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Manifolds, Tensor Analysis, and Applications

Ralph Abraham, Jerrold E. Marsden, and Tudor Ratiu
Publisher: 
Springer Verlag
Publication Date: 
2001
Number of Pages: 
672
Format: 
Hardcover
Edition: 
2
Series: 
Applied Mathematical Sciences 75
Price: 
89.95
ISBN: 
0387967907
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 Preface * Background Notation * Chapter 1 Topology * Chapter 2 Banach Spaces and Differential Calculus * Chapter 3 Manifolds and Vector Bundles * Chapter 4 Vector Fields and Dynamical Systems * Chapter 5 Tensors * Chapter 6 Differential Forms * Chapter 7 Integration on Manifolds * Chapter 8 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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