Riemannian Geometry (Graduate Texts in Mathematics)

Riemannian Geometry (Graduate Texts in Mathematics) pdf epub mobi txt 電子書 下載2025

出版者:Springer
作者:Peter Petersen
出品人:
頁數:424
译者:
出版時間:2006-08-09
價格:USD 59.95
裝幀:Hardcover
isbn號碼:9780387292465
叢書系列:
圖書標籤:
  •  
想要找書就要到 本本書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject.</P>

</P>

Important additions to this new edition include:</P>

</P>

* A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise;</P>

</P>

* An increased number of coordinate calculations of connection and curvature;</P>

</P>

* General fomulas for curvature on Lie Groups and submersions;</P>

</P>

* Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger;</P>

</P>

* Several recent results about manifolds with positive curvature.</P>

</P>

</P>

From reviews of the first edition:</P>

</P>

"The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting </P>

achievements in Riemannian geometry. It is one of the few comprehensive sources of this type."</P>

</P>

- Bernd Wegner, Zentralblatt</P>

具體描述

讀後感

評分

評分

評分

評分

評分

用戶評價

评分

评分

评分

评分

评分

本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 onlinetoolsland.com All Rights Reserved. 本本书屋 版权所有