Manifolds, Tensor Analysis, and Applications - Couverture souple

Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor

 
9781461269908: Manifolds, Tensor Analysis, and Applications

Synopsis

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.

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Présentation de l'éditeur

This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.