1.
図書
谷山豊著 ; 杉浦光夫 [ほか] 編
出版情報:
東京 : 日本評論社, 1994.10 369p, 図版 [1] 枚 ; 27cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Jacobian varieties and number fields : a mimeographed note, University of Tokyo (September, 1955)
Jacobian varieties and number fields : mimeographed notes (the International Symposium on Algebraic Number Theory, Tokyo-Nikko, September, 1955)
Jacobian varieties and number fields : proceedings of the International Symposium on Algebraic Number Theory, Tokyo-Nikko, 1955; pp.31-45; (October, 1956)
On a certain relation between L-functions : an unpublished manuscript dated February 4, 1956
Regular local system for an abelian extension : an unpublished manuscript written on February 17, 1956
A letter to André Weil
L-functions of number fields and zeta functions of abelian varieties : Journal of the Mathematical Society of Japan, vol.9, pp.330-366 (July, 1957)
Distribution of positive 0-cycles in absolute classes of an algebraic variety with finite constant field : Scientific papers of the College of General Education, University of Tokyo, Vol.8, pp.123-137 (1958)
Problems
ABEL函数体ノn-分割ニツイテ : WEILノ有限性定理ノ代数的証明
日本数学会講演アブストラクト
Jacobi多様体と数体
虚数乗法に関する非公式討論会
問題
A.Weilの印象
A.Weilをめぐって
類体の構成について
モヅル函数と合同ζ-函数
整数論
空々しさということ
虚数乗法と合同ζ-函数
シンポジウムについて
代数幾何学と整数論
A.Weilに接して
Weylと整数論
数論グループ
代数的整数論におけるζ-函数
巻頭に寄せて
少数精鋭主義について
整数論展望
数理科学研究所設立の問題について : 全国の研究者各位に訴える
米国留学について二つの意見
大学院の問題について
応用数学小委員会への質問状 : 数理研の問題について
ヒルベルトのモヂュラー函数について
(自己紹介)
「零 (ゼロ) の発見」
「科学と方法」
1955年国際数学会議
Quelques questions
或る映画を見てある人がどう考へるかと云ふことについて : 一つの実例
四行詩
屋上屋を架す
正雄さんの話
正夫さんの話
現代数学の性格について
新人紹介 Peter Roquette
A.Weil「ゼータ函数の育成について」
A.Weil「イデール類群の或る指標について」
『近代的整数論』第1章歴史
Jacobian varieties and number fields : a mimeographed note, University of Tokyo (September, 1955)
Jacobian varieties and number fields : mimeographed notes (the International Symposium on Algebraic Number Theory, Tokyo-Nikko, September, 1955)
Jacobian varieties and number fields : proceedings of the International Symposium on Algebraic Number Theory, Tokyo-Nikko, 1955; pp.31-45; (October, 1956)
2.
図書
V.Ostrovskyi, Yu. Samoilenko
3.
図書
edited by Károly Böröczky, Jr., Walter Neumann, András Stipsicz
4.
図書
editor of the volume, Jerzy Jezierski
5.
図書
edited by Michael Schneider, Yum-Tong Siu
6.
図書
Steven G. Krantz
出版情報:
Boston, Mass. : Birkhäuser, c1999 xxiv, 290 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
7.
図書
edited by H. Kawarada, M. Nakamura and Z. Shi
8.
図書
editors, A. Degasperis and G. Gaeta
出版情報:
Singapore : World Scientific, c1999 xi, 321 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
9.
図書
edited by A. Comtet, T. Jolicœur, S. Ouvry and F. David
出版情報:
Berlin : Springer in cooperation with the NATO Scientific Affair Division , Les Ulis : EDP sciences, 1999 xxxiv, 909 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Lecturers
Participants
Préface
Preface
Contents
Electrons in a Flatland / M. ShayeganCourse 1：
Introduction / 1：
Samples and measurements / 2：
2D electrons at the GaAs/AlGaAs interface / 2.1：
Magnetotransport measurement techniques / 2.2：
Ground states of the 2D System in a strong magnetic field / 3：
Shubnikov-de Haas oscillations and the IQHE / 3.1：
FQHE and Wigner crystal / 3.2：
Composite fermions / 4：
Ferromagnetic state at ν = 1 and Skyrmions / 5：
Correlated bilayer electron states / 6：
Overview / 6.1：
Electron System in a wide, single, quantum well / 6.2：
Evolution of the QHE states in a wide quantum well / 6.3：
Evolution of insulating phases / 6.4：
Many-body, bilayer QHE at ν = 1 / 6.5：
Spontaneous interlayer Charge transfer / 6.6：
Summary / 6.7：
The Quantum Hall Effect: Novel Excitations and Broken Symmetries / S.M.GirvinCourse 2：
The quantum Hall effect
Why 2D is important / 1.1：
Constructing the 2DEG / 1.3：
Why is disorder and localization important? / 1.4：
Classical dynamics / 1.5：
Semi-classical approximation / 1.6：
Quantum dynamics in strong B Fields / 1.7：
IQHE edge states / 1.8：
Semiclassical percolation picture / 1.9：
Fractional QHE / 1.10：
The ν = 1 many-body state / 1.11：
Neutral collective excitations / 1.12：
Charged excitations / 1.13：
FQHE edge states / 1.14：
Quantum hall ferromagnets / 1.15：
Coulomb exchange / 1.16：
Spin wave excitations / 1.17：
Effective action / 1.18：
Topological excitations / 1.19：
Skyrmion dynamics / 1.20：
Skyrme lattices / 1.21：
Double-layer quantum Hall ferromagnets / 1.22：
Pseudospin analogy / 1.23：
Experimental background / 1.24：
Interlayer phase coherence / 1.25：
Interlayer tunneling and tilted field effects / 1.26：
Lowest Landau level projection / Appendix A：
Berry's phase and adiabatic transport / Appendix B：
Aspects of Chern-Simons Theory / G.V.DunneCourse 3：
Basics of planar field theory
Chern-Simons coupled to matter fields - "anyons"
Maxwell-Chern-Simons: Topologically massive gauge theory
Fermions in 2 + 1-dimensions / 2.3：
Discrete symmetries: <$>{\cal P}, {\cal C}<$> and <$>{\cal T}<$> / 2.4：
Poincaré algebra in 2 + 1-dimensions / 2.5：
Nonabelian Chern-Simons theories / 2.6：
Canonical quantization of Chern-Simons theories
Canonical structure of Chern-Simons theories
Chern-Simons quantum mechanics
Canonical quantization of abelian Chern-Simons theories / 3.3：
Quantization on the torus and magnetic translations / 3.4：
Canonical quantization of nonabelian Chern-Simons theories / 3.5：
Chern-Simons theories with boundary / 3.6：
Chern-Simons vortices
Abelian-Higgs model and Abrikosov-Nielsen-Olesen vortices / 4.1：
Relativistic Chern-Simons vortices / 4.2：
NonabelianrelativisticChern-Simonsvortices / 4.3：
Nonrelativistic Chern-Simons vortices: Jackiw-Pi model / 4.4：
NonabeliannonrelativisticChern-Simonsvortices / 4.5：
Vortices in the Zhang-Hansson-Kivelson model for FQHE / 4.6：
Vortex dynamics / 4.7：
Induced Chern-Simons terms
Perturbatively induced Chern-Simons terms: Fermion loop / 5.1：
Induced currents and Chern-Simons terms / 5.2：
Induced Chern-Simons terms without fermions / 5.3：
A finite temperature puzzle / 5.4：
Quantum mechanical finite temperature model / 5.5：
Exact finite temperature 2 + 1 effective actions / 5.6：
Finite temperature perturbation theory and Chern-Simons terms / 5.7：
Anyons / J. MyrheimCourse 4：
The concept of particle statistics
Statistical mechanics and the many-body problem
Experimental physics in two dimensions
The algebraic approach: Heisenberg quantization
More general quantizations
The configuration space
The Euclidean relative space for two particles
Dimensions d = 1, 2, 3
Homotopy
The braid group
Schrödinger quantization in one dimension
Heisenberg quantization in one dimension
The coordinate representation
Schrödinger quantization in dimension d ≥ 2
Scalar wave functions
Interchange phases
The statistics vector potential
The N-particle case
Chern-Simons theory
The Feynman path integral for anyons
Eigenstates for Position and momentum
The path integral
Conjugation classes in SN
The non-interacting case
Duality of Feynman and Schrödinger quantization
The harmonic oscillator / 7：
The two-dimensional harmonic oscillator / 7.1：
Two anyons in a harmonic oscillator potential / 7.2：
More than two anyons / 7.3：
The three-anyon problem / 7.4：
The anyon gas / 8：
The cluster and virial expansions / 8.1：
First and second order perturbative results / 8.2：
Regularization by periodic boundary conditions / 8.3：
Regularization by a harmonic oscillator potential / 8.4：
Bosons and fermions / 8.5：
Two anyons / 8.6：
Three anyons / 8.7：
The Monte Carlo method / 8.8：
The path integral representation of the coefficients <$>G_{\cal P}<$> / 8.9：
Exact and approximate polynomials / 8.10：
The fourth virial coefficient of anyons / 8.11：
Two polynomial theorems / 8.12：
Charged particles in a constant magnetic field / 9：
One particle in a magnetic field / 9.1：
Two anyons in a magnetic field / 9.2：
The anyon gas in a magnetic field / 9.3：
Interchange phases and geometric phases / 10：
Introduction to geometric phases / 10.1：
Two particles in a magnetic field / 10.2：
Interchange of two anyons in potential wells / 10.4：
Laughlin's theory of the fractional quantum Hall effect / 10.5：
Generalized Statistics in One Dimension / A.P. PolychronakosCourse 5：
Permutation group approach
Realization of the reduced Hilbert space
Path integral and generalized statistics
Cluster decomposition and factorizability
One-dimensional systems: Calogero model
The Calogero-Sutherland-Moser model
Large-N properties of the CSM model and duality
One-dimensional systems: Matrix model
Hermitian matrix model
The unitary matrix model
Quantization and spectrum
Reduction to spin-particle systems
Operator approaches
Exchange operator formalism
Systems with internal degrees of freedom
Asymptotic Bethe ansatz approach
The freezing trick and spin models
Exclusion statistics
Motivation from the CSM model
Semiclassics - Heuristics
Exclusion statistical mechanics
Exclusion statistics path integral
Is this the only "exclusion" statistics?
