| 书目名称 | The Riemann Legacy | | 副标题 | Riemannian Ideas in | | 编辑 | Krzysztof Maurin | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold . Riemann was a master at applying this principle and also the first who noticed and emphasized that a meromorphic function is determined by its ‘singularities‘. Therefore he is rightly regarded as the father of the huge ‘theory of singularities‘ which is developing so quickly and whose importance (also for physics) can hardly be overe~timated. Amazing and mysterious for our cognition is the role of Euclidean space. Even today many philosophers believe (following Kant) that ‘real space‘ is Euclidean and other spaces being ‘abstract constructs of mathematicians, should not be called spaces‘. The thesis is no longer tenable - the whole of physics testifies to that. Nevertheless, there is a grain of truth in the 3 ‘prejudice‘: E (three-dimensional Euclidean space) is special in a particular way pleasantly familiar to us - in it we (also we mathematicians!) feel particularly ‘confident‘ and move with a sense of greater ‘safety‘ than in non-Euclidean spaces. For this reason perhaps, Riemann space M stands out among the multitude of ‘interesting geometries‘. For it is: | | 出版日期 | Book 1997 | | 关键词 | Mathematica; Riemann surface; Volume; algebra; complex geometry; energy; fields; geometry; mathematics; numbe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8939-0 | | isbn_softcover | 978-90-481-4876-9 | | isbn_ebook | 978-94-015-8939-0 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 19:37:27
