Manifolds, Tensor Analysis, and Applications (Applied Mathematical Sciences, 75)

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

ISBN 10: 0387967907 / ISBN 13: 9780387967905

Edité par Springer, 1988

A propos de cet article

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Détails bibliographiques

• Titre: Manifolds, Tensor Analysis, and Applications (Applied Mathematical Sciences, 75)
• Éditeur: Springer
• Date de parution: 1988
• Langue: anglais
• ISBN à 10 chiffres: 0387967907
• ISBN à 13 chiffres: 9780387967905
• Reliure: Hardcover
• Édition: 2ème Édition
• État de l'article: Good

A propos de ce titre

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.