close
1.

図書
図書
1. Partial differential equations : an introduction with Mathematica and MAPLE (: alk. paper)
Ioannis P. Stavroulakis, Stepan A. Tersian
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1999  x, 297 p. ; 23 cm
所蔵情報: loading…
目次情報: 続きを見る
First-order Partial Differential Equations / 1.：
Introduction
Linear First-order Equations / 2.：
The Cauchy Problem for First-order Quasi-linear Equations / 3.：
General Solutions of Quasi-linear Equations / 4.：
Fully-nonlinear First-order Equations / 5.：
Second-order Partial Differential Equations
Linear equations / 6.：
Classification and Canonical Forms of Equations in Two Independent Variables / 7.：
Classification of Almost-linear Equations in R[superscript n] / 8.：
One-Dimensional Wave Equation
The Wave Equation on the Whole Line. D'Alembert Formula / 9.：
The Wave Equation on the Half-line. Reflection Method / 10.：
Mixed Problem for the Wave Equation / 11.：
Inhomogeneous Wave Equation / 12.：
Conservation of the Energy / 13.：
Weak Derivatives and Weak Solutions / 14.：
One-Dimensional Diffusion Equation
Maximum-minimum Principle for the Diffusion Equation / 15.：
The Diffusion Equation on the Whole Line / 16.：
Diffusion on the Half-line / 17.：
Inhomogeneous Diffusion Equation on the Whole Line / 18.：
Shock Waves and Conservation Laws
Conservation laws / 19.：
Burgers' Equation / 20.：
Weak Solutions. Riemann Problem / 21.：
Discontinuous Solutions of Conservation Laws. Rankine-Hugoniot Condition / 22.：
The Laplace Equation
Harmonic functions. Maximum-minimum Principle / 23.：
Green's Identities / 24.：
Green's Functions / 25.：
Green's Functions for a Half-space and Sphere / 26.：
Harnack's Inequalities and Theorems / 27.：
Fourier Series and Fourier Method for PDEs
Fourier Series / 28.：
Orthonormal Systems. General Fourier series / 29.：
Fourier Method for the Diffusion Equation / 30.：
Fourier Method for the Wave Equation / 31.：
Fourier Method for the Laplace Equation / 32.：
Diffusion and Wave Equations in Higher Dimensions
Diffusion Equation in Three Dimensional Space / 33.：
Fourier Method for the Diffusion Equation in Higher Dimensions / 34.：
Kirchoff's Formula for the Wave Equation. Huygens' Principle / 35.：
Fourier Method for the Wave Equation on the Plane. Nodal Sets / 36.：
References
Answers and Hints to Selected Exercises
Index
First-order Partial Differential Equations / 1.：
Introduction
Linear First-order Equations / 2.：
2.

図書
図書
2. 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
所蔵情報: loading…
3.

図書
図書
3. 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
所蔵情報: loading…
4.

図書
図書
4. Discrete integrable geometry and physics (: hc)
edited by Alexander I. Bobenko and Ruedi Seiler
出版情報: New York : Oxford University Press, 1999  xxvii, 370 p. ; 25 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 16
所蔵情報: loading…
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：
5.

図書
図書
5. Stochastic processes and operator calculus on quantum groups
by Uwe Franz and René Schott
出版情報: Dordrecht : Kluwer, c1999  vii, 227 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 490
所蔵情報: loading…
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：
6.

図書
図書
6. Mirror symmetry and algebraic geometry (: pbk)
David A. Cox, Sheldon Katz
出版情報: Providence, R.I. : American Mathematical Society, c1999  xxi, 469 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 68
所蔵情報: loading…
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
7.

図書
図書
7. The Eightfold way : the beauty of Klein's quartic curve
edited by Silvio Levy
出版情報: Cambridge [England] : Cambridge University Press, 1999  x, 331 p., [4] p. of col. plates ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 35
所蔵情報: loading…
8.

