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Science/Engineering Manifolds, Tensor Analysis, and Applications

Posted on 2010-03-15




Name:Science/Engineering Manifolds, Tensor Analysis, and Applications
ASIN/ISBN:0387967907
Language:English
File size:5.8 Mb
Publish Date: 1993-08-13
ISBN: 0387967907
Pages: 654 pages
File Type: PDF
File Size: 5,8 MB
Other Info: Springer
   Science/Engineering Manifolds, Tensor Analysis, and Applications

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Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu, "Manifolds, Tensor Analysis, and Applications "

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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