Visual geometry and topology
著者
書誌事項
Visual geometry and topology
Springer-Verlag, c1994
- : Berlin
- : New York
- タイトル別名
-
Naglyadnaya geometriya i topologia
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注記
Translation of:Naglyadnaya geometriya i topologia, Moscow University Press, 1993 (abridged version)
Includes bibliographical references
内容説明・目次
内容説明
Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. The principal aim of this book is to narrate, in an accessible and fairly visual language, some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with new results in Hamiltonian geometry. The author gives visual explanations of the problems and results, without recourse to the abstract logical aspects of calculations. The book includes numerous graphical sheets drawn by the author, which illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods.
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