Manifolds, Tensor Analysis, and Applications
Publisher: Springer
Published: Oct 17, 2012
Format: paperback
Number of pages: 667
ISBN-13: 9781461269908
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 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.
Notes: Source title: Manifolds, Tensor Analysis, and Applications (Applied Mathematical Sciences (75))