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Manifolds, Tensor Analysis, and Applications /

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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 mechan...

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Bibliographic Details
Main Author: Abraham, Ralph
Corporate Author: SpringerLink (Online service)
Other Authors: Marsden, Jerrold E., Ratiu, Tudor
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1988.
Edition:Second edition.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 75.
Subjects:
Mathematics.
Global analysis (Mathematics)
System theory.
Mathematical optimization.
Cell aggregation > Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xi, 656 pages)
ISBN:9781461210290 (electronic bk.)
1461210291 (electronic bk.)
ISSN:0066-5452 ;