図書
図書
8. Advanced engineering mathematics. 8th ed (: hc ; : pbk)
Erwin Kreyszig
出版情報: New York : John Wiley & Sons, c1999  xvi, 1156, 97, 20 p. ; 26-27 cm
所蔵情報: loading…
目次情報: 続きを見る
How to Use this Student Solutions Manual and Study Guide
Ordinary Differential Equations (ODEs) / Part A：
First-Order ODEs / Chapter 1：
Second-Order Linear ODEs / Chapter 2：
Ordinary Differential Equations (Ode's)
First-Order ODE's / Chapter 3：
Higher Order Linear ODEs
Second Order Linear ODE's / Chapter 4：
Systems of ODEs. Phase Plane. Qualitative Methods
Higher Order Linear ODE's
Systems of ODE's Phase Plane, Qualitative Methods / Chapter 5：
Series Solutions of ODEs. Special Functions
Series Solutions of ODE's Special Functions / Chapter 6：
Laplace Transforms
Linear Algebra, Vector Calculus / Part B：
Linear Algebra: Matrices, Vectors, Determinants: Linear Systems / Chapter 7：
Matrices, Vectors, Determinants. Linear Systems / Chapter 8：
Linear Algebra: Matrix Eigenvalue Problems
Vector Differential Calculus: Grad, Div, Curl / Chapter 9：
Vector Integral Calculus: Integral Theorems / Chapter 10：
Vector Differential Calculus. Grad, Div, Curl / Part C：
Fourier Analysis, Partial Differential Equations
Fourier Series, Integrals, and Transforms / Chapter 11：
Vector Integral Calculus. Integral Theorems
Partial Differential Equations (PDE 's) / Chapter 12：
Fourier Analysis. Partial Differential Equations / Chapter 13：
Complex Numbers and Functions
Complex Integration / Chapter 14：
Power Series, Taylor Series / Chapter 15：
Partial Differential Equations (PDEs) / Chapter 16：
Laurent Series: Residue Integration
Conformal Mapping / Part D：
Complex Analysis
Complex Analysis and Potential Theory / Chapter 18：
Numerical Analysis Software / Part E：
Numerics in General / Chapter 19：
Numerical Linear Algebra / Chapter 20：
Numerics for ODE 's and PDE 's / Chapter 21：
Optimization, Graphs / Part F：
Laurent Series. Residue Integration
Unconstrained Optimization: Linear Programming / Chapter 22：
Graphs, Combinatorial Optimization / Chapter 23：
Probability / Part G：
Statistics
Data Analysis / Chapter 24：
Numeric Analysis
Probability Theory
Mathematical Statistics / Chapter 25：
References / Appendix 1：
Numeric Linear Algebra / Appendix 2：
Answers to Odd-Numbered Problems
Auxiliary Material / Appendix 3：
Numerics for ODEs and PDEs
Additional Proofs / Appendix 4：
Tables / Appendix 5：
Index
Unconstrained Optimization. Linear Programming
Graphs and Combinatorial Optimization
Probability, Statistics
Data Analysis. Probability Theory
Photo Credits
How to Use this Student Solutions Manual and Study Guide
Ordinary Differential Equations (ODEs) / Part A：
First-Order ODEs / Chapter 1：
9.

図書
図書
9. Singular quadratic forms in perturbation theory
by Volodymyr Koshmanenko
出版情報: Dordrecht ; Boston : Kluwer, 1999  viii, 308 p.
シリーズ名: Mathematics and its applications ; v. 474
所蔵情報: loading…
目次情報: 続きを見る
Preface to the English Edition
Introduction
Quadratic Forms and Linear Operators / 1：
Singular Quadratic Forms / 2：
Singular Perturbations of Self-Adjoint Operators / 3：
Applications to Quantum Field Theory / 4：
References
Subject Index
Notation
Preface to the English Edition
Introduction
Quadratic Forms and Linear Operators / 1：
10.

図書
図書
10. Quantum symmetries on operator algebras
David E. Evans and Yasuyuki Kawahigashi
出版情報: Oxford : Clarendon Press, 1998  xv, 829 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
所蔵情報: loading…
11.

図書
図書
11. Advances in dual integral equations (: pbk)
B.N. Mandal and Nanigopal Mandal
出版情報: Boca Raton, Fla. : Chapman and Hall/CRC, c1999  226 p. ; 26 cm
シリーズ名: Research notes in mathematics ; 400
所蔵情報: loading…
12.

