书目名称 | Visual Geometry and Topology |
编辑 | Anatolij T. Fomenko |
视频video | http://file.papertrans.cn/984/983727/983727.mp4 |
图书封面 |  |
描述 | Geometry and topology are strongly motivated by thevisualization of idealobjects that have certain specialcharacteristics. A clear formulation of a specific propertyor a logically consistent proof of a theorem oftencomesonly after the mathematician has correctly "seen" what isgoing on. These pictures which are meant to serve assignposts leading to mathematical understanding, frequentlyalso contain a beauty of their own.The principal aim of this book is to narrate, in anaccessible and fairly visual language, about some classicaland modern achievements of geometry and topology in bothintrinsic mathematical problems and applications tomathematical physics. The book starts from classicalnotionsof topology and ends with remarkable new results inHamiltonian geometry. Fomenko lays special emphasis uponvisual explanations of the problems and results anddownplays the abstract logical aspects ofcalculations. Asan example, readers can very quickly penetrate into thenewtheory of topological descriptions of integrableHamiltoniandifferential equations. The book includes numerousgraphicalsheets drawn by the author, which are presented inspecialsections of "Visual material". These pictures illustr |
出版日期 | Book 1994 |
关键词 | Hamiltonian Systems; Hamiltonsche Systeme; Integrable Systems; Integrierbare Systeme; Visual Geometry; Vi |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-76235-2 |
isbn_softcover | 978-3-642-76237-6 |
isbn_ebook | 978-3-642-76235-2 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |