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Manifolds, Tensor Analysis, and Applications

Language EnglishEnglish
Book Hardback
Book Manifolds, Tensor Analysis, and Applications Ralph Abraham
Libristo code: 01384928
Publishers Springer-Verlag New York Inc., August 1993
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physi... Full description
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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.

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