Manifolds, Tensor Analysis, and Applications by Ralph Abraham

Manifolds, Tensor Analysis, and Applications by Ralph Abraham

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Zusammenfassung

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 Nicht verfügbar
ISBN 13 9781461269908
ISBN 10 1461269903
Titel Manifolds, Tensor Analysis, and Applications
Autor Ralph Abraham
Serie Applied Mathematical Sciences
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Springer-Verlag New York Inc.
Erscheinungsjahr 2012-10-17
Seitenanzahl 656
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar