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1.

図書
図書
1. Topology, geometry, and gauge fields : interactions
Gregory L. Naber
出版情報: New York : Springer, c2000  xiii, 443 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; 141
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Preface
Acknowledgements
Geometrical Background
Physical Motivation
Frame Bundles and Spacetime
Differential Forms and Integration Introduction
de Rham Cohomology Introduction
Characteristic Classes
Appendix
References
Symbols
Index
Preface
Acknowledgements
Geometrical Background
2.

図書
図書
2. Methods for solving inverse problems in mathematical physics
Aleksey I. Prilepko, Dmitry G. Orlovsky, Igor A. Vasin
出版情報: New York : Marcel Dekker, c2000  xiii, 709 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 231
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Inverse problems for equations of parabolic type
inverse problems for equations of hyperbolic type
inverse problems for equations of elliptic type
inverse problems in dynamics of viscous incompressible fluid
some topics from functional analysis and operator theory
abstract inverse problems for first order equations and their applications in mathematical physics
two-point inverse problems for first order equations
inverse problems for equations of second order
applications of
Inverse problems for equations of parabolic type
inverse problems for equations of hyperbolic type
inverse problems for equations of elliptic type
3.

図書
図書
3. The geometry of spacetime : an introduction to special and general relativity
James J. Callahan
出版情報: New York : Springer, c2000  xvi, 451 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
Arbitrary frames
Surfaces and curvatures
Intrinsic geometry
General relativity
Consequences
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
4.

図書
図書
4. Knots and physics. 3rd ed.
Louis H. Kauffman
出版情報: Singapore : World Scientific, c2001  xvi, 770 p. ; 23 cm
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Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
A Short Course of Knots and Physics / Part I.：
Physical Knots / 1.：
Diagrams and Moves / 2.：
States and the Bracket Polynomial / 3.：
Alternating Links and Checkerboard Surfaces / 4.：
The Jones Polynomial and its Generalizations / 5.：
An Oriented State Model for V[subscript K](t) / 6.：
Braids and the Jones Polynomial / 7.：
Abstract Tensors and the Yang-Baxter Equation / 8.：
Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)[subscript q] / 9.：
The Form of the Universal R-matrix / 10.：
Yang-Baxter Models for Specializations of the Homfly Polynomial / 11.：
The Alexander Polynomial / 12.：
Knot-Crystals - Classical Knot Theory in a Modern Guise / 13.：
The Kauffman Polynomial / 14.：
Oriented Models and Piecewise Linear Models / 15.：
Three Manifold Invariants from the Jones Polynomial / 16.：
Integral Heuristics and Witten's Invariants / 17.：
Appendix - Solutions to the Yang-Baxter Equation / 18.：
Knots and Physics--Miscellany / Part II.：
Theory of Hitches
The Rubber Band and Twisted Tube
On a Crossing
Slide Equivalence
Unoriented Diagrams and Linking Numbers
The Penrose Chromatic Recursion
The Chromatic Polynomial
The Potts Model and the Dichromatic Polynomial
Preliminaries for Quantum Mechanics, Spin Networks and Angular Momentum
Quaternions, Cayley Numbers and the Belt Trick
The Quaternion Demonstrator
The Penrose Theory of Spin Networks
Q-Spin Networks and the Magic Weave
Knots and Strings - Knotted Strings
DNA and Quantum Field Theory
Knots in Dynamical Systems - The Lorenz Attractor
Coda
References
Index
Appendix
Introduction
Gauss Codes, Quantum Groups and Ribbon Hopf Algebras
Spin Networks, Topology and Discrete Physics
Link Polynomials and a Graphical Calculus / P. Vogel
Knots, Tangles, and Electrical Networks / J. R. Goldman
Knot Theory and Functional Integration
Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
5.

図書
図書
5. Mathematical foundations of classical statistical mechanics : continuous systems. 2nd ed.
D.Ya. Petrina, V.I. Gerasimenko and P.V. Malyshev ; translated from the Russian by P.V. Malyshev and D.V. Malyshev
出版情報: London : Taylor & Francis, 2002  ix, 338 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 8
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Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
Grand Canonical Ensemble
Thermodynamic Limit for Non-equilibrium Systems
Stationary Solutions of the BBGKY Hierarchy of Equations / Appendix 1：
Existence of the Hamiltonian Dynamics of Infinitely Many Particles / Appendix 2：
References
Index
Problem for the BBGKY Hierarchy
Equilibrium States
Canonical Ensemble
6.

図書
図書
6. Progress in analysis : proceedings of the 3rd International ISAAC Congress, Berlin, Germany, 20 - 25 August 2001 (v.1 ; v.2 ; set)
Heinrich G.W. Begehr, Robert Pertsch Gilbert, Man-Wah Wong, editors
出版情報: New Jersey : World Scientific, c2003  2v. ; 26 cm
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7.

