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1.

図書

図書
Frédéric Hélein
出版情報: Cambridge : Cambridge University Press, 2002  xxv, 264 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 150
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2.

図書

図書
Yasumasa Nishiura ; translated by Kunimochi Sakamoto
出版情報: Providence, R.I. : American Mathematical Society, c2002  xx, 311 p. ; 22 cm
シリーズ名: Translations of mathematical monographs ; v. 209
Iwanami series in modern mathematics
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目次情報: 続きを見る
Separation and unification of scales
Amplitude equations
Marginal stability criterion and pattern selection
Pattern formation
Method of singular limit analysis
Transient dynamics
Future perspectives
Bibliography
Index
Separation and unification of scales
Amplitude equations
Marginal stability criterion and pattern selection
3.

図書

図書
Claus Hertling
出版情報: Cambridge : Cambridge University Press, 2002  ix, 270 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 151
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目次情報: 続きを見る
Multiplication on the Tangent Bundle / Part I:
Introduction to part 1 / 1:
Definition and first properties of F-manifolds / 2:
Massive F-manifolds and Lagrange maps / 3:
Discriminants and modality of F-manifolds / 4:
Singularities and Coxeter groups / 5:
Frobenius Manifolds, Gauss-Manin Connections, and Moduli Spaces for Hypersurface Singularities / Part II:
Introduction to part 2 / 6:
Connections on the punctured plane / 7:
Meromorphic connections / 8:
Frobenius manifolds ad second structure connections / 9:
Gauss-Manin connections for hypersurface singularities / 10:
Frobenius manifolds for hypersurface singularities / 11:
âê´Î¼Ïà-constant stratum / 12:
Moduli spaces for singularities / 13:
Variance of the spectral numbers / 14:
Multiplication on the Tangent Bundle / Part I:
Introduction to part 1 / 1:
Definition and first properties of F-manifolds / 2:
4.

図書

図書
Wolfgang Lück
出版情報: Berlin ; Tokyo : Springer, c2002  xv, 595 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, v. 44
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5.

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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目次情報: 続きを見る
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
6.

図書

図書
Donggao Deng ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society : International Press, c2002  xvi, 326 p. ; 26 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 25
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7.

図書

図書
Janet Whalen Kammeyer, Daniel J. Rudolph
出版情報: Cambridge : Cambridge University Press, 2002  vi, 201 p. ; 24 cm
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目次情報: 続きを見る
Preface / 1:
Definitions and examples / 2:
The Ornstein-Weiss machinery / 3:
Copying lemmas / 4:
m-entropy / 5:
m-joinings / 6:
The equivalence theorem / 7:
Appendix / 8:
Preface / 1:
Definitions and examples / 2:
The Ornstein-Weiss machinery / 3:
8.

図書

図書
Andrew J. Majda, Andrea L. Bertozzi
出版情報: Cambridge : Cambridge University Press, 2002  xii, 545 p. ; 26 cm
シリーズ名: Cambridge texts in applied mathematics
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目次情報: 続きを見る
Preface
An introduction to vortex dynamics for incompressible fluid flows / 1:
The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2:
Energy methods for the Euler and the Navier-Stokes equations / 3:
The particle-trajectory method for existence and uniqueness of solutions to the Euler equation / 4:
The search for singular solutions to the 3D Euler equations / 5:
Computational vortex methods / 6:
Simplified asympototic equations for slender vortex filaments / 7:
Weak solutions to the 2D Euler equations with initial vorticity in Lâê  / 8:
Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation / 9:
Weak solutions and solution sequences in two dimensions / 10:
The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data / 11:
Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions / 12:
The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions / 13:
Index
Preface
An introduction to vortex dynamics for incompressible fluid flows / 1:
The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2:
9.

図書

図書
David F. Walnut
出版情報: Boston : Birkhäuser, c2002  xvii, 449 p. ; 25 cm
シリーズ名: Applied and numerical harmonic analysis / series editor, John J. Benedetto
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目次情報: 続きを見る
Preface
Preliminaries / Part I:
Functions and Convergence
Fourier Series
The Fourier Transform
Signals and Systems
The Haar System / Part II:
The Discrete Haar Transform
Orthonormal Wavelet Bases / Part III:
Mulitresolution Analysis
The Discrete Wavelet Transform
Smooth, Compactly Supported Wavelets
Other Wavelet Constructions / Part IV:
Biorthogonal Wavelets
Wavelet Packets
Applications / Part V:
Image Compression
Integral Operators
Review of Advanced Calculus and Linear Algebra / Appendix A:
Excursions in Wavelet Theory / Appendix B:
References Cited in the Text / Appendix C:
Index
Preface
Preliminaries / Part I:
Functions and Convergence
10.

図書

図書
M. Takesaki
出版情報: Berlin ; Tokyo : Springer, c2002-c2003  3 v. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 124-125, 127 . Operator algebras and non-commutative geometry ; 5-6, 8
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目次情報: 続きを見る
Preface
Ergodic Transformaton Groups and the Associated von Neumann Algebras / Chapter XIII:
Approximately Finite Dimensional von Neumann Algebras / Chapter XIV:
Nuclear C*-Algebras / Chapter XV:
Injective von Neumann Algebras / Chapter XVI:
Non-Commutative Ergodic Theory / Chapter XVII:
Structure of Approximately Finite Dimensional Factors / Chapter XVIII:
Subfactors of a Factor of Tape II1 / Chapter XIX:
Fundaments of Banach Algebras and C*-Algebras / Appendix:
Topologies and Density Theorems in Operator Algebras
Conjugate Spaces
Tensor Products of Operator Algebras and Direct Integrals
Types of von Neumann Algebras and Traces
Appendix: Polish Spaces and Standard Borel Spaces
Preface
Ergodic Transformaton Groups and the Associated von Neumann Algebras / Chapter XIII:
Approximately Finite Dimensional von Neumann Algebras / Chapter XIV:
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