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Synopsis
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 me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.
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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.
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Manifolds, Tensor Analysis, and Applications (Global Analysis, Pure and Applied)
Published by
Addison-Wesley, 1983
ISBN 10: 0201101688
ISBN 13: 9780201101683
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Hardcover
First Edition
Seller: The Bookseller, Edmonton, AB, Canada
Seller rating 5 out of 5 stars
Hardcover. Condition: Good. No Jacket. 1st Edition. Edge wear and rubbing/soiling to covers. Owner stamp on inside front cover. Otherwise a tight, unmarked book. Index. xix, 582 pp. Seller Inventory # 064022
Quantity: 1 available
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Manifolds, tensor analysis, and applications (Global analysis, pure and applied)
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
Hardcover. Condition: New. New. book. Seller Inventory # D8S0-3-M-0201101688-6
Quantity: 1 available