Manifolds, Tensor Analysis, and Applications

Name: Manifolds, Tensor Analysis, and Applications
Price: 72.47 USD
Availability: InStock
ISBN: 9780387967905

ISBN-10: 0387967907

ISBN-13: 9780387967905

Edition: 2nd 1988 (Revised)

Authors: Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu

List price: $134.00

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Description:

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.

Book details

List price: $134.00
Edition: 2nd
Copyright year: 1988
Publisher: Springer
Publication date: 8/13/1993
Binding: Hardcover
Pages: 656
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 2.398
Language: English



Preface


Background Notation



Topology



Banach Spaces and Differential Calculus



Manifolds and Vector Bundles



Vector Fields and Dynamical Systems



Tensors



Differential Forms



Integration on Manifolds



Applications


References


Index


Supplementary Chapters


S-1 Lie Groups


S-2 Introduction to Differential Topology


S-3 Topics in Riemannian Geometry