図書
図書
12. The geometric universe : science, geometry, and the work of Roger Penrose (: hbk)
edited by S.A. Huggett ... [et al.]
出版情報: Oxford : Oxford University Press, 1998  xviii, 431 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Plenary Lectures / I：
Roger Penrose - a personal appreciation / 1：
Hypercomplex manifolds and the space of framings / 2：
Gauge theory in higher dimensions / 3：
Noncommutative differential geometry and the structure of space-time / 4：
Einstein's equation and conformal structure / 5：
Twistors, geometry, and integrable systems / 6：
On four-dimensional Einstein manifolds / 7：
Loss of information in black holes / 8：
Fundamental geometry: the Penrose-Hameroff 'Orchor' model of consciousness / 9：
Implications of transience for spacetime structure / 10：
Geometric issues in quantum gravity / 11：
From quantum code-making to quantum code-breaking / 12：
Penrose tilings and quasicrystals revisited / 13：
Decaying neutrinos and the geometry of the universe / 14：
Quantum geometric origin of all forces in string theory / 15：
Space from the point of view of loop groups / 16：
Parallel / II：
Quantum Theory And Beyond / Session I：
The twistor diagram programme / 17：
Geometric models for quantum statistical inference / 18：
Spin networks and topology / 19：
The physics of spin networks / 20：
Geometry And Gravity / III：
The Sen conjecture for distinct fundamental monopoles / 21：
An unorthodox view of CG via characteristic surfaces / 22：
Amalgamated Codazzi Raychaudhuri identity for foliation / 23：
Abstract virtual reality complexity / 24：
Fundamental Questions In Quantum Mechanics / IV：
Interaction-free measurements / 25：
Quantum measurement problem and the gravitational field / 26：
Entanglement and quantum computation / 27：
Mathematical Aspects Of Twistor Theory / V：
Penrose transform for flag domains / 28：
Twistor solution of the holonomy problem / 29：
The Penrose transform and real integral geometry / 30：
Pythagorean spinors and Penrose twistors / 31：
Afterword / VI：
Plenary Lectures / I：
Roger Penrose - a personal appreciation / 1：
Hypercomplex manifolds and the space of framings / 2：
13.

図書
図書
13. Green's functions and boundary value problems. 2nd ed
Ivar Stakgold
出版情報: New York : Wiley, c1998  xvii, 689 p. ; 25 cm
シリーズ名: Pure and applied mathematics
所蔵情報: loading…
14.

図書
図書
14. Gauge theory and the topology of four-manifolds
Robert Friedman, John W. Morgan, editors
出版情報: Providence, R.I. : American Mathematical Society, c1998  x, 221 p. ; 26 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 4
所蔵情報: loading…
目次情報: 続きを見る
Geometric invariant theory and the moduli of bundles: Geometric invariant theory / D. Gieseker
The numerical criterion
The moduli of stable bundles
References
Anti-self-dual connections and stable vector bundles: Hermitian bundles, Hermitian connections and their curvatures / J. Li
Hermitian-Einstein connections and stable vector bundles
The existence of Hermitian-Einstein metrics
An Introduction to gauge theory: The context of Gauge theory / J. W. Morgan
Principal bundles and connections
Curvature and characteristic classes
The space of connections
The ASD equations and the moduli space
Compactness and gluing theorems
The Donaldson polynomial invariants
The connected sum theorem
Computing Donaldson invariants: Overview / R. J. Stern
-2 spheres and the blowup formula
Simple-type criteria and elliptic surfaces
Elementary rational blowdowns
Taut configurations and Horikowa surfaces
Donaldson-Floer theory: Introduction / C. Taubes ; J. A. Bryan
Quantization
Simplicial decomposition of $\Cal{M}^0_X$
Half-infinite dimensional spaces
Geometric invariant theory and the moduli of bundles: Geometric invariant theory / D. Gieseker
The numerical criterion
The moduli of stable bundles
15.

図書
図書
15. Selected papers of Walter E. Thirring with commentaries
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
所蔵情報: loading…
16.

図書
図書
16. The Riemann legacy : Riemannian ideas in mathematics and physics
by Krzysztof Maurin
出版情報: Dordrecht ; Boston : Kluwer Academic, c1997  xxii, 717 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 417
所蔵情報: loading…
17.

図書
図書
17. Structure of dynamical systems : a symplectic view of physics
J.-M. Souriau ; translated by C.H. Cushman-de Vries ; translation editors, R.H. Cushman, G.M. Tuynman
出版情報: Boston, Mass. : Birkhäuser, c1997  xxxiv, 406 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 149
所蔵情報: loading…
18.

図書
図書
18. Many-particle dynamics and kinetic equations (: alk. paper)
by C. Cercignani, V.I. Gerasimenko, D.Ya. Petrina
出版情報: Dordrecht : Kluwer Academic, c1997  viii, 244 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 420
所蔵情報: loading…
19.

図書
図書
19. Perturbation theory for the Schrödinger operator with a periodic potential
Yulia E. Karpeshina
出版情報: Berlin : Springer-Verlag, c1997  vii, 352 p., ill. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1663
所蔵情報: loading…
20.

図書
図書
20. An introduction to error analysis : the study of uncertainties in physical measurements. 2nd ed (: cloth ; : pbk)
John R. Taylor
出版情報: Sausalito : University Science Books, c1997  xvii, 327 p. ; 26 cm
所蔵情報: loading…
21.

図書
図書
21. Entire solutions of semilinear elliptic equations (: sz ; : us)
I. Kuzin, S. Pohozaev
出版情報: Basel : Birkhäuser, c1997  vi, 250 p. ; 24 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 33
所蔵情報: loading…
22.

図書
図書
22. Integral methods in science and engineering (v. 1 ; v. 2)
C. Constanda, J. Saranen and S. Seikkala (editors)
出版情報: Harlow, Essex : Longman, 1997  2 v. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 374-375
所蔵情報: loading…
23.

図書
図書
23. Introduction to the quantum Yang-Baxter equation and quantum groups : an algebraic approach
by Larry A. Lambe and David E. Radford
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xx, 293 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 423
所蔵情報: loading…
24.

図書
図書
24. Fractals, scaling and growth far from equilibrium (: hbk)
Paul Meakin
出版情報: Cambridge : Cambridge University Press, 1998  xiv, 674 p., [4] p. of plates ; 26 cm
シリーズ名: Cambridge nonlinear science series ; 5
所蔵情報: loading…
目次情報: 続きを見る
Preface
Pattern formation far from equilibrium / 1：
Fractals and scaling / 2：
The basic models / 3：
Experimental studies / 4：
The growth of surfaces and interfaces / 5：
Instabilities / Appendix I：
Multifractals / Appendix II：
Bibliography
Preface
Pattern formation far from equilibrium / 1：
Fractals and scaling / 2：
25.

図書
図書
25. Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations
Charles Li, Stephen Wiggins
出版情報: New York : Springer, 1997  viii, 170 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 128
所蔵情報: loading…
26.

図書
図書
26. The geometry of physics : an introduction (: pbk)
Theodore Frankel
出版情報: Cambridge : Cambridge University Press, 1997  xxii, 654 p. ; 27 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Manifolds, Tensors and Exterior Forms / Part I：
Manifolds and vector fields / 1：
Tensors and exterior forms / 2：
Integration of differential forms / 3：
The Lie derivative / 4：
The Poincaré lemma and potentials / 5：
Holonomic and non-holonomic constraints / 6：
Geometry and Topology / Part II：
R3 and Minkowski space / 7：
The geometry of surfaces in R3 / 8：
Covariant differentiation and curvature / 9：
Geodesics / 10：
Relativity, tensors, and curvature / 11：
Curvature and topology: Synge's theorem / 12：
Betti numbers and de Rham's theorem / 13：
Harmonic forms / 14：
Lie Groups, Bundles and Chern Forms / Part III：
Lie groups / 15：
Vector bundles in geometry and physics / 16：
Fiber bundles, Gauss-Bonnet, and topological quantization / 17：
Connections and associated bundles / 18：
The Dirac equation / 19：
Yang-Mills fields / 20：
Betti numbers and covering spaces / 21：
Chern forms and homotopy groups / 22：
Forms in continuum mechanics / Appendix A：
Harmonic chains and Kirchhoff's circuit laws / Appendix B：
Symmetries, quarks, and meson masses / Appendix C：
Representations and hyperelastic bodies / Appendix D：
Orbits and Morse-Bott theory in compact Lie groups / Appendix E：
Preface
Manifolds, Tensors and Exterior Forms / Part I：
Manifolds and vector fields / 1：
27.

図書
図書
27. Lectures on representation theory and Knizhnik-Zamolodchikov equations
Pavel I. Etingof, Igor B. Frenkel, Alexander A. Kirillov, Jr
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiv, 198 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; v. 58
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Representations of finite-dimensional and affine
Lie algebras Knizhnik-Zamolodchikov equations
Solutions of the Knizhnik-Zamolodchikov equations
Free field realization Quantum groups
Local systems and configuration spaces
Monodromy of the Knizhnik-Zamolodchikov equations
Quantum affine algebras
Quantum Knizhnik-Zamolodchikov equations
Solutions of the quantum Knizhnik-Zamolodchikov equations for $\mathfrak {sl}_2$
Connection matrices for the quantum
Knizhnik-Zamolodchikov equations and elliptic functions
Current developments and future perspectives
References
Index
Introduction
Representations of finite-dimensional and affine
Lie algebras Knizhnik-Zamolodchikov equations
28.

