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Cover Art
Author Abraham, Ralph.

Title Manifolds, Tensor Analysis, and Applications [electronic resource] / by Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu.

Published New York, NY : Springer New York, 1988.


Location Call No. Status
Edition Second edition.
Physical description 1 online resource (xi, 656 pages).
Series Applied Mathematical Sciences, 0066-5452 ; 75
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 75.
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.
Other author Marsden, Jerrold E.
Ratiu, Tudor.
Subject Mathematics.
Global analysis (Mathematics)
Systems theory.
Mathematical optimization.
Cell aggregation -- Mathematics.
Electronic books.
ISBN 9781461210290 (electronic bk.)
1461210291 (electronic bk.)