Title: Manifolds, tensor analysis, and applications
First published: 1983
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.
Subjects: Calculus of tensors, Global analysis (Mathematics), Manifolds (Mathematics), Globale Analysis, Tenseur, Nichtlineare Analysis, Analyse globale (Mathe matiques), Espace Banach, Differentialform, Calcul diffe rentiel, Fibre  vectoriel, Topologie, Analyse tensorielle, Dynamisches System, Calcul tensoriel, Champ vectoriel, Mannigfaltigkeit, Varie te ., Tensoranalysis, Varie te s (Mathe matiques), Varie te  diffe rentiable, Forme diffe rentielle, Tensorrechnung, Variété, Analyse globale (Mathématiques), Forme différentielle, Calcul différentiel, Variété différentiable, Variétés (Mathématiques), Fibré vectoriel, Physics, Manifolds and Cell Complexes (incl. Diff.Topology), Mathematics, System theory, Mathematical optimization, Cell aggregation, Analysis, Mathematical and Computational Physics Theoretical, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization