## Mathematics-Geometry and Topology

# Symplectic Geometry and Analytical Mechanics

US$5.00 US$61.00

Title (user) : Symplectic Geometry and Analytical MechanicsISBN : 9027724385,9789027724380DDC : 516.3/6LCC : QA649 .L465 1987DOI : 10.1007/978-94-009-3807-6GoogleBook ID : Em9QhtJud48COpenLibrary ID : OL2737082MEdition : 1Series : Mathematics and Its Applications 35Authors (user) : Paulette Libermann, Charle...##### Description

Title (user) : Symplectic Geometry and Analytical Mechanics

ISBN : 9027724385,9789027724380

DDC : 516.3/6

LCC : QA649 .L465 1987

DOI : 10.1007/978-94-009-3807-6

GoogleBook ID : Em9QhtJud48C

OpenLibrary ID : OL2737082M

Edition : 1

Series : Mathematics and Its Applications 35

Authors (user) : Paulette Libermann, Charles-Michel Marle (auth.)

Authors (google) : P. Libermann,Charles-Michel Marle

Publisher : Springer Netherlands

Language : English

Publication Date : 1987

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics

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Description (user) :

Approach your problems from the right end It isn't that they can't see the solution. and begin with the answers. Then one day, It is that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' Brown 'The point of a Pin'. in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thouglit to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sci ences has changed drastically in recent years: measure theory is used (non-trivially) in re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homo topy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

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Description (google) :

Approach your problems from the right end It isn't that they can't see the solution. and begin with the answers. Then one day, It is that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' Brown 'The point of a Pin'. in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thouglit to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sci ences has changed drastically in recent years: measure theory is used (non-trivially) in re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homo topy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

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Table of contents :

Front Matter....Pages i-xvi

Symplectic vector spaces and symplectic vector bundles....Pages 1-52

Semi-basic and vertical differential forms in mechanics....Pages 53-88

Symplectic manifolds and Poisson manifolds....Pages 89-184

Action of a Lie group on a symplectic manifold....Pages 185-274

Contact manifolds....Pages 275-340

Back Matter....Pages 341-526

##### Additional Information

##### 0 Reviews for Symplectic Geometry and Analytical Mechanics

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