This 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...
Robert H. Wasserman is at University of Michigan (Emeritus).
"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
"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...
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hardcover. Condition: Very Good. This book is in very good condition. Seller Inventory # 139758
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Seller: Grey Matter Books, Hadley, MA, U.S.A.
Hardcover. Condition: Very Good. Dust Jacket Condition: None Issued. Text is unmarked; pages are bright. Binding is sturdy. Covers show some light wear around the corners. No dust jacket, as issued. Seller Inventory # 069001
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Seller: S. Howlett-West Books (Member ABAA), Modesto, CA, U.S.A.
Hardcover. Condition: Very Good+. 1st Edition; 1st Printing. Graphs; This book is in Very Good+ condition and was issued without a dust jacket. The book and its contents are in generally clean, bright condition. The text pages are mostly clean and bright. The first third of the book has some ghosts of notations carefully written by a previous owner (written in very neat pencil and mostly erased). "This book is based on courses taken by advanced undergraduate and beginning graduate studens in mathematics and physics at Michigan State University. The courses were intended to present an introduction to the expanse of modern mathematics and its application in Modern physics. The book gives an introductory perspective to young students intending to go into a field of pure mathematics, and who, with the usual pigeon-holed graduate curriculum, will not get an overall perspective for several years, much less any idea of application." (from the introduction). Seller Inventory # A46443
Quantity: 1 available