Epilogue
Lectures on Non-perturbative Field Theory and Quantum Impurity Problems / H.SaleurCourse 6：
Some notions of conformal field theory
The free boson via path integrals
Normal ordering and OPE
The stress energy tensor
Conformal in(co)variance
Some remarks on Ward identities in QFT
The Virasoro algebra: Intuitive introduction
Cylinders
The free boson via Hamiltonians
Modular invariance
Conformal invariance analysis of quantum impurity fixed points
Boundary conformal field theory
Partition functions and boundary states
Boundary entropy
The boundary sine-Gordon model: General results
The model and the flow
Perturbation near the UV fixed point
Perturbation near the IR fixed point
An alternative to the instanton expansion: The conformal invariance analysis
Search for integrability: Classical analysis
Quantum integrability
Conformal perturbation theory
S-matrices
Back to the boundary sine-Gordon model
The thermodynamic Bethe-ansatz: The gas of particles with "Yang-Baxter statistics"
Zamolodchikov Fateev algebra
The TBA
A Standard computation: The central Charge
Thermodynamics of the flow between N and D fixed points
Using the TBA to compute static transport properties
Tunneling in the FQHE
Conductance without impurity
Conductance with impurity
Quantum Partition Noise and the Detection of Fractionally Charged Laughlin Quasiparticles / D.C. GlattliSeminar 1：
Partition noise in quantum conductors
Quantum partition noise
Partition noise and quantum statistics
Quantum conductors reach the partition noise limit
Experimental evidences of quantum partition noise in quantum conductors
Partition noise in the quantum Hall regime and determination of the fractional Charge
Edge states in the integer quantum Hall effect regime
Tunneling between IQHE edge channels and partition noise
Edge channels in the fractional regime
Noise predictions in the fractional regime
Measurement of the fractional Charge using noise
Beyond the Poissonian noise of fractional charges
Mott Insulators, Spin Liquids and Quantum Disordered Superconductivity / Matthew P.A. FisherCourse 7：
Models and metals
Noninteracting electrons
Interaction effects
Mott insulators and quantum magnetism
Spin models and quantum magnetism
Spin liquids
Bosonization primer
2 Leg Hubbard ladder
Bonding and antibonding bands
Interactions
Bosonization
d-Mott phase
Symmetry and doping
d-Wave superconductivity
BGS theory re-visited
d-wave symmetry
Continuum description of gapless quasiparticles
Effective field theory
Quasiparticles and phase flucutations
Nodons
Vortices
ic/2e versus hc/e vortices
Duality
Nodal liquid phase
Half-filling
Doping the nodal liquid
Closing remarks
Lattice duality
Two dimensions / A.1：
Three dimensions / A.2：
Statistics of Knots and Entangled Random Walks / S. NechaevCourse 8：
Lecturers
Participants
Préface
10.
図書
Doina Cioranescu and Patrizia Donato
目次情報:
続きを見る
Introduction
Weak and weak]*-convergences in Banach spaces / 1：
Rapidly oscillating periodic functions / 2：
Some classes in Sobolev spaces / 3：
Some variational elliptic problems / 4：
Examples of periodic composite materials / 5：
Homogenization of elliptic equations: the convergence result / 6：
The multiple-scale method / 7：
Tartar's method of oscillating test functions / 8：
The two-scale convergence method / 9：
Homogenization in linearized elasticity / 10：
Homogenization of the heat equation / 11：
Homogenization of the wave equation / 12：
General approaches to the non-periodic case / 13：
Bibliography
Index
Introduction
Weak and weak]*-convergences in Banach spaces / 1：
Rapidly oscillating periodic functions / 2：
11.
図書
Ya. Eliashberg ... [et al.], editors
目次情報:
続きを見る
Quantization of symplectic orbifolds and group actions / A. Cannas da Silva ; V. Guillemin
Symmetric spaces, Kahler geometry and Hamiltonian dynamics / S. K. Donaldson
Hamiltonian dynamical systems without periodic orbits / V. L. Ginzburg
The mirror formula for quintic threefolds / A. Givental
Stabilisation of symplectic inequalities and applications / F. Lalonde ; C. Pestieau
The virtual moduli cycle / D. McDuff
Engel deformations and contact structures / R. Montgomery
Floer homology, Novikov rings and clean intersections / M. Pozniak
Surgery, quantum cohomology and birational geometry / Y. Ruan
Quantum products for mapping tori and the Atiyah-Floer conjecture / D. A. Salamon
On the group of symplectic automorphisms of $\mathbb{C}P^m \times \mathbb{C}P^n$ / P. Seidel
On the cohomology rings of Hamiltonian $T$-spaces / S. Tolman ; J. Weitsman
Quantization of symplectic orbifolds and group actions / A. Cannas da Silva ; V. Guillemin
Symmetric spaces, Kahler geometry and Hamiltonian dynamics / S. K. Donaldson
Hamiltonian dynamical systems without periodic orbits / V. L. Ginzburg
12.
図書
J. Bertoin, F. Martinelli, Y. Peres ; editor, Pierre Bernard
目次情報:
続きを見る
Subordinators Examples and Applications / Jean Bertoin
Foreword / 0：
Elements on subordinators / 1：
Definitions and first properties / 1.1：
The Lévy-Khintchine formula / 1.2：
The renewal measure / 1.3：
The range of a subordinator / 1.4：
Regenerative property / 2：
Regenerative sets / 2.1：
Connection with Markov processes / 2.2：
Asymptotic behaviour of last passage times / 3：
Asymptotic behaviour in distribution / 3.1：
The self-similar case / 3.1.1：
The Dynkin-Lamperti theorem / 3.1.2：
Asymptotic sample path behaviour / 3.2：
Rates of growth of local time / 4：
Law of the iterated logarithm / 4.1：
Modulus of continuity / 4.2：
Geometric properties of regenerative sets / 5：
Fractal dimensions / 5.1：
Box-counting dimension / 5.1.1：
Hausdorff and packing dimensions / 5.1.2：
Intersections with a regenerative set / 5.2：
Equilibrium measure and capacity / 5.2.1：
Dimension criteria / 5.2.2：
Intersection of independant regenerative sets / 5.2.3：
Burgers equation with Brownian initial velocity / 6：
Burgers equation and the Hopf-Cole solution / 6.1：
Brownian initial velocity / 6.2：
Proof of the theorem / 6.3：
Random covering / 7：
Setting / 7.1：
The Laplace exponent of the uncovered set / 7.2：
Some properties of the uncovered set / 7.3：
Levy processes / 8：
Local time at a fixed point / 8.1：
Local time at the supremum / 8.2：
The spectrally negative case / 8.3：
Bochner's subordination for Lévy processes / 8.4：
Occupation times of a linear Brownian motion / 9：
Occupation times and subordinators / 9.1：
Levy measure and Laplace exponent / 9.2：
Lévy measure via excursion theory / 9.2.1：
Laplace exponent via the Sturm-Liouville equation / 9.2.2：
Spectral representation of the Laplace exponent / 9.2.3：
The zero set of a one-dimensional diffusion / 9.3：
Lectures on Glauber Dynamics for Discrete Spin Models / Fabio Martinelli
Introduction
Gibbs Measures of Lattice Spin Models
Notation
Gibbs Measures
Weak and String Mixing Conditions / 2.3：
Mixing properties and bounds on relative densities / 2.4：
The Glauber Dynamics
The Dynamics in Finite Volume
Infinite Volume Dynamics
Graphical Construction / 3.3：
Attractive Dynamics for Ferromagnetic Interactions / 3.4：
Spectral Gap and Logarithmic Sobolev Constant / 3.5：
From Single Spin Dynamics to Block Dynamics / 3.6：
General Results on the Spectral Gap / 3.7：
General Results on the Logarithmic Sobolev Constant / 3.8：
Possible Rates of Convergence to Equilibrium / 3.9：
One Phase Region
The Attractive Case
The General Case Recursive Analysis
Boundary Phase Transitions
The Solid-on-Solid Approximation
Back to the Ising-Model
Recent Progresses / 5.3：
Phase Coexistence
Some Preliminary Key Equilibrium Results
A Geometric Bound on the Spectral Gap
A Lower Bound on the Spectral Gap with + B.C
A Lower Bound on the Spectral Gap with Free B.C / 6.4：
Upper Bound on the Spectral Gap with Free B.C / 6.5：
Mixed B.C / 6.6：
Applications / 6.7：
Glauber Dynamics for the Dilute Ising Model
The Dynamics in the Paramagnetic Phase
The Dynamics in the Griffiths Phase p < pc|
The Dynamics in the Griffiths Phase p = pc
A Coarse Grained Description Above pc / 7.4：
Proof of the Main Results Above pc / 7.5：
Probability on Trees an Introductory Climb / Yuval Peres
Preface
Basic Definitions and a Few Highlights
Galton-Watson Trees
General percolation on a connected graph
The First-Moment Method
Quasi-independent Percolation
The Second Moment Method
Electrical Networks
Infinite Networks
The Method of Random Paths / 10：
Transience of Percolation Clusters / 11：
Subperiodic Trees / 12：
The Random Walks RWλ / 13：
Capacity / 14：
Intersection-Equivalence / 15：
Reconstruction for the Ising Model on a Tree / 16：
Unpredictable Paths in Z and EIT in Z3 / 17：
Tree-Indexed Processes / 18：
Recurrence for Tree-Indexed Markov Chains / 19：
Dynamical Percolation / 20：
Stochastic Domination Between Trees / 21：
Subordinators Examples and Applications / Jean Bertoin
Foreword / 0：
Elements on subordinators / 1：
13.
