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Manifolds, tensor analysis, and applications (Global analysis, pure and applied) by Ralph Abraham; Jerrold E Marsden; Tudor S Ratiu is a book available to read on EtoBox.
What is Manifolds, tensor analysis, and applications (Global analysis, pure and applied) about?
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.
- Author
- Ralph Abraham; Jerrold E Marsden; Tudor S Ratiu
- Publisher
- Reading, Mass.: Addison-Wesley
- Published
- 1983
- Language
- EN
- ISBN
- 9781461210290
- Subjects
- Mathematics, Stem
Other editions & translations
- Manifolds, Tensor Analysis, And Applications Second Edition (1988)
- Manifolds, tensor analysis, and applications (Global analysis, pure and applied) (2001)
- Manifolds, Tensor analysis, and Applications (draft 2003-01-05) (Springer) (1983)
- Manifolds, Tensor Analysis, And Applications Second Edition (2007)
- Manifolds, tensor analysis, and applications (Global analysis, pure and applied) (2002)
- Manifolds, Tensor Analysis, and Applications (2007 version) (2007)
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