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Symplectic Geometry and Analytical Mechanics

  • Paulette Libermann
  • Charles-Michel Marle

Part of the Mathematics and Its Applications book series (MAIA, volume 35)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Paulette Libermann, Charles-Michel Marle
    Pages 1-52
  3. Paulette Libermann, Charles-Michel Marle
    Pages 53-88
  4. Paulette Libermann, Charles-Michel Marle
    Pages 89-184
  5. Paulette Libermann, Charles-Michel Marle
    Pages 185-274
  6. Paulette Libermann, Charles-Michel Marle
    Pages 275-340
  7. Back Matter
    Pages 341-526

About this book

Introduction

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.

Keywords

Host Lemma Vector field boundary element method calculus class constant electrical engineering equation foliation graphs integral lie group measure programming

Authors and affiliations

  • Paulette Libermann
    • 1
  • Charles-Michel Marle
    • 2
  1. 1.Université de Paris VIIParisFrance
  2. 2.Université Pierre et Marie Curie (Paris VI)ParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-3807-6
  • Copyright Information Springer Science+Business Media B.V. 1987
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-2439-7
  • Online ISBN 978-94-009-3807-6
  • Buy this book on publisher's site
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