| 书目名称 | Dynamical Systems VIII | | 副标题 | Singularity Theory I | | 编辑 | V. I. Arnol’d | | 视频video | | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | In the first volume of this survey (Arnol‘d et al. (1988), hereafter cited as "EMS 6") we acquainted the reader with the basic concepts and methods of the theory of singularities of smooth mappings and functions. This theory has numerous applications in mathematics and physics; here we begin describing these applica tions. Nevertheless the present volume is essentially independent of the first one: all of the concepts of singularity theory that we use are introduced in the course of the presentation, and references to EMS 6 are confined to the citation of technical results. Although our main goal is the presentation of analready formulated theory, the readerwill also come upon some comparatively recent results, apparently unknown even to specialists. We pointout some of these results. 2 3 In the consideration of mappings from C into C in§ 3. 6 of Chapter 1, we define the bifurcation diagram of such a mapping, formulate a K(n, 1)-theorem for the complements to the bifurcation diagrams of simple singularities, give the definition of the Mond invariant N in the spirit of "hunting for invariants", and we draw the reader‘s attention to a method of constructing the image of a mapping fr | | 出版日期 | Book 1993 | | 关键词 | Bifurkationsmengen; Maxwellmannigfaltigkeiten; Singularitäten von Funktionen und Abbildungen; Singulari | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-06798-7 | | isbn_softcover | 978-3-642-08101-9 | | isbn_ebook | 978-3-662-06798-7Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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发表于 2025-3-21 16:12:54
