Manifolds, Tensor Analysis, and Applications
Abraham, Ralph; Marsden, Jerrold; Ratiu, Tudor (Ercole Polytechnique de Lausanne, Switzerland)
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Description for Manifolds, Tensor Analysis, and Applications
paperback. This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory. Series: Applied Mathematical Sciences. Num Pages: 667 pages, 1 black & white tables, biography. BIC Classification: PBK; PBKA; PBP. Category: (P) Professional & Vocational. Dimension: 160 x 235 x 42. Weight in Grams: 938.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer United States
Number of pages
667
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
656
Place of Publication
New York, NY, United States
ISBN
9781461269908
SKU
V9781461269908
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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