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Manifolds, tensor analysis and applications, 2nd Ed. (POD) (2nd Ed., 2nd ed. 1988. Softcover reprint of the original 2nd ed. 1988) Applied Mathematical Sciences Series, Vol. 75

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Manifolds, tensor analysis and applications, 2nd Ed. (POD)
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.
Preface * Background Notation * Chapter 1 Topology * Chapter 2 Banach Spaces and Differential Calculus * Chapter 3 Manifolds and Vector Bundles * Chapter 4 Vector Fields and Dynamical Systems * Chapter 5 Tensors * Chapter 6 Differential Forms * Chapter 7 Integration on Manifolds * Chapter 8 Applications * References * Index * Supplementary Chapters * S-1 Lie Groups * S-2 Introduction to Differential Topology * S-3 Topics in Riemannian Geometry

Date de parution :

Ouvrage de 654 p.

15.5x23.5 cm

Sous réserve de disponibilité chez l'éditeur.

Prix indicatif 105,49 €

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