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Manifolds, Tensor Analysis, and Applications (2007 version) PDF

604 Pages·2007·5.665 MB·English
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About Manifolds, Tensor Analysis, and Applications (2007 version)

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.

Detailed Information

Author:Jerrold E. Marsden and Tudor Ratiu, with the collaboration of Ralph Abraham
Publication Year:2007
ISBN:9780387967905
Pages:604
Language:English
File Size:5.665
Format:PDF
Price:FREE
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