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.
發表於2024-12-25
Manifolds, Tensor Analysis, and Applications 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 計算機 tensor_analysis differential_geometry
Manifolds, Tensor Analysis, and Applications 2024 pdf epub mobi 電子書 下載