Title: Manifolds, Tensor Analysis, and Applications (Applied Mathematical Sciences)
Publisher: Springer
Publication Date: 2012
Language: English
ISBN 10: 1461269903
ISBN 13: 9781461269908
Binding: Soft cover
Condition: New

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Synopsis

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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