Visual geometry and topology
Visual geometry and topology
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视觉几何和拓扑
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
A. Fomenko
中科院分区：
文献类型：
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作者：
A. Fomenko
几何学和拓扑学是由具有某些特殊特征的理想对象的可视化强烈推动的。这本书的主要目的是叙述，在一个方便和相当直观的语言，一些经典和现代的成就几何和拓扑结构在两个内在的数学问题和应用数学物理。这本书从经典的拓扑概念开始，并以新的结果在哈密顿几何结束。作者对问题和结果进行了直观的解释，而没有诉诸计算的抽象逻辑方面。这本书包括许多图形表绘制的作者，这说明了数学思想和结果中所载的书。利用这些图片，读者可以了解许多现代数学思想和方法。
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.