| 书目名称 | Stable Mappings and Their Singularities |
| 编辑 | Martin Golubitsky,Victor Guillemin |
| 视频video | |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for Rn ~ R. It was Rene Thorn who noticed (in the late ‘50‘s) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and Harold Levine (reprinted in [42]) gave the first general exposition of this theory. However, these notes preceded the work of Bernard Malgrange [23] on what is now known as the Malgrange Preparation Theorem-which allows the relatively easy computation of normal forms of stable singularities as well as the proof of the main theorem in the subject-and the definitive work of John Mather. More recently, two survey articles have appeared, by Arnold [4] and Wall [53], which have done much to codify the new material; still there is no totally accessible description of this subject for the beginn |
| 出版日期 | Textbook 1973 |
| 关键词 | Immersion; Mappings; Submersion; Umbilical point; manifold |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4615-7904-5 |
| isbn_softcover | 978-0-387-90073-5 |
| isbn_ebook | 978-1-4615-7904-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York Inc. 1973 |
发表于 2025-3-21 17:04:57
