Manifolds, Tensor Analysis, and Applications

ISBN-10: 0387967907
ISBN-13: 9780387967905
Edition: 2nd 1988 (Revised)
List price: $134.00 Buy it from $45.55
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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  More...

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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: 2.574
Language: English

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.

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

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