几何Ⅵ

几何Ⅵ pdf epub mobi txt 电子书 下载 2025

出版者:科学出版社
作者:波斯特尼科夫
出品人:
页数:503
译者:
出版时间:2009-1
价格:96.00元
装帧:精装
isbn号码:9787030235039
丛书系列:国外数学名著系列(影印版)
图书标签:
  • 数学 
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《国外数学名著系列(续一)(影印版)60:几何6(黎曼几何)》主要内容:This book treats that part of Riemannian geometry related to more classical topics in a very original,clear and solid style.Before going to Riemannian geometry,the author presents a more general theory of manifolds with a linear connection.Having in mind different generalizations of Riemannian manifolds,it is clearly stressed which notions and theorems belong to Riemannian geometry and which of them are of a more general nature.Much attention is paid to transformation groups of smooth manifolds.

Throughout the book,different aspects of symmetric spaces are treated.The author successfully combines the co-ordinate and invariant approaches to differential geometry,which give the reader tools for practical calculations as well as a theoretical understanding of the subject.The book contains a very useful large appendix on foundations of differentiable manifolds and basic structures on them which makes it self-contained and practically independent from other sources.

The results are well presented and useful for students in mathematics and theoretical physics,and for experts in these fields.The book can serve as a textbook for students doing geometry,as well as a reference book for professional mathematicians and physicists.

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