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1.

図書
図書
1. Northern California symplectic geometry seminar
Ya. Eliashberg ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  x, 258 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 196 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 45
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Quantization of symplectic orbifolds and group actions / A. Cannas da Silva ; V. Guillemin
Symmetric spaces, Kahler geometry and Hamiltonian dynamics / S. K. Donaldson
Hamiltonian dynamical systems without periodic orbits / V. L. Ginzburg
The mirror formula for quintic threefolds / A. Givental
Stabilisation of symplectic inequalities and applications / F. Lalonde ; C. Pestieau
The virtual moduli cycle / D. McDuff
Engel deformations and contact structures / R. Montgomery
Floer homology, Novikov rings and clean intersections / M. Pozniak
Surgery, quantum cohomology and birational geometry / Y. Ruan
Quantum products for mapping tori and the Atiyah-Floer conjecture / D. A. Salamon
On the group of symplectic automorphisms of $\mathbb{C}P^m \times \mathbb{C}P^n$ / P. Seidel
On the cohomology rings of Hamiltonian $T$-spaces / S. Tolman ; J. Weitsman
Quantization of symplectic orbifolds and group actions / A. Cannas da Silva ; V. Guillemin
Symmetric spaces, Kahler geometry and Hamiltonian dynamics / S. K. Donaldson
Hamiltonian dynamical systems without periodic orbits / V. L. Ginzburg
2.

図書
図書
2. The Geometry of Hamiltonian systems : proceedings of a workshop held June 5-16, 1989 (: New York ; : Berlin)
Tudor Ratiu, editor
出版情報: New York ; Tokyo : Springer-Verlag, c1991  x, 527 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 22
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3.

図書
図書
3. Manifolds, tensor analysis, and applications. 2nd ed (: us ; : gw)
R. Abraham, J.E. Marsden, T. Ratiu
出版情報: New York ; Tokyo : Springer-Verlag, c1988  vii, 654 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 75
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Preface
Background Notation
Topology / Chapter 1：
Banach Spaces and Differential Calculus / Chapter 2：
Manifolds and Vector Bundles / Chapter 3：
Vector Fields and Dynamical Systems / Chapter 4：
Tensors / Chapter 5：
Differential Forms / Chapter 6：
Integration on Manifolds / Chapter 7：
Applications / Chapter 8：
References
Index
Supplementary Chapters
S-1 Lie Groups
S-2 Introduction to Differential Topology
S-3 Topics in Riemannian Geometry
Preface
Background Notation
Topology / Chapter 1：
4.

図書
図書
4. Turbulence Seminar, Berkeley 1976/77 (: Berlin ; : New York)
organized by A. Chorin, J. Marsden, and S. Smale ; edited by P. Bernard and T. Ratiu
出版情報: Berlin : Springer-Verlag, 1977  iv, 155 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 615
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5.

図書
図書
5. Foundations of mechanics : a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem. 2nd ed., rev., enl., and reset
Ralph Abraham and Jerrold E. Marsden ; with the assistance of Tudor Ratiu and Richard Cushman
出版情報: Reading, Mass. : Benjamin/Cummings, 1978  xxii, 806 p. ; 24 cm
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6.

図書
図書
6. Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems (: us - : gw : soft)
Jerrold E. Marsden, Tudor S. Ratiu
出版情報: New York : Springer-Verlag, c1994  xiv, 500 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 17
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7.

図書
図書
7. Geometric mechanics and symmetry : the Peyresq lectures (: pbk)
edited by James Montaldi, Tudor Ratiu
出版情報: Cambridge : Cambridge University Press, 2005  x, 402 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 306
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8.

図書
図書
8. The breadth of symplectic and poisson geometry : Festschrift in honor of Alan Weinstein
Jerrold E. Marsden, Tudor S. Ratiu, editors
出版情報: Boston : Birkhäuser, c2005  xxiii, 654 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 232
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Preface
Academic Genealogy of / Alan Weinstein
About
Dirac structures, momentum maps, and quasi-Poisson manifolds / Bursztyn ; Crainic
Construction of Ricci-type connections by reduction and induction / Cahen ; Gutt ; SchwachhÃâ¶fer
Duistermaat: A mathematical model for geomagnetic reversals
Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization / Ehlers ; Koiller ; Montgomery ; Rios
Thompson's conjecture for real semisimple Lie groups / Evens ; Lu
The Weinstein conjecture and theorems of nearby and almost existence / Ginzburg
Simple singularities and integrable hierarchies / Givental ; Milanov
Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation / Holm ; Marsden
Higher homotopies and MaurerÃóâé1/4"Cartan algebras: Quasi-LieÃóâé1/4"Rinehart, Gerstenhaber, and BatalinÃóâé1/4"Vilkovisky algebras / Huebschmann
Localization theorems by symplectic cuts / Jeffrey ; Kogan
Refinements of the Morse stratification of the normsquare of the moment map / Kirwan
Quasi, twisted, and all thatÃóâé1/4Â in Poisson geometry and Lie algebroid theory / Kosmann-Schwarzbach
Minimal coadjoint orbits and symplectic induction / Kostant
Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces / Laurent-Gengoux ; Xu
Duality and triple structures / Mackenzie
Star exponential functions as two-valued elements / Maeda ; Miyazaki ; Omori ; Yoshioka
From momentum maps and dual pairs to symplectic and Poisson groupoids / Marle
Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds / Oh
The universal covering and covered spaces of a symplectic Lie algebra action / Ortega ; Ratiu
Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan's interests / Stasheff
Dirac submanifolds of Jacobi manifolds / Vaisman
Quantum maps and automorphisms / Zelditch
Preface
Academic Genealogy of / Alan Weinstein
About
9.

電子ブック
ＥＢ
9. Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems. 2nd ed (: electronic bk)
Jerrold E. Marsden, Tudor S. Ratiu
出版情報: [Ann Arbor, Mich.] : ProQuest Ebook Central, [20--]  1 online resource (xviii, 582 p.)
シリーズ名: Texts in applied mathematics ; 17
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