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Manifolds, Tensor Analysis and Applications PDF

617 Pages·1983·5.408 MB·English
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by Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu| 1983| 617 pages| 5.408| English

About 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.

Detailed Information

Author:Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu
Publication Year:1983
ISBN:387967907
Pages:617
Language:English
File Size:5.408
Format:PDF
Price:FREE
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