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1.

図書

図書
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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2.

図書

図書
Michael Monastyrsky ; with a foreword by Freeman J. Dyson ; translated by Roger Cooke, James King, Victoria King
出版情報: Boston : Birkhäuser, c1999  xiii, 215 p. ; 25 cm
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3.

図書

図書
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
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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:
4.

図書

図書
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
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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:
5.

図書

図書
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
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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
6.

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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7.

図書

図書
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
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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:
8.

図書

図書
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
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9.

図書

図書
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
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10.

図書

図書
edited by S.A. Huggett ... [et al.]
出版情報: Oxford : Oxford University Press, 1998  xviii, 431 p. ; 24 cm
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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:
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