図書
図書
28. Algebraic integrability of nonlinear dynamical systems on manifolds : classical and quantum aspects
by Anatoliy K. Prykarpatsky and Ihor V. Mykytiuk
出版情報: Dordrecht : Kluwer Academic Press, c1998  553 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 443
所蔵情報: loading…
目次情報: 続きを見る
Preface
Background Notations
Dynamical systems with homogeneous configuration spaces / 1：
Dynamical systems with symmetries
Poisson structures / 1.1：
Lie group actions on manifolds / 1.2：
Symplectic structures on coadjoint representation orbits / 1.3：
Hamiltonian group actions / 1.4：
Invariant Hamiltonian systems with homogeneous configuration spaces / 1.5：
The existence of a maximal involutive set of functions on the orbits of semi-simple elements of a semi-simple Lie algebra / 2：
The algebra of invariant polynomials on a semi-simple Lie algebra / 2.1：
Semi-simple element orbits / 2.2：
Maximal involutive sets of functions on semi-simple elements orbits / 2.3：
The integrability criterion and spherical pairs of Lie groups / 3：
Criterion of integrability / 3.1：
Spherical pairs of complex Lie groups / 3.2：
Interpolation property of spherical pairs of compact Lie groups / 4：
Properties of spherical pairs of compact Lie algebras / 4.1：
Points in general position / 4.2：
Spherical pairs of classical simple Lie groups / 5：
Preliminary remarks / 5.1：
Involutions of simple Lie algebras / 5.2：
Spherical pairs of classical Lie algebras / 5.3：
Classification of spherical pairs of the exceptional simple Lie algebras / 6：
Classification of spherical pairs of semi-simple Lie groups / 7：
Spherical pairs of semi-simple Lie algebras / 7.1：
Geometric quantization and integrable dynamical systems
Connections on line bundles
Line bundles
Equivalence classes of line bundles
Connections
The integrality condition
Hermitian structures
Equivalence classes of line bundles with connections / 1.6：
Holomorphic line bundles / 1.7：
Derivations / 1.8：
Tensor products, square roots and invariant Hermitian structures / 1.9：
Parallel transport on a line bundle with a connection / 1.10：
Parallel transport and derivations / 1.11：
Flat partial connections
Flat F-connections
Maps of line bundles
Line bundles of differential forms
Geometric quantization
Polarizations
Geometric quantization and reduction
Introduction
Hamiltonian reduction
Quantization / 4.3：
Examples: geometric quantization of the oscillator type Hamiltonian systems
Geometric quantization of the generalized n-dimensional harmonic oscillator
Geometric quantization of geodesic flow on a sphere
Geometric quantization of the multidimensional Kepler problem
Geometric quantization of the MIC-Kepler problem / 5.4：
Structures on manifolds and algebraic integrability of dynamical systems
Poisson structures and dynamical systems with symmetries
Preliminary notes
Poisson structures on manifolds
Casimir functions and involution
Casimir functions associated with classical expansions of semi-simple Lie algebras
Alder-Kostant-Symes and Mishchenko-Fomenko theorems
The reduction method and Poisson structures on dual spaces of semi-direct sums of Lie algebras
The mapping canonicity of symplectic structures
Momentum mapping
Poisson structures on dual spaces of semi-direct sums of Lie algebras
Canonical mappings / 2.4：
Nonlinear Neumann type dynamical systems as integrable flows on coadjoint orbits of Lie groups
The Neumann problem
The Lie-Poisson bracket associated with the ad-semidirect sum of Lie algebras
The canonical symplectic structure on T(S[superscript n-1]) and its diffeomorphisms / 3.3：
An involutive system of integrals for the Neumann dynamical system on the sphere S[superscript n-1] / 3.4：
Generalized Neumann-Bogoliubov dynamical systems / 3.5：
Abelian integrals, integrable dynamical systems, and their Lax type representations
The Neumann-Rosochatius-Bogoliubov Hamiltonian system
Conservation laws
Lax type representation
Dual momentum mappings and their applications
Preliminaries
Dualities
The Neumann-Rosochatius system
The Lie algebraic setting of Benney-Kaup dynamical systems and associated via Moser Neumann-Bogoliubov oscillatory flows
The Novikov-Lax finite-dimensional invariant reductions on nonlocal submanifolds / 6.1：
The Moser map and its associated dual moment maps into loop Lie algebras / 6.3：
The finite-dimensional Moser type of reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps
The Moser type of finite-dimensional reduction of a Boussinesq hydrodynamic system and its Lie-algebraic integrability / 7.2：
The Neumann type of oscillatory super-Hamiltonian systems on the sphere S[superscript N] and their Lie algebraic super-integrability / 7.3：
Lax-type of flows on Grassmann manifolds and dual momentum mappings / 8：
Symplectic structures on loop Grassmann manifolds / 8.1：
An intrinsic loop Grassmannian structure and dual momentum mappings / 8.3：
On the geometric structure of integrable flows in Grassmann manifolds / 9：
Centrally extended symplectic structures and integrable flows on the loop Grassmann manifolds / 9.1：
