close
1.

図書
図書
1. The action principle and partial differential equations (: cloth ; : pbk)
by Demetrios Christodoulou
出版情報: Princeton, N.J. : Princeton University Press, 2000  viii, 319 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 146
所蔵情報: loading…
目次情報: 続きを見る
General Introduction
Introduction / 1 1.0：
The Lagrangian Picture / 1.1：
The Hamiltonian Picture / 1.2：
Examples / 1.3：
The Canonlicd and Symplectic Forms / 2 2.0：
Symplectic Transformations / 2.2：
The Equations of Variation / 2.3：
The Circulation Theorem / 2.4：
The Euler System / 2.5：
Irrotational Solutions / 2.6：
The Equation of Continuity / 2.7：
Compatible Currents / 3 3.0：
Null Currents and Null Lagragians / 3.2：
The Source Equations / 3.3：
The Generic Case n >1 & m >2 / 3.4：
The Separable Case m >2 / 3.5：
The Case m = 2 / 3.6：
Lie Flows and the Noether Current / 3.7：
Sections of Vector Bundles / 4 4.1：
Relative Lagrangians / 5 5.0：
Ellipticity and Hyperbolicity / 5.2：
The Domain of Dependence / 5.3：
The Electromagnetic Field / 6 6.1：
Electromagnetic Symplectic Structure / 6.2：
Electromagnetic Compatible Currents / 6.3：
Causality in Electromagnetic etic Theory / 6.4：
Bibliography
Index
General Introduction
Introduction / 1 1.0：
The Lagrangian Picture / 1.1：
2.

図書
図書
2. Symplectic geometry and topology (: pbk)
Yakov Eliashberg, Lisa Traynor, editors
出版情報: Providence, R.I. : American Mathematical Society , [Princeton] : Institute for Advanced Study, c1999  xiv, 430 p. ; 27 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 7
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Introduction to symplectic topology Introduction
Basics Moser's argument
The linear theory
The nonsqueezing theorem and capacities
Sketch proof of the nonsqueezing theorem
Bibliography
Holomorphic curves and dynamics in dimension three Problems, basic concepts and overview
Analytical tools
The Weinstein conjecture in the overtwisted case
The Weinstein conjecture in the tight case
Some outlook
An Introduction to the Seiberg-Witten equations on symplectic manifolds Introduction
Background from differential geometry
Spin and the Seiberg-Witten equations
The Seiberg-Witten invariants
The symplectic case, part I
The symplectic case, part II
Lectures on Floer homology Introduction
Symplectic fixed points and Morse theory
Fredholm theory Floer homology
Gromov compactness and stable maps
Multi-valued perturbations
A tutorial on quantum cohomology Introduction
Moduli spaces of stable maps $QH^*(G/B)$ and quantum
Toda lattices
Singularity theory
Toda lattices and the mirror conjecture
Euler characteristics and Lagrangian intersections Introduction
Hamiltonian group actions and symplectic reduction / Lecture 1：
Introduction to Hamiltonian group actions
The geometry of the moment map
Equivariant cohomology and the Cartan model
The Duistermaat-Heckman theorem and applications to the cohomology of symplectic quotients
Moduli spaces of vector bundles over
Riemann surfaces Exercises
Park City lectures on mechanics, dynamics, and symmetry Introduction
Reduction for mechanical systems with symmetry
Stability, underwater vehicle dynamics and phases
Systems with rolling constraints and locomotion
Optimal control and stabilization of balance systems
Variational integrators
Introduction
Introduction to symplectic topology Introduction
Basics Moser's argument
3.

図書
図書
3. Frobenius manifolds, quantum cohomology, and moduli spaces
Yuri I. Manin
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiii, 303 p. ; 27 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 47
所蔵情報: loading…
4.

図書
図書
4. Structure of dynamical systems : a symplectic view of physics
J.-M. Souriau ; translated by C.H. Cushman-de Vries ; translation editors, R.H. Cushman, G.M. Tuynman
出版情報: Boston, Mass. : Birkhäuser, c1997  xxxiv, 406 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 149
所蔵情報: loading…
5.

図書
図書
5. Introduction to symplectic topology. 2nd ed
Dusa McDuff and Dietmar Salamon
出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1998  ix, 486 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
所蔵情報: loading…
6.

図書
図書
6. Boundary value problems and symplectic algebra for ordinary differential and quasi-differential operators
W. Norrie Everitt, Lawrence Markus
出版情報: Providence, R.I. : American Mathematical Society, c1999  xii, 187 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 61
所蔵情報: loading…
7.

図書
図書
7. Gauge theory and symplectic geometry
edited by Jacques Hurtubise and François Lalonde ; technical editor, Gert Sabidussi
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xvii, 212 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 488
所蔵情報: loading…
8.

図書
図書
8. Symplectic manifolds with no Kähler structure (: pbk)
Aleksy Tralle, John Oprea
出版情報: Berlin ; Heidelberg ; New York : Springer, c1997  viii, 207 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1661
所蔵情報: loading…
9.

図書
図書
9. Representation theory and complex geometry
Neil Chriss, Victor Ginzburg
出版情報: Boston : Birkhäuser, 1997  x, 495 p. ; 26 cm
所蔵情報: loading…
10.

図書
図書
10. Contact and symplectic geometry
edited by C.B. Thomas
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xviii, 310 p. ; 24 cm
シリーズ名: Publications of the Newton Institute
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