MOMENTAN AUSVERKAUFT
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Product Identifiers
PublisherOxford University Press, Incorporated
ISBN-100195065611
ISBN-139780195065619
eBay Product ID (ePID)77061
Product Key Features
Number of Pages424 Pages
LanguageEnglish
Publication NameTensors and Manifolds : with Applications to Mechanics and Relativity
Publication Year1992
SubjectGeometry / Differential, Mechanics / General, General, Physics / Relativity, Physics / Mathematical & Computational
TypeTextbook
Subject AreaMathematics, Science
AuthorRobert H. Wasserman
FormatHardcover
Dimensions
Item Height1.4 in
Item Weight28.9 Oz
Item Length9.6 in
Item Width6.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN91-019271
Reviews1. Vector Spaces 2. Multilinear Mappings and Dual Spaces 3. Tensor Product Spaces 4. Tensors 5. Symmetric and Skew-symmetric Tensors 6. Exterior (Grassman) Algebra 7. The Tangent Map of Real Cartesian Spaces 8. Topological Spaces 9. Differentiable Manifolds 10. Submanifolds 11. Vector Fields, 1-forms, and Other Tensor Fields 12. Exterior Differentiation and Integration of Differential Forms 13. The Flow, and the Lie Derivative of a Vector Field 14. Integrability Conditions for Distributions and for Pfaffian Systems 15. Pseudo-Riemannian Geometry 16. Connection 1-forms 17. Connections on Manifolds 18. Mechanics 19. Additional Topics in Mechanics 20. A Spacetime 21. Some Physics on Minkowski Spacetime 22. Einstein Spacetimes 23. Spacetimes Near an Isolated Star 24. Nonempty Spacetimes, "First, the emphasis is placed on mathematical structures and all chaptersare built around them. . . Second, the text is highly interactive: problemsappear all the time and problems are turned into exercises. Third, the authordoes not shy away from . . . sending the reader to very precise references, withpage numbers. Finally, the book strikes a balance between background andadvanced topics, easy and difficult material, classical and modern methods, andtheory and application. . . . a valuable addition to the courses available inmanifold theory and tensor analysis." --SIAM Review, "Considering the complexity of the material, the tone is friendly; one can almost hear Wasserman lecturing. The presentation is rigorous without being pedantic. Excellent exercises. Highly recommended." --Choice, [A] nice and comprehensive introduction... The book is clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality... this work will certainly be appreciated by a wide audience., "A nice and comprehensive introduction. . .. clearly written andself-contained and, in particular, the author has succeeded in combiningmathematical rigor with a certain degree of informality in a satisfactory way. .. . this work will certainly be appreciated by a wide audience, and may berecommended especially to advanced physics and mathematics students andbeginning researchers." --Mathematical Reviews, "First, the emphasis is placed on mathematical structures and all chapters are built around them. . . Second, the text is highly interactive: problems appear all the time and problems are turned into exercises. Third, the author does not shy away from . . . sending the reader to very precisereferences, with page numbers. Finally, the book strikes a balance between background and advanced topics, easy and difficult material, classical and modern methods, and theory and application. . . . a valuable addition to the courses available in manifold theory and tensor analysis." --SIAMReview, "A nice and comprehensive introduction. . .. clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality in a satisfactory way. . . . this work will certainly be appreciated by a wide audience, and may berecommended especially to advanced physics and mathematics students and beginning researchers." --Mathematical Reviews, "Considering the complexity of the material, the tone is friendly; one canalmost hear Wasserman lecturing. The presentation is rigorous without beingpedantic. Excellent exercises. Highly recommended." --Choice
Dewey Edition20
IllustratedYes
Dewey Decimal530.1/5563
Table Of Content1. Vector Spaces2. Multilinear Mappings and Dual Spaces3. Tensor Product Spaces4. Tensors5. Symmetric and Skew-symmetric Tensors6. Exterior (Grassman) Algebra7. The Tangent Map of Real Cartesian Spaces8. Topological Spaces9. Differentiable Manifolds10. Submanifolds11. Vector Fields, 1-forms, and Other Tensor Fields12. Exterior Differentiation and Integration of Differential Forms13. The Flow, and the Lie Derivative of a Vector Field14. Integrability Conditions for Distributions and for Pfaffian Systems15. Pseudo-Riemannian Geometry16. Connection 1-forms17. Connections on Manifolds18. Mechanics19. Additional Topics in Mechanics20. A Spacetime21. Some Physics on Minkowski Spacetime22. Einstein Spacetimes23. Spacetimes Near an Isolated Star24. Nonempty Spacetimes
SynopsisThis book introduces the concepts of tensor algebras and differentiable manifolds to the intermediate-level student. It describes analytical and geometrical structures built on these basic concepts. Those structures -- which include differential forms and their integration, flows, Lie derivatives, distributions and their integrability conditions, connections, and pseudo-Riemannian and symplectic manifolds -- are then applied to the description of the fundamental ideas and Hamiltonian and Lagrangian mechanics, and special and general relativity. This book is designed to be accessible to the mathematics or physics student with a good standard undergraduate background, who is interested in obtaining a broader perspective of the rich interplay of mathematics and physics before deciding on a specialty.
LC Classification NumberQC20.7.C28W37 1992