Algebraic methods of quantum statistical mechanics and their applications
Current algebra representation formalism in nonrelativistic quantum mechanics
The current algebra in nonrelativistic quantum mechanics
Current algebra representations
Bogoliubov-Araki generating functional
Lie current algebra, Hamiltonian operator, and Bogoliubov functional equations
Hamiltonian operator
Gibbs states and the Kubo-Martin-Schwinger conditions
Stable states and the KMS condition
Functional-operator representations of the current Lie algebra
The Bogoliubov-Bloch functional equation / 2.5：
The reconstruction via Araki of the Hamiltonian operator and the Bogoluibov functional equation / 2.6：
Functional-operator solutions of the Bogoliubov functional equations / 2.7：
A generalized Virasoro algebra / 2.8：
The secondary quantization method and the spectrum of quantum excitations of a nonlinear Schrodinger type dynamical system
Preliminary notions
The second quantization representation
A generalized nonlinear Schrodinger type quantum dynamical system
The quantum inverse spectral transform method
The scattering operator
Eigenvalue states of the nonlinear Schrodinger type model / 3.6：
Quantum excitations of a bose gas with a positive momentum / 3.7：
Unitary representations of the generalized Virasoro algebra
Verma modules over the generalized Virasoro current algebra
Unitary irreducible modules with highest weight
Algebraic and differential geometric aspects of the integrability of nonlinear dynamical systems on infinite-dimensional functional manifolds
The current Lie algebra on S[superscript 1] and its functional representations
Basic notations
Associated cohomology complexes and their properties
Differential geometry analysis on real jet manifolds
Differential geometry analysis on jet supermanifolds
Euler variational derivative, external differential and tensors on infinite-dimensional functional spaces
Implectic operators and Poisson structures
Dynamical systems and bi-Hamiltonicity
The equivalence of dynamical systems as the Backlund transformation
The current Lie algebra on a cycle as a symmetry subalgebra of compatibly bi-Hamiltonian nonlinear dynamical systems on an axis
The Hamiltonicity of nonlinear dynamical systems on infinite-dimensional functional manifolds
A Lie-algebraic algorithm for investigating integrability
The gradient holonomic algorithm and Lax type representation
An adjoint Lax type equation and conservation laws
Lax type representation: differential algebraic approach
Lax type representation: geometric approach
Lagrangian and Hamiltonian formalisms for reduced infinite-dimensional dynamical systems with symmetries
General setting
Lagrangian reduction
Symplectic analysis and Hamiltonian fields
Discrete dynamical systems. One generalization
Non-isospectrally integrable dynamical systems: the generalized asymptotic structure of conservation laws
A nonstandard reduction problem
Lagrangian and Hamiltonian analysis of dynamical systems on functional manifolds. The Poisson-Dirac bracket / 3.8：
Conclusions / 3.9：
The algebraic structure of the gradient-holonomic algorithm for Lax type integrable nonlinear dynamical systems
Algebraic structure of the Lax type integrable dynamical system
The periodic problem and canonical variational relationships
The spectral gradient structure of Lax integrable many-dimensional nonlinear dynamical systems on operator manifolds / 4.4：
The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra
An effective Maurer-Cartan one-form construction
General structure of integrable one-forms augmenting the two-forms associated with a closed ideal in the Grassmann algebra
Cartan's invariant geometric object structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems in partial derivatives
A loop algebra and the Yang-Baxter structure / 5.5：
The transfer matrix properties / 5.6：
The algebraic structure of the gradient-holonomic algorithm for the Lax-type nonlinear dynamical systems: the reduction via Dirac and the canonical quantization procedure
The generalized R-structure hierarchy
The Dirac quantization procedure for Moser induced finite-dimensional Neumann type Hamiltonian systems
The scalar and operator integrable Hamiltonian systems via the algebraic gradient-holonomic algorithm / 6.4：
Concluding remarks / 6.5：
Hamiltonian structures of hydrodynamical Benny type dynamical systems and their associated Boltzmann-Vlasov kinetic equations on an axis
The Boltzmann equation and an associated moment problem
A nonlinear completely integrable Schrodinger type dynamical system approximation
The complete integrability of a Benney type hydrodynamical system associated with a Boltzmann-Vlasov equation / 7.4：
Conclusion / 7.5：
Appendix
Basic definitions, examples / .1：
The tangent Lie algebra / .2：
Lie subgroups / .3：
Lie algebras / .4：
Cartan subalgebras / .5：
Semi-simple complex Lie algebras / .6：
References
Preface
Background Notations
Dynamical systems with homogeneous configuration spaces / 1：
29.

