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1.

図書
図書
1. Theory of vortex sound (: pbk)
M.S. Howe
出版情報: Cambridge, U.K. : Cambridge University Press, 2003  xiv, 216 p. ; 23 cm
シリーズ名: Cambridge texts in applied mathematics
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Preface
Introduction / 1：
Lighthill's theory / 2：
The compact Green's function / 3：
Vorticity / 4：
Vortex sound / 5：
Vortex-surface interaction noise in two-dimensions / 6：
Problems in three-dimensions / 7：
Further worked examples / 8：
Bibliography
Preface
Introduction / 1：
Lighthill's theory / 2：
2.

図書
図書
2. Elementary number theory, group theory, and Ramanujan graphs (: hb ; : pbk)
Giuliana Davidoff, Peter Sarnak, Alain Valette
出版情報: Cambridge : Cambridge University Press, 2003  viii, 144 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 55
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An overview
Graph theory / 1：
Number theory / 2：
PSL2(q) / 3：
The graphs Xp, q / 4：
4-regular graphs with large girth / Appendix A：
Index
Bibliography
An overview
Graph theory / 1：
Number theory / 2：
3.

図書
図書
3. Introduction to PDEs and waves for the atmosphere and ocean (: pbk.)
Andrew Majda
出版情報: New York : Courant Institute of Mathematical Sciences, New York University , Providence, R.I : American Mathematical Society, 2003  ix, 234 p. ; 26 cm
シリーズ名: Courant lecture notes in mathematics ; 9
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Preface
Introduction / Chapter 1.：
Basic Properties of the Equations with Rotation and Stratification / 1.1.：
Two-Dimensional Exact Solutions / 1.2.：
Buoyancy and Stratification / 1.3.：
Jet Flows with Rotation and Stratification / 1.4.：
From Vertical Stratification to Shallow Water / 1.5.：
Some Remarkable Features of Stratified Flow / Chapter 2.：
Energy Principle / 2.1.：
Vorticity in Stratified Fluids and Exact Solutions Motivated by Local Analysis / 2.2.：
Use of Theorem 2.4: Exact Two-Dimensional Solutions / 2.3.：
Nonlinear Plane Waves in Stratified Flow: Internal Gravity Waves / 2.4.：
Exact Solutions with Large-Scale Motion and Nonlinear Plane Waves / 2.5.：
More Details for Theorem 2.7 on Special Exact Solutions for the Boussinesq Equations Including Plane Waves / 2.6.：
Linear and Nonlinear Instability of Stratified Flows with Strong Stratification / Chapter 3.：
Boussinesq Equations and Vorticity Stream Formulation / 3.1.：
Nonlinear Instability of Stratified Flows / 3.2.：
Shear Flows / 3.3.：
Some Background Facts on ODEs / 3.4.：
Rotating Shallow Water Theory / Chapter 4.：
Rotating Shallow Water Equations / 4.1.：
Conservation of Potential Vorticity / 4.2.：
Nonlinear Conservation of Energy / 4.3.：
Linear Theory for the Rotating Shallow Water Equations / 4.4.：
Nondimensional Form of the Rotating Shallow Water Equations / 4.5.：
Derivation of the Quasi-Geostrophic Equations / 4.6.：
The Quasi-Geostrophic Equations as a Singular PDE Limit / 4.7.：
The Model Rotating Shallow Water Equations / 4.8.：
Preliminary Mathematical Considerations / 4.9.：
Regorous Convergence of the Model Rotating Shallow Water Equations to the Quasi-Geostrophic Equations / 4.10.：
Proof of the Convergence Theorem / 4.11.：
Linear and Weakly Nonlinear Theory of Dispersive Waves with Geophysical Examples / Chapter 5.：
Linear Wave Midlatitude Planetary Equations / 5.1.：
Dispersive Waves: General Properties / 5.2.：
Interpretation of Group Velocity / 5.3.：
Distant Propagation from a Localized Source / 5.4.：
WKB Methods for Linear Dispersive Waves / 5.5.：
Beyond Caustics: Eikonal Equation Revisited / 5.6.：
Weakly Nonlinear WKB for Perturbations Around a Constant State / 5.7.：
Nonlinear WKB and the Boussinesq Equations / 5.8.：
Simplified Equations for the Dynamics of Strongly Stratified Flow / Chapter 6.：
Nondimensionalization of the Boussinesq Equations for Stably Stratified Flow / 6.1.：
The Vorticity Stream Formulation and Elementary Properties of the Limit Equations for Strongly Stratified Flow / 6.2.：
Solutions of the Limit Dynamics with Strong Stratification as Models for Laboratory Experiments / 6.3.：
The Stratified Quasi-Geostrophic Equations as a Singular Limit of the Rotating Boussinesq Equations / Chapter 7.：
The Rotating Boussinesq Equations / 7.1.：
The Nondimensional Rotating Boussinesq Equations / 7.3.：
Formal Asymptotic Derivation of the Quasi-Geostrophic Equations as a Distinguished Asymptotic Limit of Small Rossby and Froude Numbers / 7.4.：
Rigorous Convergence of the Rotating Boussinesq Equations to the Quasi-Geostrophic Equations / 7.5.：
Introduction to Averaging over Fast Waves for Geophysical Flows / 7.6.：
Motivation for Fast-Wave Averaging / 8.1.：
A General Framework for Averaging over Fast Waves / 8.3.：
Elementary Analytic Models for Comparing Instabilities at Low Froude Numbers with the Low Froude Number Limit Dynamics / 8.4.：
The Rapidly Rotating Shallow Water Equations with Unbalanced Initial Data in the Quasi-Geostrophic Limit / 8.5.：
The Interaction of Fast Waves and Slow Dynamics in the Rotating Stratified Boussinesq Equations / 8.6.：
Waves and PDEs for the Equatorial Atmosphere and Ocean / Chapter 9.：
Introduction to Equatorial Waves for Rotating Shallow Water / 9.1.：
The Equatorial Primitive Equations / 9.2.：
The Nonlinear Equatorial Long-Wave Equations / 9.3.：
A Simple Model for the Steady Circulation of the Equatorial Atmosphere / 9.4.：
Bibliography
Preface
Introduction / Chapter 1.：
Basic Properties of the Equations with Rotation and Stratification / 1.1.：
4.

