Manifolds, Tensor Analysis, and Applications by Ralph Abraham

Manifolds, Tensor Analysis, and Applications by Ralph Abraham

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Résumé

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory.

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Manifolds, Tensor Analysis, and Applications by Ralph Abraham

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory are given using both invariant and index notation. The prerequisites required are solid undergraduate courses in linear algebra and advanced calculus.

Marsden is a mathematics professor at the University of California, Berkeley. Hughes is a mechanical engineering professor at Stanford University.

SKU Non disponible
ISBN 13 9781461269908
ISBN 10 1461269903
Titre Manifolds, Tensor Analysis, and Applications
Auteur Ralph Abraham
Série Applied Mathematical Sciences
État Non disponible
Type de reliure Paperback
Éditeur Springer-Verlag New York Inc.
Année de publication 2012-10-17
Nombre de pages 656
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible