| 书目名称 | Topology and Analysis | | 副标题 | The Atiyah-Singer In | | 编辑 | B. Booss,D. D. Bleecker | | 视频video | | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spi te of i ts difficulty and immensely rich interrela tions, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in th | | 出版日期 | Textbook 1985 | | 关键词 | Atiyah-Singersche Indexformel; Chern class; Finite; Microsoft Access; Riemann surface; Vector field; analy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-0627-6 | | isbn_softcover | 978-0-387-96112-5 | | isbn_ebook | 978-1-4684-0627-6Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York Inc. 1985 |
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发表于 2025-3-21 16:10:05