図書
図書
4. Geometry and physics of branes
edited by Ugo Bruzzo, Vittorio Gorini and Ugo Moschella
出版情報: Bristol ; Philadelphia : Institute of Physics Pub., c2003  x, 282 p. ; 25 cm
シリーズ名: Studies in high energy physics, cosmology and gravitation
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Preface
An elementary introduction to branes in string theory / Alberto LerdaPart 1：
Introduction / 1：
Branes in string theory / 2：
The superstring effective actions of type II / 2.1：
Type IIA / 2.1.1：
Type IIB / 2.1.2：
General construction / 2.2：
Explicit solutions / 2.3：
Fundamental string / 2.3.1：
NS 5-brane / 2.3.2：
D p-branes / 2.3.3：
The geometry of the D3-brane of type IIB / 2.3.4：
The boundary state description of D-branes / 3：
The boundary state with an external field / 3.1：
The effective action of D-branes / 4：
Classical D-branes from the boundary state / 5：
References
Physical aspects / Yassen Stanev ; Cesar Gomez ; Pedro RescoPart 2：
Two-dimensional conformal field theory on open and unoriented surfaces / 6：
General properties of two-dimensional CFT / 6.1：
The stress-energy tensor in two dimensions / 6.2.1：
Rational conformal field theories / 6.2.2：
Non-Abelian conformal current algebras / 6.2.3：
Partition function, modular invariance / 6.2.4：
Correlation functions in current algebra models / 6.3：
Properties of the chiral conformal blocks / 6.3.1：
Regular basis of 4-point functions in the SU (2) model / 6.3.2：
Matrix representation of the exchange algebra / 6.3.3：
Two-dimensional braid invariant Green functions / 6.3.4：
CFT on surfaces with holes and crosscaps / 6.4：
Open sector, sewing constraints / 6.4.1：
Closed unoriented sector, crosscap constraint / 6.4.2：
Partition functions / 6.5：
Klein bottle projection / 6.5.1：
Annulus partition function / 6.5.2：
Mobius strip projection / 6.5.3：
Solutions for the partition functions / 6.5.4：
Acknowledgments
Topics in string tachyon dynamics / 7：
Why tachyons? / 7.1：
Tachyons in AdS: The c = 1 barrier / 7.3：
Tachyon [sigma]-model beta-functions / 7.4：
Open strings and cosmological constant: the Fischler-Susskind mechanism / 7.5：
Fischler-Susskind mechanism: closed-string case / 7.5.1：
Open-string contribution to the cosmological constant: the filling brane / 7.5.2：
The effective action / 7.6：
A warming-up exercise / 7.6.1：
Non-critical dimension and tachyon condensation / 7.6.2：
D-branes, tachyon condensation and K-theory / 7.7：
Extended objects and topological stability / 7.7.1：
A gauge theory analogue for D-branes in type II strings / 7.7.2：
K-theory version of Sen's conjecture / 7.7.3：
Type IIA strings / 7.7.4：
Some final comments on gauge theories / 7.8：
Mathematical developments / Kenji Fukaya ; Antonella Grassi ; Michele RossiPart 3：
Deformation theory, homological algebra and mirror symmetry / 8：
Classical deformation theory / 8.1：
Holomorphic structure on vector bundles / 8.2.1：
Families of holomorphic structures on vector bundles / 8.2.2：
Cohomology and deformations / 8.2.3：
Bundle valued harmonic forms / 8.2.4：
Construction of a versal family and Feynman diagrams / 8.2.5：
The Kuranishi family / 8.2.6：
Formal deformations / 8.2.7：
Homological algebra and deformation theory / 8.3：
Homotopy theory of A[subscript infinity] and L[subscript infinity] algebras / 8.3.1：
Maurer-Cartan equation and moduli functors / 8.3.2：
Canonical model, Kuranishi map and moduli space / 8.3.3：
Superspace and odd vector fields--an alternative formulation of L[subscript infinity] algebras / 8.3.4：
Application to mirror symmetry / 8.4：
Novikov rings and filtered A[subscript infinity], L[subscript infinity] algebras / 8.4.1：
Review of a part of global symplectic geometry / 8.4.2：
From Lagrangian submanifold to A[subscript infinity] algebra / 8.4.3：
Maurer-Cartan equation for filtered A[subscript infinity] algebras / 8.4.4：
Homological mirror symmetry / 8.4.5：
Large N dualities and transitions in geometry / 9：
Geometry and topology of transitions / 9.1：
The local topology of a conifold transition / 9.1.1：
Transitions of Calabi-Yau threefolds / 9.1.2：
Transitions and mirror symmetry / 9.1.3：
Transitions, black holes etc / 9.1.4：
Chern-Simons theory / 9.2：
Chern-Simons' form and action / 9.2.1：
The Hamiltonian formulation of the Chern-Simons QFT (following Witten's canonical quantization) / 9.2.2：
Computability and link invariants / 9.2.3：
The Gopakumar-Vafa conjecture / 9.3：
Matching the free energies / 9.3.1：
The matching of expectation values / 9.3.2：
Lifting to M-theory / 9.4：
Riemannian Holonomy, G[subscript 2] manifolds and Calabi-Yau, revisited / 9.4.1：
The geometry / 9.4.2：
Branes and M-theory lifts / 9.4.3：
M-theory lift and M-theory flop / 9.4.4：
Appendix: Some notation on singularities and their resolutions / 9.5：
Appendix: More on the Greene-Plesser construction / 9.6：
Appendix: More on transitions in superstring theory / 9.7：
Appendix: Principal bundles, connections etc / 9.8：
Appendix: More on Witten's open-string theory interpretation of QFT / 9.9：
Index
Preface
An elementary introduction to branes in string theory / Alberto LerdaPart 1：
Introduction / 1：
5.

