Geometry of Differential Forms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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[日] Shigeyuki Morita 作者

American Mathematical Society

译者

2001-8-28 出版日期

321 页数

USD 66.00 价格

Paperback

Translations of Mathematical Monographs 丛书系列

9780821810453 图书编码

Geometry of Differential Forms 在线电子书图书标签: 数学 geometry 数学-微分形式数学-微分几何微分几何代数拓扑7 the_magic_whip mathematics

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发表于2024-11-22

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Geometry of Differential Forms 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Geometry of Differential Forms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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评分☆☆☆☆☆

相对概括和有趣(大概)，注重一些实在的东西，不过要深入地学还需要阅读其他材料。以及要老老实实准备下周pre了orz

评分☆☆☆☆☆

前半本是流形基础，不太适合作为流形的自学教材。后半本可读性极佳。

评分☆☆☆☆☆

相对概括和有趣(大概)，注重一些实在的东西，不过要深入地学还需要阅读其他材料。以及要老老实实准备下周pre了orz

评分☆☆☆☆☆

这本书太好看了！类似janich的拓扑，extremely easy ,insightful and informative. 奇怪的事janich自己那本讲流形的却相当不怎么样。

评分☆☆☆☆☆

前半本是流形基础，不太适合作为流形的自学教材。后半本可读性极佳。

Geometry of Differential Forms 在线电子书著者简介

森田茂之，1976年获东京大学博士学位。

Geometry of Differential Forms 在线电子书图书目录

Geometry of Differential Forms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Geometry of Differential Forms 在线电子书图书描述

Since the times of Gauss, Riemann, and Poincaré, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory.

The book can serve as a textbook for undergraduate students and for graduate students in geometry.

Geometry of Differential Forms 在线电子书下载 mobi epub pdf txt 在线电子书下载

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