図書
Andreas Eberle
14.
図書
Kenneth R. Meyer
目次情報:
続きを見る
Introduction / 1：
History / 1.1：
Global vs. Local Notation / 1.2：
Summary of Chapters / 1.3：
Further R eading / 1.4：
Equations of Celestial Mechanics / 2：
N-Body Problem / 2.1：
The Kepler Problem / 2.2：
R estricted Problem / 2.3：
Hill's Lunar Equations / 2.4：
Elliptic Problem / 2.5：
Problems / 2.6：
Hamiltonian Systems / 3：
Symplectic Coordinates / 3.1：
Generating Functions / 3.3：
R otating Coordinates / 3.4：
Jacobi Coordinates / 3.5：
Action-Angle and Polar Coordinates / 3.6：
Solution of the Kepler Problem / 3.7：
Spherical Coordinates / 3.8：
Symplectic Scaling / 3.9：
Central Configurations / 3.10：
Equilibrium Solutions / 4.1：
Equations for a Central Configuration / 4.2：
Relative Equilibrium / 4.3：
Lagrangian Solutions / 4.4：
Euler-Moulton Solutions / 4.5：
Central Configuration Coordinates / 4.6：
Symmetries,Integrals,and Reduction / 4.7：
Group Actions and Symmetries / 5.1：
Systems with Integrals / 5.2：
Noether's Theorem / 5.3：
Integrals / 5.4：
Symplectic R eduction / 5.5：
Reducing the N-Body Problem / 5.6：
Theory of Periodic Solutions / 5.7：
Equilibrium Points / 6.1：
Fixed Points / 6.2：
Periodic Differential Equations / 6.3：
Autonomous Systems / 6.4：
Systems with Symmetries / 6.5：
Hamiltonian Systems with Symmetries / 6.7：
Satellite Orbits / 6.8：
Main Problem for Satellite Problem / 7.1：
Continuation of Solutions / 7.2：
The Restricted Problem / 7.3：
Main Problem for the Three-Bodies / 8.1：
Continuation of Periodic Solutions / 8.2：
Bifurcations of Periodic Solutions / 8.3：
Main Problem for (N + l)-Bodies / 8.4：
R eduction / 8.5：
Lunar Orbits / 8.6：
Main Problem / 9.1：
Continuation / 9.2：
Comet Orbits / 9.3：
Jacobi Coordinates and Scaling / 10.1：
Kepler Problem / 10.2：
R educed Space / 10.3：
The Elliptic Problem / 10.5：
Apollonius Coordinates / 12.1：
Symmetries and R eduction / 12.2：
References / 12.5：
Index
Introduction / 1：
History / 1.1：
Global vs. Local Notation / 1.2：
15.
図書
O. Diekmann ... [et al.] ; editors, V. Capasso, O. Diekmann
目次情報:
続きを見る
Modeling and Analysing Physiologically Structured Populations / Diekmann O.
Stochastic Spatial Models / Durrett R.
Reaction Transport Systems in Biological Modelling / Hadeler K.P.
Mathematical Models in Morphogenesis / Maini P.
Dynamics of Competition / Smith H.
Modeling and Analysing Physiologically Structured Populations / Diekmann O.
Stochastic Spatial Models / Durrett R.
Reaction Transport Systems in Biological Modelling / Hadeler K.P.
16.
図書
Anders Björner ... [et al.]
目次情報:
続きを見る
Preface
Notation
A first orientation session / 1：
A second orientation session / 2：
Axiomatics / 3：
From face lattices to topology / 4：
Topological models for oriented matroids / 5：
Arrangements of pseudolines / 6：
Constructions / 7：
Realizability / 8：
Convex polytopes / 9：
Linear programming / 10：
Some current frontiers of research / Appendix：
Bibliography
Index
Preface
Notation
A first orientation session / 1：
17.
図書
K.D. Elworthy, Y. Le Jan, Xue-Mei Li
18.
図書
Edward Bierstone ... [et al.], editors
目次情報:
続きを見る
From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
Topological problems in wave propagation theory and topological economy principle in algebraic geometry
Geometry and control of three-wave interactions / M. S. Alber ; G. G. Luther ; J. E. Marsden ; J. M. Robbins
Standard basis along a Samuel stratum, and implicit differentiation / E. Bierstone ; P. D. Milman
A global weighted version of Bezout's theorem / J. Damon
Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds / A. Degtyarev ; V. Kharlamov
On the index of a vector field at an isolated singularity / W. Ebeling ; S. M. Gusein-Zade
The exponential map on $\mathcal{D}^s_\mu$ / D. G. Ebin ; G. Misiolek
Zeldovich's neutron star and the prediction of magnetic froth / M. H. Freedman
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds / K. Fukaya ; K. Ono
Multiplicity of a zero of an analytic function on a trajectory of a vector field / A. Gabrielov
Singularity theory and symplectic topology / A. B. Givental
On enumeration of meromorphic functions on the line / V. V. Goryunov ; S. K. Lando
Pseudoholomorphic curves and dynamics / H. Hofer ; E. Zehnder
Bifurcation of planar and spatial polycycles: Arnold's program and its development / Yu. S. Ilyashenko ; V. Yu. Kaloshin
Singularity which has no $M$-smoothing / V. M. Kharlamov ; S. Yu. Orevkov ; E. I. Shustin
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces / B. Khesin ; A. Rosly
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations / A. Khovanskii
Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations / W. F. Langford ; K. Zhan
Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau,\eta}sl_2$ / E. Mukhin ; A. Varchenko
Schrodinger operators on graphs and symplectic geometry / S. P. Novikov
On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system / M. Rudnev ; S. Wiggins
Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc. / V. A. Vassiliev
On Arnold's variational principles in fluid mechanics / V. A. Vladimirov ; K. I. Ilin
On functions and curves defined by ordinary differential equations / S. Yakovenko
Global finiteness properties of analytic families and algebra of their Taylor coefficients / Y. Yomdin
From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
19.
図書
edited by Werner Hauβmann, Kurt Jetter, Manfred Reimer
20.
図書
Randall McCutcheon
21.
図書
Kang Zuo
目次情報:
続きを見る
Introduction / 1：
Preliminaries / 2：
Review of Algebraic groups over arbitrary fields / 2.1：
Representations of fundamental groups and Moduli spaces / 2.2：
p-adic norm on a vector space and Bruhat-Tits buildings / 2.3：
Harmonic metrics on flat vector bundles / 3：
Pluriharmonic maps of finite energy / 3.1：
Pluriharmonic maps of possibly infinite energy but with con- trolled growth at infinity / 3.2：
Non-abelian Hodge theory, factorization theorems for non rigid or p-adic unbounded representations / 4：
Higgs bundles for archimedean representations and equivari- ant holomorphic 1-forms for p-adic representations / 4.1：
Albanese maps and a Lefschetz type theorem for holomorphic 1-forms / 4.2：
Factorizations for nonrigid representations into almost simple complex algebraic groups / 4.3：
Factorizations for p-adic unbounded representations into al- most simple p-adic algebraic groups / 4.4：
Simpson's construction of families of nonrigid representations / 4.5：
Shafarevich maps for representations of fundamental groups, Kodaira dimension and Chern-hyperbolicity of Shafarevich varieties / 5：
Shafarevich maps and general discussions / 5.1：
Constructing automorphic forms via equivariant pluriharmonic maps into Bruhat-Tits building / 5.2：
Kodaira dimension and Chern-hyperbolicity of Shafarevich va- rieties / 5.3：
A finiteness property of representations of fundamental groups of algebraic surfaces, which contain configurations of rational curves / 5.4：
Reference
Index
Introduction / 1：
Preliminaries / 2：
Review of Algebraic groups over arbitrary fields / 2.1：
22.
図書
Anthony Iarrobino, Vassil Kanev
目次情報:
続きを見る
Introduction: Informal History and Brief Outline
Canonical forms, and catalecticant matrices of higher partial derivatives of a form / 0.1：
Apolarity and Artinian Gorenstein algebras / 0.2：
Families of sets of points / 0.3：
Brief summary of chapters / 0.4：
Catalecticant Varieties / Part I：
Forms and Catalecticant Matrices / Chapter 1：
Apolarity and catalecticant varieties: the dimensions of the vector spaces of higher partials / 1.1：
Determinantal loci of the first catalecticant, the Jacobian / 1.2：
Binary forms and Hankel matrices / 1.3：
Detailed summary and preparatory results / 1.4：
Sums of Powers of Linear Forms, and Gorenstein Algebras / Chapter 2：
Waring's problem for general forms / 2.1：
Uniqueness of additive decompositions / 2.2：
The Gorenstein algebra of a homogeneous polynomial / 2.3：
Tangent Spaces to Catalecticant Schemes / Chapter 3：
The tangent space to the scheme Gor(T) parametrizing forms with fixed dimensions of the partials / 3.1：
The Locus PS(s,j;r) of Sums of Powers, and Determinantal Loci of Catalecticant Matrices / Chapter 4：
The case r = 3 / 4.1：
Gorenstein ideals whose lowest degree generators are a complete intersection / 4.2：
The smoothness and dimension of the scheme Gor(T) when r = 3: a survey / 4.4：
Catalecticant Varieties and the Punctual Hilbert Scheme / Part II：
Forms and Zero-Dimensional Schemes I: Basic Results, and the Case r = 3 / Chapter 5：
Flat families of zero-dimensional schemes and limit ideals / 5.1：
Existence theorems for annihilating schemes when r = 3 / 5.3：
The generator and relation strata of the variety Gor(T) parametrizing Gorenstein algebras / 5.3.1：
The morphism from Gor(T): the case T ? D(s,s,s) / 5.3.2：
Morphism: the case T ? D(s - a,s,s,s - a) / 5.3.3：
Morphism: the case T ? D(s - a,s,s - a) / 5.3.4：
Adimension formula for the variety Gor(T) / 5.3.5：
Power sum representations in three and more variables / 5.4：
Betti strata of the punctual Hilbert scheme / 5.5：
The length of a form, and the closure of the locus PS(s,j;3) of power sums / 5.6：
Forms and Zero-Dimensional Schemes, II: Annihilating Schemes and Reducible Gor(T) / 5.7：
Uniqueness of the annihilating scheme; closure of PS(s,J;r) / 6.1：
Varieties Gor(T), T = T(j,r), with several components / 6.2：
Other reducible varieties Gor(T) / 6.3：
Locally Gorenstein annihilating schemes / 6.4：
Multisecant varieties of the Veronese variety / Chapter 7：
Closures of the Variety Gor(T), and the Parameter Space G(T) of Graded Algebras / Chapter 8：
Questions and Problems / Chapter 9：
Divided Power Rings and Polynomial Rings / Appendix A：
Height Three Gorenstein Ideals / Appendix B：
Pfaffian formulas / B.1：
Resolutions of height 3 Gorenstein ideals andtheir squares / B.2：
Resolutions of annihilating ideals of power sums / B.3：
Maximum Betti numbers, given T / B.4：
The Gotzmann Theorems and the Hilbert Scheme (Anthony Iarrobino and Steven L. Kleiman) / Appendix C：
Order sequences and Macaulay's Theorem on Hilbert functions / C.1：
Macaulay and Gotzmann polynomials / C.2：
Gotzmann's Persistence Theorem and m-Regularity / C.3：
Examples of "Macaulay" Scripts / C.4：
Concordance with the 1996 Version / Appendix E：
References
Index
Index of Names
Index of Notation
Introduction: Informal History and Brief Outline
Canonical forms, and catalecticant matrices of higher partial derivatives of a form / 0.1：
Apolarity and Artinian Gorenstein algebras / 0.2：
23.
