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1.

図書
図書
1. Introduction to the theory of representations of finitely presented *-algebras. I. representations by bounded operators
V.Ostrovskyi, Yu. Samoilenko
出版情報: Amsterdam : Harwood Academic Pub., c1999  iii, 261 p. ; 22 cm
シリーズ名: Reviews in mathematics and mathematical physics ; v. 11, pt. 1
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2.

図書
図書
2. Low dimensional topology
edited by Károly Böröczky, Jr., Walter Neumann, András Stipsicz
出版情報: Budapest : János Bolyai Mathematical Society, 1999  413 p. ; 25 cm
シリーズ名: Bolyai Society mathematical studies ; 8
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3.

図書
図書
3. Nielsen theory and Reidemeister torsion
editor of the volume, Jerzy Jezierski
出版情報: Warszawa : Institute of Mathematics, Polish Academy of Science, 1999  268 p. ; 24 cm
シリーズ名: Banach Center publications ; v. 49
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4.

図書
図書
4. Several complex variables (: hbk)
edited by Michael Schneider, Yum-Tong Siu
出版情報: Cambridge : Cambridge University Press, c1999  xii, 564 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 37
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5.

図書
図書
5. Handbook of complex variables
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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6.

図書
図書
6. Advances in numerical mathematics; proceedings of the Fourth Japan-China Joint Seminar on Numerical Mathematics
edited by H. Kawarada, M. Nakamura and Z. Shi
出版情報: Tokyo : Gakkōtosho, c1999  292 p. ; 27 cm
シリーズ名: GAKUTO international series ; . Mathematical sciences and applications ; vol. 12
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7.

図書
図書
7. International workshop on symmetry and perturbation theory (SPT-98), Rome 16-22 December 1998
editors, A. Degasperis and G. Gaeta
出版情報: Singapore : World Scientific, c1999  xi, 321 p ; 23 cm
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8.

図書
図書
8. Aspects topologiques de la physique en basse dimension : Les Houches, session LXIX, 7-31 July 1998 = Topological aspects of low dimensional systems (: Springer ; : EDP sciences)
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
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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
9.

図書
図書
9. An introduction to homogenization
Doina Cioranescu and Patrizia Donato
出版情報: New York : Oxford University Press, 1999  ix, 262 p. ; 25 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 17
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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：
10.

図書
図書
10. Northern California symplectic geometry seminar
Ya. Eliashberg ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  x, 258 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 196 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 45
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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
11.

図書
図書
11. Lectures on probability theory and statistics : École d'été de probabilités de Saint-Flour XXVII--1997
J. Bertoin, F. Martinelli, Y. Peres ; editor, Pierre Bernard
出版情報: Berlin ; Tokyo : Springer, c1999  ix, 289 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1717
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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：
12.

図書
図書
12. Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
Andreas Eberle
出版情報: Berlin ; Tokyo : Springer, c1999  viii, 262 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1718
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13.

図書
図書
13. Periodic solutions of the N-body problem
Kenneth R. Meyer
出版情報: Berlin ; Tokyo : Springer, c1999  ix, 144 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1719
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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：
14.

図書
図書
14. Mathematics inspired by biology : lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 13-20, 1997
O. Diekmann ... [et al.] ; editors, V. Capasso, O. Diekmann
出版情報: Berlin ; Tokyo : Springer, c1999  268 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1714 . Fondazione C.I.M.E. Firenze / adviser, Roberto Conti
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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.
15.

図書
図書
15. Oriented matroids. 2nd ed (: pbk)
Anders Björner ... [et al.]
出版情報: Cambridge : Cambridge University Press, 1999  xii, 548 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 46
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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：
16.

図書
図書
16. On the geometry of diffusion operators and stochastic flows
K.D. Elworthy, Y. Le Jan, Xue-Mei Li
出版情報: Berlin ; Tokyo : Springer, c1999  118 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1720
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17.

図書
図書
17. The Arnoldfest : proceedings of a conference in honour of V.I. Arnold for his sixtieth birthday
Edward Bierstone ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xvii, 555 p. ; 27 cm.
シリーズ名: Fields Institute communications ; 24
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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
18.

