黎曼曲面 pdf epub mobi txt 电子书下载 2024

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H.M.Farkas

世界图书出版公司

2003-9

363

34.00元

简裝本

Graduate Texts in Mathematics

9787506259477

图书标签: 黎曼曲面 GTM 数学黎曼面微分几何7 几何 CV

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发表于2024-05-13

黎曼曲面 epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

黎曼曲面 pdf epub mobi txt 电子书下载 2024

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It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) and young physicists who have been convinced (certainly not by mathematicians) that compact Riemann surfaces may play an important role in their (string) universe. We hope that non-mathematicians as well as mathematicians (working in nearby areas to the central topic of this book) will also learn part of this subject for the sheer beauty and elegance of the material (work of Weierstrass, Jacobi, Riemann, Hilbert, Weyl) and as healthy exposure to the way (some) mathematicians write about mathematics.

　　本书为英文版。

黎曼曲面下载 mobi epub pdf txt 电子书

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黎曼曲面 pdf epub mobi txt 电子书下载

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单连通有限黎曼曲面到单位圆盘上共形映射问题等价于寻求对于黎曼曲面的格林函数问题；数学最重要的工作就是寻找同义词工作就像狄利克雷问题的高维推广就是hodge定理，庞加莱对偶的亲戚就是serre对偶阿贝函数和theta函数和雅可比逆问题之间的关系；空间的拓扑和性质取决于空间函数环的性质这个研究黎曼曲面的基本方法：亚纯微分，亚纯函数，亚调和函数决定了空间的拓扑和性质这个是这本书的一个核心课题。类比于希尔伯特零点定理，零函数在理想中；黎曼的原则：整体的解析函数性质被零点决定，而亚纯函数性质被零点和极点决定。第三个关键点就是阿贝函数的分析性质和几何嵌入的语言之间的翻译本书关于黎曼罗赫公式的讲解的本质是代数中单变量代数函数的性质

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