圖書標籤: 數學 GTM 幾何與拓撲 geometry 微分幾何 研究 微分幾何7 幾何
发表于2024-12-23
Differential Geometry pdf epub mobi txt 電子書 下載 2024
This book is an introduction to modern differential geometry. The authors begin with the necessary tools from analysis and topology, including Sard's theorem, de Rham cohomology, calculus on manifolds, and a degree theory. The general theory is illustrated and expanded using the examples of curves and surfaces. In particular, the book contains the classical local and global theory of surfaces, including the fundamental forms, curvature, the Gauss-Bonnet formula, geodesics, and minimal surfaces.
作者:(法國)M.貝爾熱 (法國)B.戈斯丟
M.貝爾熱 Marcel Berger(1927 ),著名的法國數學傢,法國微分幾何老前輩。曾任法國科學高等研究所(1HES)所長。貝爾熱教授撰寫過多本成功的幾何著作,並以書中的精巧論述而見長。
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Differential Geometry pdf epub mobi txt 電子書 下載 2024