Manifolds, Tensor Analysis and Applications (Global analysis, pure and applied)
Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu
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.
Thể loại:
Năm:
1983
In lần thứ:
1st
Nhà xuát bản:
Addison-Wesley Publishing Company
Ngôn ngữ:
english
Trang:
604
ISBN 10:
0201101688
ISBN 13:
9780201101683
File:
PDF, 25.43 MB
IPFS:
,
english, 1983