Manifolds, tensor analysis, and applications
Manifolds, tensor analysis, and applications1983
About this book
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.
Details
- First published
- 1983
- OL Work ID
- OL2761013W
Subjects
Calculus of tensorsGlobal analysis (Mathematics)Manifolds (Mathematics)Globale AnalysisTenseurNichtlineare AnalysisAnalyse globale (Mathe matiques)Espace BanachDifferentialformCalcul diffe rentielFibre vectorielTopologieAnalyse tensorielleDynamisches SystemCalcul tensorielChamp vectorielMannigfaltigkeitVarie te .