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1.

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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2.

図書

図書
Jean Piquet
出版情報: Berlin : Springer-Verlag, c1999  x, 761 p. ; 24 cm
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目次情報: 続きを見る
The Equations of Motion / Chapter 1:
Introduction, the Equations / 1:
Some General Properties of Navier-Stokes Equations / 2:
References
Principles of Turbulent Flow Modeling / Chapter 2:
Introduction and Averaging Procedures
The Reynolds-Averaged Mean-Flow Equations
The Closure Problem / 3:
Homogeneous and Inhomogeneous Flows / 4:
The Eddy-Viscosity Concept / 5:
Two-Point Homogeneous Turbulence / Chapter 3:
Introduction
Homogeneous Turbulence ; Correlations and Spectra
The Dynamics of Second-Order Correlations
Theory of Homogeneous Isotropic Turbulence
Rapid Distorsion Theory
Second-Order Turbulence Modeling / Chapter 4:
Reynolds-Stress Modeling
The Transfer Term
Inhomogeneous Flow
Non Linear Ev and Ars Models
Intermittency Modeling
Definition of Turbulence Models / Appendix A:
Turbulent Two-Dimensional Shear Flows / Chapter 5:
Thin Free Shear Layers, Classification
Asymptotics of Wall Shear Layers
Channel and Pipe Flows
Zero-Pressure-Gradient Boundary Layers
Jets / 6:
Wakes / 7:
Complex Effects in Turbulent Flows / Chapter 6:
2D Boundary Layers in Pressure Gradients
Two-Dimensional Turbulent Separation
Classification of Three-Dimensional Flows
Three-Dimensional Turbulent Boundary Layers
Curvature Effects
Rotation Effects
Lateral Straining
Imposition of Sudden Strains / 8:
Roughness Effects / 9:
Freestream Turbulence / 10:
Three-Dimensional Duct Flow / 11:
Geometry Concepts
Subject Index
List of Symbols and Page of First Occurrence
The Equations of Motion / Chapter 1:
Introduction, the Equations / 1:
Some General Properties of Navier-Stokes Equations / 2:
3.

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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4.

図書

図書
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
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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
5.

図書

図書
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
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6.

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:
7.

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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8.

図書

図書
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
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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
9.

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:
10.

図書

図書
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
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