図書
図書
7. Green's functions and ordered exponentials (: hardback ; : pbk)
H.M. Fried
出版情報: Cambridge : Cambridge University Press, 2002  xi, 169 p. ; 24 cm
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8.

図書
図書
8. Jean Leray '99 Conference proceedings : the Karlskrona Conference in honor of Jean Leray
edited by Maurice de Gosson
出版情報: Dordrecht : Kluwer Academic, c2003  xii, 561 p. ; 25 cm
シリーズ名: Mathematical physics studies ; 24
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Preface
Introduction
Acknowledgements
Hyperbolic systems and Equations / Part I：
Caractere holonome d'une solution elementaire / L. Boutet de Monvel
Necessary conditions for hyperbolicity of first order systems / A. Bove ; T. Nishitani
On the Cauchy problem for hyperbolic operators with non-regular coefficients / F. Colombini ; D. Del Santo ; T. Kinoshita
Multiple points of the characteristic manifold of a diagonalizable operator / H. Delquie ; J. Vaillant
Large temps de vie des solutions d'un probleme de Cauchy non lineaire / D. Gourdin ; M. Mechab
Une remarque sur un prolongement analytique de la solution du probleme de Cauchy / Y. Hamada
Conormality and lagrangian properties along diffractive rays / P. Laubin
Caracterisation des operateurs differentiels hyperboliques / Y. Ohya
A dependence domain for a class of micro-differential equations with involutive double characteristics / Y. Okada ; N. Tose
Ramification non abelienne / C. Wagschal
Symplectic Mechanics and Geometry / Part II：
Extension du calcul differentiel et application a la theorie des groupes de Lie en dimension infinie / P. Dazord
The cohomological meaning of Maslov's lagrangian path intersection index / M. de Gosson ; S. de Gosson
A Kahler structure on the punctured cotangent bundle of the Cayley projective plane / K. Furutani
On mechanical systems with a Lie group as configuration space / C.-M. Marle
Dirac fields on asymptotically simple space-times / J.-P. Nicolas
An embedding result for some general symbol classes in the Weyl calculus / J. Toft
The lagrangian in symplectic mechanics / G. M. Tuynman
Geometry of solution spaces of spaces of Yang-Mills equations / J. Sniatycki
Sheaves and Spectral Sequences / Part III：
La theorie des residus sur un espace analytique complexe / V. Ancona ; B. Gaveau
Derivation of exact triples and Leray-Koszul spectral sequences / B. Bendiffalah
Elliptic Operators; Index Theory / Part IV：
Le noyau de la chaleur des operateurs sous-elliptiques des groupes d'Heisenberg / R. Beals ; P. Greiner
The geometry of Cauchy data spaces / B. Booss-Bavnbek ; K.-P. Wojciechowski
On the Cauchy problem for Kirchhoff equations of p-laplacian type / K. Kajitani
A remark on surgery in index theory of elliptic operators / V.-E. Nazaikinskii ; B.-Y. Sternin
The [eta] invariant and elliptic operators in subspaces / A. Savin ; B.-W. Schulze ; B. Sternin
Regularisation of mixed boundary problems / A. Shlapunov ; N. Tarkhanov
Mathematical Physics / Part V：
Covariant method for solution of Cauchy's problem based on Lie group analysis and Leray's form / N. Ibragimov
Liouville forms, parallelisms and Cartan connections / P. Libermann
A two-dimensional non-linear shell model of Koiter's type / P.-G. Ciarlet
A model of the process of thinking based on the dynamics of bundles of branches and sets of bundles of p-adic trees / A. Khrennikov
Global wave maps on black holes / Y. Choquet-Bruhat
Entanglement, parataxy, and cosmology / E. Binz ; W. Schempp
Sur le controle des equations de Navier-Stokes / J.-L. Lions
Addresses
Preface
Introduction
Acknowledgements
9.

図書
図書
9. Studies in memory of Issai Schur (: Boston ; : Basel)
Anthony Joseph, Anna Melnikov, Rudolf Rentschler, editors
出版情報: Boston ; Basel : Birkhäuser, c2003  clxxxiii, 365 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 210
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10.

図書
図書
10. Notes on Seiberg-Witten theory
Liviu I. Nicolaescu
出版情報: Providence, R.I. : American Mathematical Society, c2000  xviii, 484 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 28
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Preliminaries
The Seiberg-Witten invariants
Seiberg-Witten equations on complex surfaces
Gluing techniques
Epilogue
Bibliography
Index
Preliminaries
The Seiberg-Witten invariants
Seiberg-Witten equations on complex surfaces
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