𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Manifolds, Tensor analysis, and Applications (draft 2003-01-05)

✍ Scribed by Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu


Book ID
127422622
Publisher
Longman Higher Education
Year
1983
Tongue
English
Weight
9 MB
Series
Global analysis, pure and applied
Edition
3rd Ed
Category
Library
ISBN
0387967907

No coin nor oath required. For personal study only.

✦ Synopsis


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.


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