Manifolds, Tensor Analysis, and Applications

by Tudor Ratiu, Jerrold E. Marsden, Ralph H. Abraham

Book Overview

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...

• Format: Hardcover
• Language: English
• ISBN: 0387967907
• ISBN13: 9780387967905
• Release Date: November 1988
• Publisher: Springer
• Length: 656 Pages
• Weight: 2.42 lbs.
• Dimensions: 1.4" x 6.5" x 9.6"