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Geometry of Differential Forms 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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[日] Shigeyuki Morita 作者

American Mathematical Society

譯者

2001-8-28 出版日期

321 頁數

USD 66.00 價格

Paperback

Translations of Mathematical Monographs 叢書系列

9780821810453 圖書編碼

Geometry of Differential Forms 在線電子書圖書標籤: 數學 geometry 數學-微分形式數學-微分幾何微分幾何代數拓撲7 the_magic_whip mathematics

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發表於2024-12-23

Geometry of Differential Forms 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Geometry of Differential Forms 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Geometry of Differential Forms 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Geometry of Differential Forms 在線電子書用戶評價

評分☆☆☆☆☆

前半本是流形基礎，不太適閤作為流形的自學教材。後半本可讀性極佳。

評分☆☆☆☆☆

相對概括和有趣(大概)，注重一些實在的東西，不過要深入地學還需要閱讀其他材料。以及要老老實實準備下周pre瞭orz

評分☆☆☆☆☆

前半本是流形基礎，不太適閤作為流形的自學教材。後半本可讀性極佳。

評分☆☆☆☆☆

這本書太好看瞭！類似janich的拓撲，extremely easy ,insightful and informative. 奇怪的事janich自己那本講流形的卻相當不怎麼樣。

評分☆☆☆☆☆

前半本是流形基礎，不太適閤作為流形的自學教材。後半本可讀性極佳。

Geometry of Differential Forms 在線電子書著者簡介

森田茂之，1976年獲東京大學博士學位。

Geometry of Differential Forms 在線電子書著者簡介

Geometry of Differential Forms 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Geometry of Differential Forms 在線電子書圖書描述

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 在線電子書下載 mobi epub pdf txt 在線電子書下載

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