図書
図書
29. Factorizable sheaves and quantum groups
Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
出版情報: Berlin ; New York : Springer, c1998  x, 287 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1691
所蔵情報: loading…
30.

図書
図書
30. The mathematical theory of thermodynamic limits : Thomas-Fermi type models
Isabelle Catto, Claude Le Bris, Pierre-Louis Lions
出版情報: Oxford ; New York : Clarendon Press, 1998  xiii, 277 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
所蔵情報: loading…
目次情報: 続きを見る
Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
Convergence of the energy for the Thomas-Fermi-von-Weizsacker model / 3：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential / 4：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model / 5：
Convergence of the energy via the convergence of the density / 6：
Bibliography
Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
31.

図書
図書
31. Vertex algebras for beginners. 2nd ed
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1998  vi, 201 p. ; 26 cm
シリーズ名: University lecture series ; v. 10
所蔵情報: loading…
32.

図書
図書
32. The theory of Finslerian Laplacians and applications
edited by Peter L. Antonelli and Bradley C. Lackey
出版情報: Dordrecht ; Boston : Kluwer, c1998  xxx, 282 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 459
所蔵情報: loading…
33.

図書
図書
33. Coherent transform, quantization, and Poisson geometry
M. V. Karasev, editor
出版情報: Providence, R.I. : American Mathematical Society, c1998  x, 360 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 187 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 40
所蔵情報: loading…
34.

図書
図書
34. Minimax and monotonicity
Stephen Simons
出版情報: Berlin : Springer, c1998  xi, 172 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1693
所蔵情報: loading…
35.

図書
図書
35. Determinants and their applications in mathematical physics
Robert Vein, Paul Dale
出版情報: New York : Springer, c1999  xiv, 376 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 134
所蔵情報: loading…
目次情報: 続きを見る
Preface
Determinants , first minors and cofactors / Chapter 1：
A summary of basic determinant theory / Chapter 2：
Intermediate determinant theory / Chapter 3：
Particular determinants / Chapter 4：
Further determinant theory / Chapter 5：
Applications of determinants in mathematical physics / Chapter 6：
Appendix
Bibliography
Index
Preface
Determinants , first minors and cofactors / Chapter 1：
A summary of basic determinant theory / Chapter 2：
36.

図書
図書
36. Mathematical topics between classical and quantum mechanics
N.P. Landsman
出版情報: New York : Springer, c1998  xix, 529 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
所蔵情報: loading…
37.

図書
図書
37. Symmetries and conservation laws for differential equations of mathematical physics
A.V. Bocharov ... [et al.] ; I.S. Krasilʹshchik, A.M. Vinogradov (editor) ; [translated from the Russian by A.M. Verbovetsky and I.S. Krasilʹshchik]
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiv, 333 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 182
所蔵情報: loading…
目次情報: 続きを見る
Ordinary differential equations
First-order equations
The theory of classical symmetries
Higher symmetries
Conservation laws
Nonlocal symmetries
From symmetries of partial differential equations towards secondary ("quantized") calculus
Bibliography
Index
Ordinary differential equations
First-order equations
The theory of classical symmetries
38.

