幾何Ⅵ

幾何Ⅵ pdf epub mobi txt 電子書 下載2025

出版者:科學齣版社
作者:波斯特尼科夫
出品人:
頁數:503
译者:
出版時間:2009-1
價格:96.00元
裝幀:精裝
isbn號碼:9787030235039
叢書系列:國外數學名著係列(影印版)
圖書標籤:
  • 數學 
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《國外數學名著係列(續一)(影印版)60:幾何6(黎曼幾何)》主要內容: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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