図書
図書
5. Selected papers on discrete mathematics (: cloth ; : paper)
Donald E. Knuth
出版情報: Stanford, Calif. : CSLI Publications, c2003  xvi, 812 p. ; 23 cm
シリーズ名: CSLI lecture notes ; no. 106
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Combinatorial Analysis and Computers / 1：
Two Notes on Notation / 2：
Bracket Notation for the 'Coefficient of' Operator / 3：
Johann Faulhaber and Sums of Powers / 4：
Notes on Thomas Harriot / 5：
A Permanent Inequality / 6：
Overlapping Pfaffians / 7：
The Sandwich Theorem / 8：
Combinatorial Matrices / 9：
Aztec Diamonds, Checkerboard Graphs, and Spanning Trees / 10：
Partitioned Tensor Products and Their Spectra / 11：
Oriented Subtrees of an Arc Digraph / 12：
Another Enumeration of Trees / 13：
Abel Identities and Inverse Relations / 14：
Convolution Polynomials / 15：
Polynomials Involving the Floor Function / 16：
Construction of a Random Sequence / 17：
An Imaginary Number System / 18：
Tables of Finite Fields
Finite Semifields and Projective Planes / 20：
A Class of Projective Planes / 21：
Notes on Central Groupoids / 22：
Huffman's Algorithm via Algebra / 23：
Wheels Within Wheels / 24：
Complements and Transitive Closures / 25：
Random Matroids / 26：
The Asymptotic Number of Geometries / 27：
Permutations with Nonnegative Partial Sums / 28：
Efficient Balanced Codes / 29：
The Knowlton - Graham Partition Problem / 30：
Permutations, Matrices, and Generalized Young Tableaux / 31：
Enumeration of Plane Partitions / 32：
A Note on Solid Partitions / 33：
Identities from Partition Involutions / 34：
Subspaces, Subsets, and Partitions / 35：
The Power of a Prime That Divides a Generalized Coefficient / 36：
An Almost Linear Recurrence / 37：
Recurrence Relations Based on Minimization / 38：
A Recurrence Related to Trees / 39：
The First Cycles in an Evolving Graph / 40：
The Birth of the Giant Component / 41：
Index
Combinatorial Analysis and Computers / 1：
Two Notes on Notation / 2：
Bracket Notation for the 'Coefficient of' Operator / 3：
6.

