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1.

図書

図書
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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目次情報: 続きを見る
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
2.

図書

図書
Jan Cnops
出版情報: Boston : Birkhäuser, c2002  x, 211 p. ; 24 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 24
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Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
3.

図書

図書
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
4.

図書

図書
Roger Moser
出版情報: New Jersey : World Scientific, c2005  viii, 184 p. ; 24 cm
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5.

図書

図書
A. Kneschke
出版情報: Berlin : Verlag Technik, 1960, c1957  540 p. ; 21 cm
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目次情報:
Bd. 1. Gewöhnliche Differentialgleichungen
Bd. 1. Gewöhnliche Differentialgleichungen
6.

図書

図書
by R. Courant and D. Hilbert
出版情報: New York : Interscience Publishers, 1953  xv, 561 p. ; 24 cm
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7.

図書

図書
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
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8.

図書

図書
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
9.

図書

図書
L. Ambrosio, N. Dancer ; edited by G. Buttazzo, A. Marino, M.K.V. Murthy
出版情報: Berlin : Springer, c2000  viii, 347 p. ; 24 cm
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10.

図書

図書
Ivar Stakgold
出版情報: New York : Wiley, c1998  xvii, 689 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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