Manifolds, Tensor Analysis, and Applications
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Beschreibung
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.
Autor*in
Ralph Abraham
Themen in »Manifolds, Tensor Analysis, and Applications«
Derivative Electromagnetism Hodge star operator Implicit function Riemannian geometry calculus compactness exterior derivative manifold