Manifolds, Tensor Analysis and Applications (Global...

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Manifolds, Tensor Analysis and...

Manifolds, Tensor Analysis and Applications (Global analysis, pure and applied)

Name: Manifolds, Tensor Analysis and Applications (Global analysis, pure and applied)
ISBN: 9780201101683

Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu

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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.

カテゴリー:

Mathematics

年:

1983

版:

1st

出版社:

Addison-Wesley Publishing Company

言語:

english

ページ:

604