図書
Vladimir Arnold, Maxim Kontsevich, Anton Zorich, editors
目次情報:
続きを見る
On the topology of quasiperiodic functions / S. M. Gusein-Zade
Statistics of Klein polyhedra and multidimensional continued fractions / M. L. Kontsevich ; Yu. M. Suhov
$C^0$-generic properties of boundary operators in the Novikov complex / A. Pajitnov
Pseudoperiodic mappings / D. A. Panov
How do the leaves of a closed 1-form wind around a surface? / A. Zorich
On the topology of quasiperiodic functions / S. M. Gusein-Zade
Statistics of Klein polyhedra and multidimensional continued fractions / M. L. Kontsevich ; Yu. M. Suhov
$C^0$-generic properties of boundary operators in the Novikov complex / A. Pajitnov
24.
図書
edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
目次情報:
続きを見る
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1：
Transference Principles in Ergodic Theory / Alexandra Bellow2：
A Weak-Type Inequality for Convolution Products / Alberto P. Calderon3：
Transference Couples and Weighted Maximal Estimates Earl / Berkson ; Maciej Paluszynski ; Guido Weiss4：
Periodic Solutions and Nonlinear Wave Equations / Jean Bourgain5：
Some Extremal Problems in Martingale Theory and Ilarmonic Analysis / Donald L. Burkholder6：
The Monge Ampere Equation, Allocation Problems, and Elliptic Systems with Affine Invariance / Luis A. Caffarelli7：
On a Fourth-Order Partial Differential Equation in Conformal Geometry / Sun-Yung A. Chang8：
Riesz Transforms, Commutators, and Stochastic Integrals / A. B. Cruzeiro ; P. Malliavin9：
An Application of a Formula of Alberto Calderon to Speaker Identification Ingrid / Daubechies ; Stephane Maes10：
Analytic Capacity, Cauchy Kernel, Menger Curvature, and Rectifiability / Guy David11：
Symplectic Subunit Balls and Algebraic Functions / Charles Fefferman12：
Multiparameter Calderon-Zygmund Theory / Robert A. Fefferman13：
Nodal Sets of Sums of Eigenfunctions / David Jerison ; Gilles Lebeau14：
Large-Time Behavior and Self-Similar Solutions of Some Semilinear Diffusion Equations / Yves Meyer15：
Estimates for Elliptic Equations in Unbounded Domains and Applications to Symmetry and Monotonicity / Louis Nirenberg16：
Asymptotic Expansions for Atiyah-Patodi-Singer Problems / Robert Seeley17：
Analysis on Metric Spaces / Stephen Semmes18：
Developments in Inverse Problems since Calderon's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference / 19：
Contributors
Index
Calderón and Zygmund's Theory of Singular Integrals
Transference Couples and Weighted Maximal Estimates Earl Berkson / Alberto P. Calderón
An Application of a Formula of Alberto Calderón to Speaker Identification / Ingrid Daubechies ; Stéphane Maes
Multiparameter Calderón-Zygmund Theory
Developments in Inverse Problems since Calderón's Foundational Paper Gunther Uhlmann Remarks Addressed to the Conference
Preface
Introduction / Michael Christ ; Carlos E. Kenig ; Cora Sadosky
Calderon and Zygmund's Theory of Singular Integrals / Elias M. Stein1：
25.
図書
James C. Moore
目次情報:
続きを見る
Set Theory and Properties of Rn
Set-Theoretic Notation and Concepts
Properties of The Real Numbers
Binary Relations
Euclidean Norm and Metric
Open and Closed Sets in Rn
Relatively Open and Closed Sets
Some Linear Space Properties of Rn
Sequences and Infinite Series
Sequences of Real Numbers
Subsequences and Cauchy Sequences
Infinite Series
Efficient Intertemporal Allocation
Sequences and Series in Rn
Continuity
Continuous Vector-Valued Functions
Continuity and Compactness
Semi-Continuous Functions
Limits Inferior and Superior of a Function
Transformation Functions
Production and Cost Functions
Sequences of Functions and Limits
Linear Spaces
Introduction
Linear Combinations and Subspaces
Linear Transformations and Functionals
Normed Linear Spaces
Inner Product Spaces
Product Spaces and Direct Sums
Affine Sets
Convex Sets and Functions
Convex Sets
Relative Interiors of Convex Sets
Extreme Points of a Convex Set
Minimum Distance and Projection Theorems
Basic Separation Theorems in Rn
Convex and Concave Functions
Continuity of Convex Functions
Quasi-Concave Functions
Applications of Convexity
Basic Production and Cost Theory
Distance and Support Functions
Duality of Cost and Production
Homotheticity
Welfare Economics
Constrained Extrema and Saddle Points
An Introduction to Topology.
Basic Concepts.
Closed Sets and Closures.
Topological Bases.
Continuous Functions.
Metric Spaces.
Complete Metric Spaces.
Nets and Convergence.
Additional Topics in Topology.
Relative and Product Topologies.
Compactness.
Hausdorff and Normal Spaces.
Compact Metric Spaces.
Connected Spaces.
Paracompactness and Partitions of Unity.
Correspondences.
Preliminary Considerations.
Hemi-Continuous Correspondences.
Correspondences Defined by Functions.
Closed Correspondences.
The Domain and Range of Correspondences.
Compositions of Correspondences.
Operations with Correspondences.
Correspondences into Metric Spaces.
Open Correspondences and Open Sections.
Banach Spaces.
Preliminaries.
An Introduction to Banach Spaces.
Bounded Linear Mappings.
Some Fundamental Theorems.
Dual Spaces.
Topological Vector Spaces.
Introduction.
Continuous Functions and Convex Sets.
Separation Theorems.
Equilibrium Models in Hilbert Space.
Locally Convex Spaces.
Selection and Fixed Point Theorems.
Maximum Theorems.
Sperner`s Lemma and the K-K-M Theorem.
Fixed Point Theorems.
Selection Theorems.
Equilibrium in an "Abstract Economy".
Set Theory and Properties of Rn
Set-Theoretic Notation and Concepts
Properties of The Real Numbers
26.
図書
Jean-Pierre Croisille, Gilles Lebeau
目次情報:
続きを見る
Introduction / 1：
Notation and results / 2：
Strategy of the study / 2.1：
Outgoing solutions / 2.3：
Translation operators / 2.4：
Main theorems / 2.5：
Integral representation of the solution / 2.6：
Asymptotics of the diffracted wave in the fluid / 2.7：
The spectral function / 3：
The integral system for the spectral function / 3.1：
The equations solid-fluid coupled by a plane surface / 3.2：
Some properties of the operators DM and TM / 3.3：
Decomposition of the spectral function / 3.4：
The functional equation for the spectral function / 3.5：
Proofs of the results / 4：
An isomophism theorem / 4.1：
Proof of Theorem 1. Existence and uniqueness of the spectral function / 4.2：
Proof of Theorem 2. Structure of the spectral function / 4.3：
Numerical algorithm / 5：
The case of an incident wave in the fluid / 5.1：
The case of an incident Scholte-Stoneley wave / 5.3：
Approximation of the regular part of the spectral function / 5.4：
Computation of the spectral function / 5.5：
Practical issues / 5.6：
Numerical results / 6：
Presentation of the results / 6.1：
Iterates generated by the recursive formula / 6.3：
Numerical accuracy of the direct evaluation / 6.4：
Numerical diagrams of diffraction / 6.5：
Appendix
Subject Index
References
Introduction / 1：
Notation and results / 2：
Strategy of the study / 2.1：
27.
図書
Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
28.
図書
David C. Heath, Glen Swindle, editors
29.
図書
edited by Robert P. Gilbert, Joji Kajiwara and Yongzhi S. Xu
30.
図書
Michael Grosser ... [et al.] (editors)
31.
図書
Fred C. Holroyd ... [et al.] (editors)
目次情報:
続きを見る
Preface
Balancing carry-over effects in tournaments / Ian Anderson
Resolved designs viewed as sets of partitions / R A Bailey
Combinatorics and threshold cryptography / Simon R Blackburn
Block-transitive, point-intransitive block designs / Alan R Camina
Some recent developments in difference sets / James A Davis ; Jonathan Jedwab
Configurations in Steiner triple systems / M J Grannell ; T S Griggs
A survey of recent results on optimal linear codes / Ray Hill ; Emil Kolev
Preface
Balancing carry-over effects in tournaments / Ian Anderson
Resolved designs viewed as sets of partitions / R A Bailey
32.
図書
J. R. García Rozas
33.
図書
Yakov Eliashberg, Lisa Traynor, editors
目次情報:
続きを見る
Introduction
Introduction to symplectic topology Introduction
Basics Moser's argument
The linear theory
The nonsqueezing theorem and capacities
Sketch proof of the nonsqueezing theorem
Bibliography
Holomorphic curves and dynamics in dimension three Problems, basic concepts and overview
Analytical tools
The Weinstein conjecture in the overtwisted case
The Weinstein conjecture in the tight case
Some outlook
An Introduction to the Seiberg-Witten equations on symplectic manifolds Introduction
Background from differential geometry
Spin and the Seiberg-Witten equations
The Seiberg-Witten invariants
The symplectic case, part I
The symplectic case, part II
Lectures on Floer homology Introduction
Symplectic fixed points and Morse theory
Fredholm theory Floer homology
Gromov compactness and stable maps
Multi-valued perturbations
A tutorial on quantum cohomology Introduction
Moduli spaces of stable maps $QH^*(G/B)$ and quantum
Toda lattices
Singularity theory
Toda lattices and the mirror conjecture
Euler characteristics and Lagrangian intersections Introduction
Hamiltonian group actions and symplectic reduction / Lecture 1：
Introduction to Hamiltonian group actions
The geometry of the moment map
Equivariant cohomology and the Cartan model
The Duistermaat-Heckman theorem and applications to the cohomology of symplectic quotients
Moduli spaces of vector bundles over
Riemann surfaces Exercises
Park City lectures on mechanics, dynamics, and symmetry Introduction
Reduction for mechanical systems with symmetry
Stability, underwater vehicle dynamics and phases
Systems with rolling constraints and locomotion
Optimal control and stabilization of balance systems
Variational integrators
Introduction
Introduction to symplectic topology Introduction
Basics Moser's argument
34.
図書
by Tamaz S. Vashakmadze
35.
図書
by Constantin Vârsan
36.
図書
Ming-chang Kang, editor ; C.-L. Chai ... [et al.], co-authors
出版情報:
Cambridge, MA : International Press, c1998 ix, 227 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
37.
図書
edited by Bill Bruce, David Mond
38.
図書
by Zbigniew Haba
39.
図書
by Vladimir Fomin
目次情報:
続きを見る
Preface
Fields and means of describing them / 1：
Models of continuous fields and associated problems / 2：
Filtering of spatio-temporal fields / 3：
Optimal filtering of discrete homogeneous fields / 4：
Fields in electrodynamics / A Appendix：
Spectral analysis of time series / B Appendix：
Spectral analysis of discrete homogeneous fields / C Appendix：
References
Notation
Index
Preface
Fields and means of describing them / 1：
Models of continuous fields and associated problems / 2：
40.
図書
Richard A. Mollin
41.
図書
Askar Tuganbaev
目次情報:
続きを見る
Projective and Injective Modules / 1：
Bezout and Regular Modules / 2：
Continuous and Finite-Dimensional Modules / 3：
Classical Localizations / 4：
Flat Modules and Semiperfect Rings / 5：
Semihereditary Rings / 6：
Endomorphism Rings and Distributivity / 7：
Q max (A) and Nonsingular Rings / 8：
Polynomials, Series and Quaternions / 9：
Semidistributive Rings and Modules / 10：
Distributive Group and Monoid Rings / 11：
Rings Related to Commutative Rings
Self-injective and Skew-injective Rings / 12：
Projective and Injective Modules / 1：
Bezout and Regular Modules / 2：
Continuous and Finite-Dimensional Modules / 3：
42.
図書
edited by S.G. Dani
43.
図書
Robert S. Doran, Ze-Li Dou, George T. Gilbert, editors
目次情報:
続きを見る
Metaplectic generating functions and Shimura integrals / D. Bump ; S. Friedberg
On the Plancherel measure for the continuous spectrum of the modular group / B. Casselman
Average values of cubic $L$-series / D. Farmer ; J. Hoffstein ; D. Lieman
Euler factorization of global integrals / P. Garrett
Cohomological automorphic forms on unitary groups. I: Rationality of the theta correspondence / M. Harris
Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic $L$-functions / B. E. Heim
Omega results for automorphic $L$-functions / P. Lockhart
Representations of SL(2) x $G$ / K. Khuri-Makdisi
Truncated integrals and the Shintani zeta function for the space of binary quartic forms / J. Levy
On the generalized Ramanujan conjecture for GL($n$) / W. Luo ; Z. Rudnick ; P. Sarnak
On the global root numbers of GL(n) x GL(m) / D. Prasad ; D. Ramakrishnan
On period torsors / D. Blasius ; M. Borovoi
Near holomorphy, arithmeticity, and the theta correspondence / A. W. Bluher
Torsion points on $X_0(N)$ / R. Coleman ; B. Kaskel ; K. A. Ribet
A fundamental group for symbolic dynamics. I: Definitions / P. Feit
Critical values of twisted tensor $L$-functions over CM-fields / E. Ghate
Zeta functions formed with modular symbols / D. Goldfeld
Non-critical values of adjoint $L$-functions for SL(2) / H. Hida
Bounds for congruence primes / M. R. Murty
Frobenius distributions and Galois representations / V. K. Murty
Mod 6 representations of elliptic curves / K. Rubin ; A. Silverberg
On absolute CM-periods / H. Yoshida
On the global root numbers of GL($n$) x GL($m$)
Metaplectic generating functions and Shimura integrals / D. Bump ; S. Friedberg
On the Plancherel measure for the continuous spectrum of the modular group / B. Casselman
Average values of cubic $L$-series / D. Farmer ; J. Hoffstein ; D. Lieman
44.
図書
by A.V. Kim
目次情報:
続きを見る
Preface
i-Smooth Calculus / Part I：
Structure of Functionals / 1：
Properties of Functionals. Invariant Derivative / 2：
Generalized Derivatives of Nonlinear Functionals / 3：
Functional Differential Equations / Part II：
Neutral Functional Differential Equations / 4：
Direct Lyapunov Method for Systems with Delays / Part III：
The Problem Statement / 6：
The Lyapunov Functional Method / 7：
The Lyapunov Function Method / 8：
Instability / 9：
Dynamical Programming Method for Systems with Delays / Part IV：
Systems with State Delays / 10：
Systems with Control Delays / 11：
References
Index
Preface
i-Smooth Calculus / Part I：
Structure of Functionals / 1：
45.
図書
Michael Monastyrsky ; with a foreword by Freeman J. Dyson ; translated by Roger Cooke, James King, Victoria King
出版情報:
Boston : Birkhäuser, c1999 xiii, 215 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
46.
図書
Yuri I. Manin
47.
図書
P. Dräxler, G.O. Michler, C.M. Ringel, editors
48.
図書
edited by Daniel Benest and Claude Froeschlé
目次情報:
続きを見る
Modelling Mappings: an Aim and a Tool for the Study of Dynamical Systems / 1：
Spectra of Stretching Numbers and Helicity Angles / 2：
Diffusion and Transient Spectra in a 4-Dimensional Symplectic Mapping / 3：
Distribution of Periodic Orbits in 2-D Dynamical Systems / 4：
Symplectic Integrators / 5：
The Use of Mappings for Stability Problems in Beam Dynamics / 6：
Rigorous and Numerical Determination of Rotational Invariant 1urves for the Standard Map / 7：
Interpolation of Discrete / 8：
Modelling Mappings: an Aim and a Tool for the Study of Dynamical Systems / 1：
Spectra of Stretching Numbers and Helicity Angles / 2：
Diffusion and Transient Spectra in a 4-Dimensional Symplectic Mapping / 3：
49.
図書
49. Nonperturbative aspects of strings, branes, and supersymmetry : proceedings of the Spring School on nonperturbative aspects of string theory and supersymmetric gauge theories, ICTP, Trieste, Italy, 23-31 March, 1998 : proceedings of the Trieste Conference on Super-Five-Branes and Physics in 5 + 1 Dimensions, ICTP, Trieste, Italy, 1-3 April, 1998
editors, M. Duff ... [et al.]
出版情報:
Singapore : World Scientific, c1999 xi, 454 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
50.
図書
William Dunham
目次情報:
続きを見る
Introduction / 1：
Biographical sketch / 2：
Euler and number theory / 3：
Euler and logarithms / 4：
Euler and infinite series / 5：
Euler and analytic number theory / 6：
Euler and complex variables / 7：
Euler and algebra / 8：
Euler and geometry / 9：
Euler and combinatorics / 10：
Conclusion / 11：
Appendix - Opera Omnia
Introduction / 1：
Biographical sketch / 2：
Euler and number theory / 3：
51.
図書
Sheng Gong
目次情報:
続きを見る
Introduction
Lowner theory
Grunsky inequality
De Branges theorem
Several complex variable cases
References
List of symbols
Index
Introduction
Lowner theory
Grunsky inequality
52.
図書
Sigurdur Helgason
目次情報:
続きを見る
Preface to the Second Edition
Preface to the First Edition
The Radon Transform on Rn
A Duality in Integral Geometry
Generalized Radon Transforms and Orbital Integrals
The Radon Transform on Two-Point Homogeneous Spaces
Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces
Fourier Transforms and Distributions / A Rapid Course
Bibliography
Notational Conventions
Subject Index
Preface to the Second Edition
Preface to the First Edition
The Radon Transform on Rn
53.
