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Manifolds, Tensor Analysis, and Applications : Applied Mathematical Sciences - Ralph Abraham

Manifolds, Tensor Analysis, and Applications

Applied Mathematical Sciences

Hardcover Published: 13th August 1993
ISBN: 9780387967905
Number Of Pages: 656

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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. 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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387967905
ISBN-10: 0387967907
Series: Applied Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 656
Published: 13th August 1993
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.1
Edition Number: 2
Edition Type: Revised