図書
図書
18. Advances in multivariate approximation : proceedings of the 3rd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 27-October 2, 1998
edited by Werner Hauβmann, Kurt Jetter, Manfred Reimer
出版情報: Berlin : Wiley-VCH, c1999  334 p. ; 25 cm
シリーズ名: Mathematical research ; v. 107
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19.

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図書
19. Elemental methods in ergodic Ramsey theory
Randall McCutcheon
出版情報: Berlin ; Tokyo : Springer, c1999  160 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1722
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図書
20. Representations of fundamental groups of algebraic varieties
Kang Zuo
出版情報: Berlin ; Tokyo : Springer, c1999  viii, 135 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1708
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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：
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図書
21. Power sums, Gorenstein algebras, and determinantal loci
Anthony Iarrobino, Vassil Kanev
出版情報: Berlin : Springer, c1999  xxxi, 345 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1721
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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：
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22. Pseudoperiodic topology
Vladimir Arnold, Maxim Kontsevich, Anton Zorich, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xii, 178 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 197 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 46
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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
23.

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23. Harmonic analysis and partial differential equations : essays in honor of Alberto P. Calderón (: cloth ; : pbk)
edited by Michael Christ, Carlos E. Kenig, and Cora Sadosky
出版情報: Chicago, Ill. : University of Chicago Press, 1999  xv, 355 p. ; 24 cm
シリーズ名: Chicago lectures in mathematics
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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：
24.

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24. Mathematical methods for economic theory (1 ; 2)
James C. Moore
出版情報: Berlin ; Tokyo : Springer, c1999  2 v. ; 24 cm
シリーズ名: Studies in economic theory ; 9-10
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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
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25. Diffraction by an immersed elastic wedge
Jean-Pierre Croisille, Gilles Lebeau
出版情報: Berlin : Springer, c1999  vi, 134 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1723
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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：
26.

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26. Foundations of fluid mechanics with applications : problem solving using Mathematica (: us ; : sz)
Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
出版情報: Boston : Birkhäuser, c1999  xiv, 575 p. ; 25 cm
シリーズ名: Modeling and simulation in science, engineering & technology
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図書
27. Introduction to mathematical finance : American Mathematical Society short course, January 6-7, 1997, San Diego, California
David C. Heath, Glen Swindle, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  ix, 167 p. ; 27 cm
シリーズ名: Proceedings of symposia in applied mathematics ; v. 57 . AMS short course lecture notes
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28. Recent developments in complex analysis and computer algebra
edited by Robert P. Gilbert, Joji Kajiwara and Yongzhi S. Xu
出版情報: Dordrecht ; London : Kluwer Academic, c1999  vii, 384 p. ; 25 cm
シリーズ名: International Society for Analysis, Applications, and Computation ; v. 4
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29. Nonlinear theory of generalized functions : proceedings of the workshop Nonlinear Theory of Nonlinear Functions : Erwin-Schrödinger-Institute, Vienna, October-December 1997 (: pbk)
Michael Grosser ... [et al.] (editors)
出版情報: Boca Raton : Chapman & Hall/CRC, c1999  383 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 401
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30.

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30. Combinatorial designs and their applications (: pbk)
Fred C. Holroyd ... [et al.] (editors)
出版情報: Boca Raton : Chapman & Hall/CRC, c1999  vii, 152 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 403
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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
31.

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31. Covers and envelopes in the category of complexes of modules (: pbk)
J. R. García Rozas
出版情報: Boca Raton : Chapman & Hall/CRC Press, c1999  137 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 407
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32. Symplectic geometry and topology (: pbk)
Yakov Eliashberg, Lisa Traynor, editors
出版情報: Providence, R.I. : American Mathematical Society , [Princeton] : Institute for Advanced Study, c1999  xiv, 430 p. ; 27 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 7
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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
33.

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33. The theory of anisotropic elastic plates
by Tamaz S. Vashakmadze
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic, c1999  xv, 240 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 476
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34. Applications of Lie algebras to hyperbolic and stochastic differential equations (: hb : alk. paper)
by Constantin Vârsan
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1999  x, 238 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 466
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35. Algebra and geometry : proceedings of the International Conference of Algebra and Geometry, National Taiwan University, December 26-30, 1995
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
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36.

