This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive ...
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This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard's theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
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New in new dust jacket. Sewn binding. Cloth over boards. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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New in new dust jacket. Sewn binding. Cloth over boards. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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New in new dust jacket. Sewn binding. Cloth over boards. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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New in new dust jacket. Trade paperback (US). Glued binding. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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Seller's Description:
New in new dust jacket. Trade paperback (US). Glued binding. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New in new dust jacket. Trade paperback (US). Glued binding. 708 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 218. Audience: General/trade. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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