図書
edited by Alexander I. Bobenko and Ruedi Seiler
目次情報:
続きを見る
List of contributors
Introduction / Alexander I. Bobenko ; Ruedi Seiler
Geometry / I：
Discretization of Surfaces and Integrable Systems / Ulrich Pinkall1：
A Discrete Version of the Darboux Transform for Isothermic Surfaces / Udo Hertrich-Jeromin ; Tim Hoffmann2：
Discrete Amsler Surfaces and a Discrete Painleve III Equation / 3：
Discrete cmc Surfaces and Discrete Holomorphic Maps / 4：
Discrete Indefinite Affine Spheres / Wolfgang K. Schief5：
Geometry of Discrete Curves and Lattices and Integrable Difference Equations / Adam Doliwa ; Paolo Maria Santini6：
Classical Systems / II：
R-matrices and Integrable Discretizations / Yuri B. Suris7：
Discrete Painleve Equations and Symmetry Reduction on the Lattice / Frank W. Nijhoff8：
Lagrangian Description of Doubly Discrete Sine-Gordon Type Models / Nadja Kutz9：
Quantum Systems / III：
Spectra of Quantum Integrals / Johannes Kellendonk10：
Algebraic Quantization of Integrable Models in Discrete Space-Time / Ludwig D. Faddeev ; Alexander Yu. Volkov11：
Affine Toda Field Theory as a Three-dimensional Integrable System / Rinat M. Kashaev ; Nikolai Yu. Reshetikhin12：
Quantum Hyperbolic Invariants of Knots / 13：
Charge Transport in the Discretized Landau Model / Thomas Richter14：
Index
List of contributors
Introduction / Alexander I. Bobenko ; Ruedi Seiler
Geometry / I：
54.
図書
Misha Gromov ; with appendices by M. Katz, P. Pansu, and S. Semmes ; English translation by Sean Michael Bates
目次情報:
続きを見る
Preface to the French Edition
Preface to the English Edition
Introduction: Metrics Everywhere
Length structures: Path metric spaces / 1：
Examples of path metric spaces
Arc-wise isometries
Degree and dilatation / 2：
Review : Degree of mappings between oriented manifolds
Elementary properties of dilatations for spheres
Some general homotopy counting results for Lipschitz maps
Dilatation of sphere-valued mappings
Metric structures / 3：
Lipschitz distance
Hausdorff distance
First examples of Hausdorff convergence
The noncompact case : Pointed distances
The Hausdorff-Lipschitz metric and quasi-isometry
First-order metric invariants and ultralimits
Convergence with control
Convergence and concentration of metric and measures
Loewner rediscovered: First, some history (in dimension 2) / 4：
Next, some questions in dimension Ç 3
Finally, the theorems
An application of geometric integration theory
Unstable systolic inequalities and filling
Finer inequalities and systoles of universal spaces
Manifolds with bounded Ricci curvature / 5：
Precompactness
Growth of fundamental groups
The first Betti number
Small loops
Isoperimetric inequalities and amenability / 6：
Quasiregular mappings
Isoperimetric dimension of a manifold
Computations of isoperimetric dimension
Generalizations
Morse theory and minimal models / 7：
Application to Morse theory to loop spaces
Dilatation of mappings between simply connected manifolds
Pinching and collapse / 8：
Why pinch the sectional curvature?
Implications of pinched curvature
limits of pinched manifolds
Nilpotent groups
"Quasiconvex" domains in R[superscript n] / Appendix A：
Metric spaces and mappings seen at many scales / Appen B：
Basic concepts and examples
Analysis on general spaces
Rigidity and structure
An introduction to real-variable methods
Paul Levy's isoperimetric inequality / Appen C：
Systolically Free Manifolds / Appen D：
Bibliography
Glossary of Notation
Index
Preface to the French Edition
Preface to the English Edition
Introduction: Metrics Everywhere
55.
図書
Rodrigo Bañuelos, Charles N. Moore
56.
図書
Lluís Puig
57.
図書
Seán Dineen
58.
図書
A.A. Ivanov
目次情報:
続きを見る
Introduction / 1：
Mathieu groups / 2：
Geometry of Mathieu groups / 3：
Conway groups / 4：
The monster / 5：
From Cn- to Tn-geometries / 6：
2-covers of P-geometries / 7：
Y-groups / 8：
Locally projective graphs / 9：
Introduction / 1：
Mathieu groups / 2：
Geometry of Mathieu groups / 3：
59.
図書
edited by Carles Simó
60.
図書
Jiongmin Yong, Xun Yu Zhou
61.
図書
Daniel Holtom & Elizabeth Fisher
出版情報:
London : Imperial College Press, c1999 xvi, 278 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Enjoy Writing Your Science Thesis or Dissertation! / Chapter 1：
What are the Rules?
Thesis and Dissertation Templates
The Importance of Planning
Familiarise Yourself With the Appropriate Format and Style
Get Your Information into a Workable Form
Creating a Plan for Your Thesis or Dissertation
Planning Materials and Methods
Planning Results Sections
Planning Your Introduction
Planning Your Discussion
Planning and Writing Your Abstract
Composing Your Title
Figures, Tables and Appendices
Writing Throughout the Course of Your Project
Overall Content
Writing
Putting Down the First Words
Drafts
Use of English
The Importance of Good Presentation
Plagiarism
Binding
Where to Write
Resources
Interim Reports
Key Points
Planning and Writing the References (Bibliography) / Chapter 2：
Why Reference?
What to Reference
What to Cite
How Many References and How Old?
Problem References
Quoting
The Implications of Copyright
Collecting and Storing Your References
Add Citations to Your Text As You Write
The Final Printout
Formats for Citations and References
How to Write the Full Length Reference
The Importance of Referencing Carefully
Common Mistakes
Planning and Writing Materials and Methods/Experimental Techniques / Chapter 3：
The Importance of Forward Planning
Planning Materials and Methods/Experimental Techniques
Which to Write First, Materials or Methods?
Literature Review
Writing Methods
Writing the Materials Section
Writing Conventions
What Tense to Use
Explaining the Principles
Including the Details
Controls
Using Kits
Specialised Equipment
Numbers and Symbols
Statistical Analysis, Approximation Methods, Artefacts and Repeatability of Measurements
Computer Programs and the World Wide Web
Hazards
Questionnaires and Other Relevant Information
Acknowledging Other People If They Helped You
Reading What You Have Written
Common Mistakes and Points to Bear in Mind for Different Disciplines
Planning and Writing the Results / Chapter 4：
Literature Survey
Planning Your Results Chapter
What Results to Include
What Not to Include
Including Other People's Data
The Order in Which to Present Your Results
How Many Results Chapters, in Which Order?
Writing Your Results Chapte
Writing Style
'Strategy' Section and 'Summary' Section
Titles for Results Chapters
Preparing for Your Introduction and Discussion Chapters
Statistics and Numbers
Planning and Writing the Introduction / Chapter 5：
Structure of the Introduction Chapter
Planning the Introduction
Figures, Tables, and Appendices
Writing Your Introduction
Planning and Writing the Discussion / Chapter 6：
Structure of the Discussion Chapter or Section
Read the Plan of Your Introduction and Results, and Your References
Planning the Discussion
Writing Your Discussion
Figures and Tables / Chapter 7：
Size
Numbering
Other People's Figures and Tables
Figures
Creating Figures
Manipulating Images
Annotating Figures
Size and Scale
Figure Titles
Figure Legends
Black and White or Colour?
Reproducing Figures
Graphs
Some Basic Guidelines
Annotating Graphs
Figure Title and Legend
Scatter Graphs
Line Graphs
Histograms
Bar Charts
Pie Charts
Tables
Annotating Tables
Numbers and Titles for Tables
Footnotes for Tables
Inserting Figures and Tables into a Thesis or Dissertation
Where to Put Figures and Tables
Including Figures and Tables on Computer Disc, Video Tape, CD, and Audio Tape
Deciding On a Title and Planning and Writing the Other Bits / Chapter 8：
The Title of Your Thesis or Dissertation
The Other Bits
Title Page
Abstract
Dedication
Acknowledgements
Table of Contents
Table or List of Figures
Table or List of Tables
Table or List of Appendices
List of Abbreviations
Glossary
Appendices
Computer Programs
Published Papers
Proofreading, Printing, Binding and Submission / Chapter 9：
Know Your Submission Date
Know How Many Copies You Need
Advance Organisation
Advance Organisation of Figures
Preparing to Print the Final Version
Proofreading
Printing Your Dissertation or Thesis
Adding Figures to the Completed Text
Including Your Own Publications
Submitting Your Thesis
What Happens Next
And You Thought It Was All Over / Chapter 10：
Oral Examinations
What to Expect in the Viva
Preparing for Your Viva
Taking Your Thesis or Dissertation to the Viva
Taking Raw Data to the Viva
The Day of the Viva
In the Viva
After the Viva
If You Should Fail
Supervision / Chapter 11：
Your Role
The Role of the Supervisor or Tutor
See Your Supervisor Regularly With Drafts of Your Thesis or Dissertation
Problems With Supervisors
Changing Supervisor
Managing Your Time / Chapter 12：
Managing Your Tasks
Getting, Storing and Processing Information
Textbooks, Dictionaries, English Usage Books, and Thesauruses
Libraries
Carrying out a Literature Survey
Building Your Own Library of Papers
Copyright
Information from Commercial Catalogues
Information from Microfiche
Information from CD-ROMs
Computers
Guidelines for VDU Users
Thesis Templates
Saving Your Information
Keeping Printed Copies of Your Work
Filing Your Work in Folders or Directories
Typing
Word Processing
Reference Database Programs
Spreadsheet Programs
Graph Programs
Graphics and Drawing Programs
Scanners
Computer Networks
Learn to Love Your Compute
Layout / Chapter 13：
Fonts and Line Spacing
Margins, Headers, and Footers
Alignment of Text
Titles and Headings
Separating Sections and Chapters
Inserting Page Numbers
Highlighting Text
Bullet Points
Footnotes
Check Your Layout on the Final Version of Your Manuscript
The Use of English / Chapter 14：
A Few Basic Terms and Constructions
Scientific Writing Style
Planning Your Writing
Grammar
Punctuation
Common Mistakes With Punctuation
Easily Confused Words / 1：
Prefixes and Suffixes / 2：
Wordy Words and Phrases / 3：
Words That Can Cause Vagueness / 4：
Latin Words and Abbreviations, and What They Mean / 5：
The Greek Alphabet and Roman Numerals / 6：
SI Units and Their Multiples / 7：
Index
Enjoy Writing Your Science Thesis or Dissertation! / Chapter 1：
What are the Rules?
