An edition of Manifolds, tensor analysis, and applications
(1983)
Manifolds, tensor analysis, and applications
by Ralph Abraham
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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 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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Previews available in: English
Subjects
Calculus of tensors, Global analysis (Mathematics), Manifolds (Mathematics), Globale Analysis, Tenseur, Nichtlineare Analysis, Analyse globale (Mathe matiques), Espace Banach, Differentialform, Calcul diffe rentiel, Fibre vectoriel, Topologie, Analyse tensorielle, Dynamisches System, Calcul tensoriel, Champ vectoriel, Mannigfaltigkeit, Varie te ., Tensoranalysis, Varie te s (Mathe matiques), Varie te diffe rentiable, Forme diffe rentielle, Tensorrechnung, Variété, Analyse globale (Mathématiques), Forme différentielle, Calcul différentiel, Variété différentiable, Variétés (Mathématiques), Fibré vectoriel, Physics, Manifolds and Cell Complexes (incl. Diff.Topology), Mathematics, System theory, Mathematical optimization, Cell aggregation, Analysis, Mathematical and Computational Physics Theoretical, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization| Edition | Availability |
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1
Manifolds, Tensor Analysis, and Applications
Oct 17, 2012, Springer
paperback
1461269903 9781461269908
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2
Manifolds, Tensor Analysis, and Applications
2012, Springer London, Limited
in English
1461210291 9781461210290
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3
Manifolds, Tensor Analysis, and Applications
Oct 20, 2011, Springer
paperback
1461210305 9781461210306
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4
Manifolds, tensor analysis, and applications
1988, Springer-Verlag
in English
- 2nd ed.
0387967907 9780387967905
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5
Manifolds, tensor analysis, and applications
1983, Addison-Wesley
in English
0201101688 9780201101683
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Book Details
Edition Notes
Bibliography: p. 562-570.
Includes index.
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- Created April 1, 2008
- 14 revisions
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| December 16, 2024 | Edited by MARC Bot | import existing book |
| December 9, 2022 | Edited by MARC Bot | import existing book |
| July 17, 2022 | Edited by ImportBot | import existing book |
| October 21, 2020 | Edited by MARC Bot | import existing book |
| April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |