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


Geometry of Differential Forms

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[日] Shigeyuki Morita
American Mathematical Society
2001-8-28
321
USD 66.00
Paperback
Translations of Mathematical Monographs
9780821810453

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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发表于2024-12-23

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

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

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



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 下載 mobi epub pdf txt 電子書

著者簡介

森田茂之,1976年獲東京大學博士學位。


圖書目錄


Geometry of Differential Forms pdf epub mobi txt 電子書 下載
想要找書就要到 小哈圖書下載中心
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

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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。

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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

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

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

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