Thesis and Dissertation Templates
62.
図書
Guo Chun Wen
63.
図書
Po-Fang Hsieh, Yasutaka Sibuya
出版情報:
New York : Springer, c1999 xi, 468 p. ; 25 cm
シリーズ名:
Universitext
子書誌情報:
loading…
所蔵情報:
loading…
64.
図書
by Krishan L. Duggal and Ramesh Sharma
65.
図書
Catherine Sulem, Pierre-Louis Sulem
66.
図書
Gen Komatsu, Masatake Kuranishi, editors
出版情報:
Boston : Birkhäuser, 1999 x, 314 p. ; 24 cm
シリーズ名:
Trends in mathematics
子書誌情報:
loading…
所蔵情報:
loading…
67.
図書
Maury Bramson, Rick Durrett, editors
68.
図書
by Kunio Murasugi and Bohdan I. Kurpita
69.
図書
by N.A. Bobylev, S.V. Emel'yanov and S.K. Korovin ; [translated from the Russian by S.A. Vakhrameev]
目次情報:
続きを見る
Preface
Preliminaries / 1：
Minimization of Nonlinear Functionals / 2：
Homotopic Methods in Variational Problems / 3：
Topological Characteristics of Extremals of Variational Problems / 4：
Applications / 5：
Bibliographical Comments
References
Index
Preface
Preliminaries / 1：
Minimization of Nonlinear Functionals / 2：
70.
図書
by Zdzisław Kamont
71.
図書
Michael W. Frazier
目次情報:
続きを見る
Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
Background: Complex Numbers and Linear Algebra / 1：
Real Numbers and Complex Numbers / 1.1：
Complex Series, Euler's Formula, and the Roots of Unity / 1.2：
Vector Spaces and Bases / 1.3：
Linear Transformations, Matrices, and Change of Basis / 1.4：
Diagonalization of Linear Transformations and Matrices / 1.5：
Inner Products, Orthonormal Bases, and Unitary Matrices / 1.6：
The Discrete Fourier Transform / 2：
Basic Properties of the Discrete Fourier Transform / 2.1：
Translation-Invariant Linear Transformations / 2.2：
The Fast Fourier Transform / 2.3：
Wavelets on $bZ_N$ / 3：
Construction of Wavelets on $bZ_N$: The First Stage / 3.1：
Construction of Wavelets on $bZ_N$: The Iteration Step / 3.2：
Examples and Applications / 3.3：
Wavelets on $bZ$ / 4：
$ ell ^2(bZ)$ / 4.1：
Complete Orthonormal Sets in Hilbert Spaces / 4.2：
$L^2([- pi , pi ))$ and Fourier Series / 4.3：
The Fourier Transform and Convolution on $ ell ^2(bZ)$ / 4.4：
First-Stage Wavelets on $bZ$ / 4.5：
The Iteration Step for Wavelets on $bZ$ / 4.6：
Implementation and Examples / 4.7：
Wavelets on $bR$ / 5：
$L^2(bR)$ and Approximate Identities / 5.1：
The Fourier Transform on $bR$ / 5.2：
Multiresolution Analysis and Wavelets / 5.3：
Construction of Multiresolution Analyses / 5.4：
Wavelets with Compact Support and Their Computation / 5.5：
Wavelets and Differential Equations / 6：
The Condition Number of a Matrix / 6.1：
Finite Difference Methods for Differential Equations / 6.2：
Wavelet-Galerkin Methods for Differential Equations / 6.3：
Bibliography
Index
Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
72.
図書
J.P. May
73.
図書
Onésimo Hernández-Lerma, Jean B. Lasserre
74.
図書
Carel Faber, Eduard Looijenga (eds.)
75.
図書
by Uwe Franz and René Schott
目次情報:
続きを見る
Preface
Introduction / 1：
Preliminaries on Lie groups / 2：
Hopf algebras, quantum groups and braided spaces / 3：
Stochastic Processes on quantum groups / 4：
Markov Structure of quantum Levy Processes / 5：
Diffusions on braided spaces / 6：
Evolution equations and Levy processes on quantum groups / 7：
Gauss Laws in the sense of Bernstein on quantum groups / 8：
Phase retrieval for probability distributions on quantum groups / 9：
Limit theorems on quantum groups / 10：
Bibliography
Index
Preface
Introduction / 1：
Preliminaries on Lie groups / 2：
76.
図書
Serguei A. Stepanov
出版情報:
New York : Kluwer Academic/Plenum Press, c1999 xii, 350 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
77.
図書
edited by Themistocles M. Rassias and Hari M. Srivastava
78.
図書
edited by Estela A. Gavosto, Steven G. Krantz, William McCallum
79.
図書
Carmen Chicone, Yuri Latushkin
目次情報:
続きを見る
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
Characterizations of dichotomy for evolution families
Two applications of evolution semigroups
Linear skew-product flows and Mather evolution semigroups
Characterizations of dichotomy for linear skew-product flows
Evolution operators and exact Lyapunov exponents
Bibliography
List of notations
Index
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
80.
図書
Lajos Pukánszky
目次情報:
続きを見る
Unitary representations of locally algebraic groups
Unitary representations of elementary groups
Existence of characters
Generalized Kirillov theory
Bibliography
Unitary representations of locally algebraic groups
Unitary representations of elementary groups
Existence of characters
81.
図書
Gerald E. Sacks
82.
図書
P.G.L. Dirichlet ; supplements by R. Dedekind ; translated by John Stillwell
目次情報:
続きを見る
On the divisibility of numbers
On the congruence of numbers
On quadratic residues
On quadratic forms Determination of the class number of binary quadratic forms
Some theorems from Gauss's theory of circle division
On the limiting value of an infinite series
A geometric theorem Genera of quadratic forms
Power residues for composite moduli
Primes in arithmetic progressions
Some theorems from the theory of circle division
On the Pell equation Convergence and continuity of some infinite series
Index
On the divisibility of numbers
On the congruence of numbers
On quadratic residues
83.
図書
by Nikolai Leonenko
84.
図書
Rajiv Gupta, Kenneth S. Williams, editors
目次情報:
続きを見る
Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
Integral points on cubic surfaces / F. Beukers
The last exhaustive computation of class groups of complex quadratic number fields / D. A. Buell
Diophantine approximation in projective space / K.-K. Choi ; J. D. Vaaler
Bounds for odd perfect numbers / R. J. Cook
Automorphic $L$-functions in level aspect / W. Duke
The number field sieve on many computers / R.-M. Elkenbracht-Huizing ; P. L. Montgomery ; R. D. Silverman ; R. K. Wackerbarth ; S. S. Wagstaff, Jr
On the order of $a$ (mod $p$) / P. Erdos ; M. R. Murty
A special case of Cohen-Lenstra heuristics in function fields / C. Friesen
An asymptotic expansion of Ramanujan / W. F. Galway
Improving Ramachandra's and Levesque's unit index / C. Greither
On the middle factor of the period polynomial for finite fields / S. Gurak
On the distribution of champs / A. Ivic ; C. Pomerance
Sextic number fields with discriminant $(-1)^j2^a3^b$ / J. W. Jones ; D. P. Roberts
Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(\tau)$ / M. Kaneko
Probleme d'Eisenstein pour le conducteur 3 / P. Kaplan
Liens entre le theoreme de Mason et la conjecture $(abc)$ / M. Langevin
On the trace of Hecke operators for Maass forms / X.-J. Li
An analysis of Shanks's algorithm for computing square roots in finite fields / S. Lindhurst
On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions / M.-C. Liu ; T. Wang
Solutions to $x^2 - Dy^2 = Q$ / S. Louboutin ; R. A. Mollin
Integers represented by ternary quadratic forms / K. Ono ; K. Soundararajan
Some uniformity results following from the Lang conjectures / P. L. Pacelli
Fourier coefficients of cusp forms / Y. N. Petridis
Beer and continued fractions with periodic periods / A. J. van der Poorten
An inequality for polynomials / C. J. Smyth
Some integrals of theta functions in Ramanujan's lost notebook / S. H. Son
Arithmetic of a certain Calabi-Yau threefold / H. A. Verrill
Diophantine approximation in Euclidean spaces / L. Ya. Vulakh
Transcendance et independance algebrique de valeurs de fonctions modulaires / M. Waldschmidt
On the rank of ideal class groups / S. Wong
Conference problems session conducted / J. L. Selfridge ; R. K. Guy Homework! ; P. Ribenboim
Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
85.
