| 書目名稱 | Catastrophe Theory | | 編輯 | Vladimir I. Arnold | | 視頻video | http://file.papertrans.cn/223/222503/222503.mp4 | | 圖書封面 |  | | 描述 | This well-known booklet, now in its third, expanded edition, provides an informal survey of applications of singularity theory in a wide range of areas. Although the first few chapters touch briefly (and critically) on theThom-Zeeman catastrophe theory, most of the book is concerned with more recent and less controversial aspects, covering such topics as: bifurcations and stability loss, wavefront propagation, the distribution of matter in the universe, optimization and control problems, visible contours,bypassing an obstacle, symplectic and contact geometry, complex singularities, and the surprising connections between singularities and widely disparate mathematical objects such as regular polyhedra and reflection groups. Readers familiar with the previous editions will find much that is new. Results have been brought up to date, and among the new or expanded topics discussed are delayed loss of stability, cascades of period doublings and triplings, shock waves, implicit differential equationsand folded singularities, interior scattering, and more. Three new sections give an overview of the history of singularity theory and its applications from Leonardo da Vinci to modern times, | | 出版日期 | Book 1992Latest edition | | 關(guān)鍵詞 | Bifurcations; Catastrophe Theory; Katastrophe (Math; ); Katastrophentheorie; Optimierungsprobleme; Optimiz | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-642-58124-3 | | isbn_softcover | 978-3-540-54811-9 | | isbn_ebook | 978-3-642-58124-3 | | copyright | Springer-Verlag Berlin Heidelberg 1992 |
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