図書
図書
38. Fundamentals of Finslerian diffusion with applications
by P.L. Antonelli and T.J. Zastawniak
出版情報: Dordrecht : Kluwer Academic, c1999  vii, 205 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 101
所蔵情報: loading…
39.

図書
図書
39. Random evolutions and their applications
by Anatoly Swishchuk
出版情報: Dordrecht ; Boston : Kluwer, c1997  xvi, 199 p. ; 25 cm
シリーズ名: Mathematics and its applications ; 408
所蔵情報: loading…
40.

図書
図書
40. Perfect form : variational principles, methods, and applications in elementary physics (: pbk)
Don S. Lemons
出版情報: Princeton, NJ : Princeton University Press, c1997  xi, 117 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Least Time / Ch. 1：
Calculus of Variations / Ch. 2：
Curved Light / Ch. 3：
Least Potential Energy / Ch. 4：
Least Action / Ch. 5：
Hamilton's Principle - Restricted / Ch. 6：
Hamilton's Principle - Extended / Ch. 7：
Index
Preface
Least Time / Ch. 1：
Calculus of Variations / Ch. 2：
41.

図書
図書
41. Analysis of spherical symmetries in Euclidean spaces
Claus Müller
出版情報: New York : Springer, c1998  viii, 223 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 129
所蔵情報: loading…
42.

図書
図書
42. Linear and nonlinear perturbations of the operator div
V.G. Osmolovskiĭ ; [translated from the Russian by Tamara Rozhkovskaya]
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiii, 104 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 160
所蔵情報: loading…
目次情報: 続きを見る
Notation Linear perturbations of the operator div
Nonlinear perturbations of the operator div
Appendix
References
Notation Linear perturbations of the operator div
Nonlinear perturbations of the operator div
Appendix
43.

図書
図書
43. Evolution equations and Lagrangian coordinates
by A.M. Meirmanov, V.V. Pukhnachov, S.I. Shmarev
出版情報: Berlin ; New York : Walter de Gruyter & Company, 1997  xiii, 311 p. ; 25 cm
シリーズ名: De Gruyter expositions in mathematics ; 24
所蔵情報: loading…
44.

図書
図書
44. Gauge theory and symplectic geometry
edited by Jacques Hurtubise and François Lalonde ; technical editor, Gert Sabidussi
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xvii, 212 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 488
所蔵情報: loading…
45.

図書
図書
45. Quantum chaos and mesoscopic systems : mathematical methods in the quantum signatures of chaos
by Norman E. Hurt
出版情報: Dordrecht : Kluwer Academic, c1997  xv, 331 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 397
所蔵情報: loading…
46.

図書
図書
46. Differential equations, asymptotic analysis, and mathematical physics
edited by Michael Demuth, Bert-Wolfgang Schulze
出版情報: Berlin : Akademie Verlag, c1997  424 p. ; 25 cm
シリーズ名: Mathematical research = Mathematische Forschung ; v. 100
所蔵情報: loading…
47.

図書
図書
47. Topology, geometry, and gauge fields : foundations
Gregory L. Naber
出版情報: New York : Springer, c1997  xviii, 396 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 25
所蔵情報: loading…
48.

図書
図書
48. Idempotent analysis and its applications
by Vassili N. Kolokoltsov and Victor P. Maslov
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xii, 305 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 401
所蔵情報: loading…
目次情報: 続きを見る
Preface
Idempotent Analysis / 1：
Analysis of Operators on Idempotent Semimodules / 2：
Generalized Solutions of Bellman's Differential Equation / 3：
Quantization of the Bellman Equation and Multiplicative Asymptotics / 4：
References
Appendix : Maslov Optimziation Theory / P. Del Moral
Optimality versus Randomness
Index
Preface
Idempotent Analysis / 1：
Analysis of Operators on Idempotent Semimodules / 2：
49.

図書
図書
49. A mathematical introduction to string theory : variational problems, geometric and probabilistic methods (: pbk)
Sergio Albeverio ... [et al.]
出版情報: Cambridge ; New York : Cambridge University Press, 1997  viii, 135 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 225
所蔵情報: loading…
50.

図書
図書
50. Vertex algebras for beginners
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1997  viii, 141 p. ; 25 cm
シリーズ名: University lecture series ; v. 10
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