図書
Ulrich Mosel
目次情報:
続きを見る
Preliminaries / Part I：
Units and Metric / 1：
Units / 1.1：
Metric and Notation / 1.2：
Fundamentals of Field Theory / Part II：
Classical Fields / 2：
Equations of Motion / 2.1：
Examples / 2.1.1：
Symmetries and Conservation Laws / 2.2：
Geometrical Space-Time Symmetries / 2.2.1：
Internal Symmetries / 2.2.2：
Free Fields and Their Quantization / 3：
Classification of Fields / 3.1：
Scalar Fields / 3.2：
Quantization of the Hermitian Scalar Field / 3.2.1：
Quantization of the Charged Scalar Field / 3.2.2：
Vector Fields / 3.3：
Massive Vector Fields / 3.3.1：
Massless Vector Fields / 3.3.2：
Fermion Fields / 3.4：
Dirac Equation / 3.4.1：
Lagrangian for Fermion Fields / 3.4.2：
Quantization ofthe Dirac Field / 3.4.3：
Massless Fermions / 3.4.4：
Neutrinos / 3.4.5：
Transition Rates in Quantum Field Theory / 3.5：
Quantum Mechanical Consistency / 3.6：
GlobalSymmetries / Part III：
Symmetries of Meson and Baryon Systems / 4：
U(1) Symmetry / 4.1：
Properties of the Group U(1) / 4.1.1：
Structure of the Nucleon Lagrangian / 4.1.2：
SU(2) Symmetry / 4.2：
Properties of the Group SU(2) / 4.2.1：
General Definitions / 4.2.2：
Application to the Pion-Nucleon System / 4.2.3：
Structure of SU(2) Multiplets / 4.2.4：
SU(3) Symmetry / 4.3：
Properties of the Group SU(3) / 4.3.1：
Structure of SU(3) Multiplets / 4.3.2：
Assignments of Hadrons to SU(3) Multiplets / 4.3.3：
SU(3) Symmetry Breaking / 4.3.4：
Quarks / 5：
Construction of SU(3) Multiplets / 5.1：
Construction of the Representation <$>3 \otimes \bar {3}<$> / 5.1.1：
Construction of the Representation 3 ⊗ 3 ⊗ 3 / 5.1.2：
State Vectors for the Multiplets / 5.2：
Tensor Algebra / 5.2.1：
Hadron Multiplets / 5.2.2：
Color Degree of Freedom / 5.3：
Chiral Symmetry / 6：
Phenomenology of β-Decay / 6.1：
Leptonic β-Decay / 6.1.1：
Semileptonic β-Decay / 6.1.2：
Current Conservation in Strong Interactions / 6.2：
Vector Current Conservation / 6.2.1：
Axial Vector Current Conservation / 6.2.2：
Chiral Symmetry Group / 6.3：
Chiral Symmetry Transformations for the Fermions / 6.3.1：
Chiral Symmetry Transformations for the Mesons / 6.3.2：
Spontaneous Global Symmetry Breaking / 7：
Goldstone Theorem / 7.1：
Goldstone Bosons / 7.1.1：
Examples of the Goldstone Mechanism / 7.2：
Spontaneous Breaking of a Global Non-Abelian Symmetry / 7.2.1：
σ-Model / 7.2.2：
Nambu-Jona-Lasinio Model / 7.2.3：
Local Gauge Symmetries / Part IV：
Gauge Field Theories / 8：
Conserved Currents in QED / 8.1：
Local Abelian Gauge Invariance / 8.2：
Non-Abelian Gauge Fields / 8.3：
Lagrangian for Non-Abelian Gauge Field Theories / 8.3.1：
Properties of Non-Abelian Gauge Field Theories / 8.3.2：
Spontaneous Symmetry Breaking in Gauge Field Theories / 9：
Higgs Mechanism / 9.1：
Spontaneous Breaking of a Local Non-Abelian Symmetry / 9.2：
Summary of the Higgs Mechanism / 9.3：
Electroweak Interaction / Part V：
Weak Interactions of Quarks and Leptons / 10：
Phenomenological Introduction / 10.1：
Strangeness Changing Weak Decays / 10.1.1：
Neutral Currents / 10.1.2：
Intermediate Vector Bosons / 10.2：
Fundamentals of a Theory of Weak Interactions / 10.3：
Electroweak Interactions of Leptons / 11：
Leptonic Multiplets and Interactions / 11.1：
Electroweak Currents / 11.1.1：
Lepton Masses / 11.2：
Electroweak Interactions / 11.3：
Generalization to Other Leptons / 11.3.1：
Parameters of the Lagrangian / 11.4：
Charged Current Experiments / 11.4.1：
Neutral Current Experiments / 11.4.2：
Electroweak Interactions of Quarks / 12：
Hadronic Multiplets / 12.1：
Hadron Masses / 12.1.1：
Electroweak Interactions of Quarks and Leptons / 13：
Lagrangian of Electroweak Interactions / 13.1：
Standard Model / 13.2：
CP Invariance of Electroweak Interactions / 14：
Kobayashi-Maskawa Matrix / 14.1：
Unitarity of the KM Matrix / 14.2：
K0 Decay and CP Violation / 14.3：
CP Invariance and the KM Matrix / 14.4：
Strong Interaction / Part VI：
Quantum Chromodynamics / 15：
Gauge Group for Strong Interactions / 15.1：
QCD Lagrangian / 15.2：
Properties of QCD / 15.3：
Scale Invariance / 15.3.1：
Chiral Invariance / 15.3.2：
Antishielding and Confinement / 15.3.3：
Deconfinement Phase Transition / 15.3.4：
Hadron Structure / Part VII：
Bag Models of Hadrons / 16：
Potential Well in the Dirac Theory / 16.1：
The MIT Bag / 16.2：
Fermions in the MIT Bag / 16.2.1：
Gluons in the MIT Bag / 16.2.2：
Hyperfine Structure of Bag States / 16.2.4：
Magnetic Moments of the Nucleon / 16.2.5：
Axial Vector Current / 16.2.6：
Chiral Symmetry in the MIT Bag / 16.2.7：
Soliton Models of Hadrons / 17：
Skyrmion Model / 17.1：
Hybrid Chiral Bag Model / 17.2：
Linear 7-Model / 17.3：
Friedberg-Lee Soliton Bag Model / 17.4：
NJL Soliton Model / 17.5：
Appendices / Part VIII：
Solutions of the Free Dirac Equation / A：
Properties of Free Dirac States / A.1：
Dirac and Majorana Fields / A.2：
Explicit Quark States for Hadrons / B：
Table of Hadron Properties / C：
Bibliography by Subject
References
Index
Preliminaries / Part I：
Units and Metric / 1：
Units / 1.1：
86.
図書
David A. Cox, Sheldon Katz
目次情報:
続きを見る
Introduction
The quintic threefold
Toric geometry Mirror symmetry constructions
Hodge theory and Yukawa couplings
Moduli spaces Gromov-Witten invariants
Quantum cohomology Localization
Quantum differential equations
The mirror theorem Conclusion
Singular varieties
Physical theories
Bibliography
Index
Introduction
The quintic threefold
Toric geometry Mirror symmetry constructions
87.
図書
Peter J. Cameron
目次情報:
続きを見る
General theory / 1：
Representation theory / 2：
Coherent configurations / 3：
The O'Nan-Scott theorem / 4：
Oligomorphic groups / 5：
Miscellanea / 6：
Tables / 7：
General theory / 1：
Representation theory / 2：
Coherent configurations / 3：
88.
図書
edited by Keith M. Ball, Vitali Milman
89.
図書
edited by Silvio Levy
90.
図書
S. Tabachnikov, editor
91.
図書
Ioannis Antoniou and Günter Lumer (editors)
92.
図書
edited by David E. Dobbs, Marco Fontana, Salah-Eddine Kabbaj
93.
図書
Bruno Scarpellini
94.
図書
editors, H. Bass, A.O. Kuku, C. Pedrini
出版情報:
Singapore ; River Edge, N.J. : World Scientific, c1999 xii, 607 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
95.
図書
C.T.C. Wall
目次情報:
続きを見る
Preliminaries: Note on conventions
Basic homotopy notions Surgery below the middle dimension
Appendix: Applications Simple Poincare complexes
The main theorem: Statement of results
An important special case
The even-dimensional case
The odd-dimensional case
The bounded odd-dimensional case
The bounded even-dimensional case
Completion of the proof Patterns of application: Manifold structures on Poincare complexes
Applications to submanifolds Submanifolds: Other techniques
Separating submanifolds Two-sided submanifolds One-sided submanifolds
Calculations and applications: Calculations: Surgery obstruction groups
Calculations: The surgery obstructions
Applications: Free actions on spheres
General remarks An extension of the Atiyah-Singer $G$-signature theorem
Free actions of $S^1$ Fake projective spaces (real) Fake lens spaces
Applications: Free uniform actions on euclidean space
Fake tori Polycyclic groups
Applications to 4-manifolds Postscript: Further ideas and suggestions: Recent work
function space methods Topological manifolds
Poincare embeddings Homotopy and simple homotopy
Further calculations Sullivan's results
Reformulations of the algebra Rational surgery
References
Index
Preliminaries: Note on conventions
Basic homotopy notions Surgery below the middle dimension
Appendix: Applications Simple Poincare complexes
96.
図書
Graham Everest, Thomas Ward
出版情報:
London ; New York ; Tokyo : Springer, c1999 xii, 211 p. ; 24 cm
シリーズ名:
Universitext
子書誌情報:
loading…
所蔵情報:
loading…
97.
図書
Hajime Sato ; translated by Kiki Hudson
目次情報:
続きを見る
Objectives Homeomorphisms and homotopy equivalences
Topological spaces and cell complexes
Fundamental groups and higher homotopy groups
Homology Homology groups of cell complexes
Cohomology Homology of product spaces and the universal coefficient theorem
Fiber bundles and vector bundles
Spectral sequences A view from current mathematics
Appendix
Answers to exercises
Recommended reading
Index
Objectives Homeomorphisms and homotopy equivalences
Topological spaces and cell complexes
Fundamental groups and higher homotopy groups
98.
図書
Jan R. Magnus and Heinz Neudecker
目次情報:
続きを見る
Matrices: Basic Properties of Vectors and Matrices
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse
Miscellaneous Matrix Results
Differentials: The Theory: Mathematical Preliminaries
Differentials and Differentiability
The Second Differential
Static Optimization
Differentials: The Practice: Some Important Differentials
First Order Differentials and Jacobian Matrices
Second Order Differentials and Hessian Matrices
Inequalities: Inequalities
The Linear Model: Statistical Preliminaries
The Linear Regression Model
Further Topics in the Linear Model
Applications to Maximum Likelihood Estimation: Maximum Likelihood Estimation
Simultaneous Equations
Topics in Psychometrics
Matrices: Basic Properties of Vectors and Matrices
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse
Miscellaneous Matrix Results
99.
図書
N.J. Hitchin, G.B. Segal and R.S. Ward
100.
図書
editors of the volume, Bronisław Jakubczyk, Wiesław Pawłucki, Jacek Stasica
図書
