微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載


微分流形和黎曼流形

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微分流形和黎曼流形 pdf epub mobi 著者簡介

Serge Lang (May 19, 1927 – September 12, 2005) was a French-born American mathematician. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group.

Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated from the California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951. He held faculty positions at the University of Chicago and Columbia University (from 1955, leaving in 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University.


微分流形和黎曼流形 pdf epub mobi 圖書描述

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones.

  本書為英文版。

微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載

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微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載

微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載

微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載



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出版者:世界圖書齣版公司
作者:S.lang
出品人:
頁數:364
譯者:
出版時間:1998-3
價格:57.00元
裝幀:簡裝本
isbn號碼:9787506236164
叢書系列:Graduate Texts in Mathematics

圖書標籤: 黎曼幾何  數學   


微分流形和黎曼流形 2024 pdf epub mobi 電子書 下載
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