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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Zustand: 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. Artikel-Nr. V9780821810453
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