Manifolds, Tensor Analysis, and Applications (Applied Mathematical Sciences)

出版者:Springer

作者:Ralph Abraham

页数:667

出版时间:1993-08-13

价格:USD 89.95

装帧:Hardcover

isbn号码:9780387967905

丛书系列:Applied Mathematical Sciences

图书标签:数学张量分析流形向量分析张量

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.