雑誌
雑誌
6. Applied mathematics research express : AMRX
出版情報: New York : Hindawi, 2003-  v. ; 28 cm
巻次年月次: 2003, no. 1-
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7.

図書
図書
7. The orbit method in geometry and physics : in honor of A.A. Kirillov (: [us] ; : [gw])
Christian Duval, Laurent Guieu, Valentin Ovsienko, editors
出版情報: Basel ; Boston : Birkhäuser Verlag, c2003  xii, 472 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 213
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A Principle of Variations in Representation Theory
Finite Group Actions on Poisson Algebras
Representations of Quantum Tori and G-bundles on Elliptic Curves
Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I
Gerbes of Chiral Differential Operators III
Defining Relations for the Exceptional Superalgebras of Vector Fields
Schur-Weyl Duality and Representations of Permutation Groups
Quantiziation of Hypersurface Orbitla Varieties in sln
Generalization of a Theorem of Waldspurger to Nice Representations
Two More Variations on the Triangular Theme
The Generalized Cayley Map from an Algebraic Group to its Lie Algebra
Geometry of GLn(C) at Infinity: Hinges, Complete Collineations, Projective Compactifications, and Universal Boundary
Point Processes Related to the Infinite Symmetric Group
Some Toric Manifolds and a Path Integral
Projective Schur Functions as Bispherical Functions on Certain Homogeneous Superspaces
Maximal Subalgebras of the Classical Linear Lie Superalgebras
A Principle of Variations in Representation Theory
Finite Group Actions on Poisson Algebras
Representations of Quantum Tori and G-bundles on Elliptic Curves
8.

図書
図書
8. The problem of integrable discretization : Hamiltonian approach
Yuri B. Suris
出版情報: Basel : Birkhäuser Verlag, c2003  xxi, 1070 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 219
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9.

図書
図書
9. Mathematical methods using Mathematica : for students of physics and related fields (softcover : alk. paper)
Sadri Hassani
出版情報: New York : Springer, c2003  ix, 235 p. ; 24 cm
シリーズ名: Undergraduate texts in contemporary physics
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10.

図書
図書
10. Proceedings of the Workshop Nonlinear Physics : theory and experiment. II : Università di Lecce - Consortium Einstein : 27 June - 6 July 2002, Gallipoli, Italy
M. J. Ablowitz ... [et al.]
出版情報: New Jersey : World Scientific, c2003  xv, 421 p. ; 24 cm
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