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36. Singularity theory : proceedings of the European Singularities Conference, Liverpool, August 1996, dedicated to C.T.C. Wall on the occasion of his 60th birthday
edited by Bill Bruce, David Mond
出版情報: Cambridge : Cambridge University Press, 1999  xxiv, 440 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 263
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図書
37. Feynman integral and random dynamics in quantum physics : a probabilistic approach to quantum dynamics
by Zbigniew Haba
出版情報: Dordrecht : Kluwer Academic Publishers, c1999  xx, 364 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 480
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図書
38. Differentialgeometrie
bearbeitet und kommentiert von André Weil und Martin Mattmüller
出版情報: Basel ; Boston : Birkhäuser, 1999  xxv, 445 p. ; 27 cm
シリーズ名: Die gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli / herausgegeben von der Naturforschenden Gesellschaft in Basel ; . { Die Werke / von Jakob Bernoulli ; im Auftrag der Naturforschenden Gesellschaft in Basel und der Otto Spiess-Stiftung ; ediert von David Speiser } ; Bd. 5
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39.

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39. Spatio-Temporal fields (: set ; : hd)
by Vladimir Fomin
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1999  xii, 359 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 481 . Optimal filtering / by Vladimir Fomin ; vol. 2
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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：
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40. Algebraic number theory
Richard A. Mollin
出版情報: Boca Raton, Fla : Chapman & Hall/CRC, c1999  xiv, 483 p. ; 24 cm
シリーズ名: Discrete mathematics and its applications / Kenneth H. Rosen, series editor
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41. Distributive modules and related topics
Askar Tuganbaev
出版情報: Australia : Gordon & Breach, c1999  xv, 258 p. ; 24cm
シリーズ名: Algebra, logic and applications series ; v. 12
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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.

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図書
42. Proceedings of the International Colloquium on Lie Groups and Ergodic Theory, Mumbai 1996
edited by S.G. Dani
出版情報: New Delhi : Narosa , [Providence, R.I.] : International distribution by American Mathematical Society, c1998  386 p. ; 24 cm
シリーズ名: Tata Institute of Fundamental Research studies in mathematics ; 14
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43.

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43. Automorphic forms, automorphic representations, and arithmetic : NSF-CBMS Regional Conference in Mathematics on Euler Products and Eisenstein Series, May 20-24, 1996, Texas Christian University (: set ; pt. 1 ; pt. 2)
Robert S. Doran, Ze-Li Dou, George T. Gilbert, editors
出版情報: Providence, R.I. : American Mathematical Society, 1999  2 v. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 66
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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
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44. Functional differential equations : application of i-smooth calculus
by A.V. Kim
出版情報: Dordrecht ; Boston : Kluwer Academic, c1999  xv, 165 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 479
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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
図書
45. Riemann, topology, and physics. 2nd ed (: us : alk. paper ; : sz : alk. paper)
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
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46.

図書
図書
46. Frobenius manifolds, quantum cohomology, and moduli spaces
Yuri I. Manin
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiii, 303 p. ; 27 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 47
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47.

図書
図書
47. Computational methods for representations of groups and algebras : Euroconference in Essen (Germany), April 1-5, 1997 (: us ; : sz)
P. Dräxler, G.O. Michler, C.M. Ringel, editors
出版情報: Basel : Birkhäuser, c1999  xiv, 357 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 173
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48.

図書
図書
48. Analysis and modelling of discrete dynamical systems
edited by Daniel Benest and Claude Froeschlé
出版情報: Amsterdam : Gordon & Breach, c1998  X , 319 p. ; 24 cm
シリーズ名: Advances in Discrete Mathematics and Applications ; 1
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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
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
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50.

図書
図書
50. Euler : the master of us all
William Dunham
出版情報: [Washington, D.C.] : Mathematical Association of America, c1999  xxviii, 185 p. ; 23 cm
シリーズ名: The Dolciani mathematical expositions ; no. 22
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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：
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