This work introduces the theory and practice of differential forms on manifolds and overviews the concept of differentiable manifolds, assuming a minimum of knowledge in linear algebra, calculus, and elementary topology. Chapters cover manifolds, differential forms, the de Rham theorem, Laplacian and harmonic forms, and vector and fiber bundles and characteristic classes. The text includes exercises and answers. First published in Japanese by Iwanami Shoten, Publishers, Tokyo, 1997, 1998. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Book by Shigeyuki Morita
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Condizione: Good. Ships from the UK. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo 52790506-20
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Paperback. Condizione: As New. Series: Translations of Mathematical Monographs. xxiv 321p paperback, burgundy and navy binding, minor wear to covers, a fresh and clean copy, no names or stamps, no traces of use, excellent condition, like new, previous owner's ephemera inserted Language: English. Codice articolo 232784
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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems. Series: Translations of Mathematical Monographs. Num Pages: 352 pages, index, references. BIC Classification: PBKJ; PBMP; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 215 x 143 x 19. Weight in Grams: 430. . 2001. Paperback. . . . . Codice articolo V9780821810453
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Paperback. Condizione: New. Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. This book is a comprehensive introduction to differential forms. It begins with a quick presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems.The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated in the book is a detailed description of the Chern-Weil theory. With minimal prerequisites, the book can serve as a textbook for an advanced undergraduate or a graduate course in differential geometry. Codice articolo LU-9780821810453
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Paperback. Condizione: New. Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. This book is a comprehensive introduction to differential forms. It begins with a quick presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems.The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated in the book is a detailed description of the Chern-Weil theory. With minimal prerequisites, the book can serve as a textbook for an advanced undergraduate or a graduate course in differential geometry. Codice articolo LU-9780821810453
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Condizione: New. Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rh. Codice articolo 758826840
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Condizione: New. Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems. Series: Translations of Mathematical Monographs. Num Pages: 352 pages, index, references. BIC Classification: PBKJ; PBMP; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 215 x 143 x 19. Weight in Grams: 430. . 2001. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821810453
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