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Manifolds, Tensor Analysis, and Applications

Manifolds, Tensor Analysis, and Applications

Paperback

Series: Applied Mathematical Sciences, Book 75

CalculusGeneral Mathematics

ISBN10: 1461269903
ISBN13: 9781461269908
Publisher: Springer
Published: Oct 17 2012
Pages: 656
Weight: 2.04
Height: 1.35 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics