紧黎曼曲面引论 (An Introduction to Riemann Surfaces)
ebook ∣ 现代数学基础 (Fundamentals of Modern Mathematics)
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本书主要讨论紧黎曼曲面,中心是Riemann-Roch定理的证明及其应用,因为黎曼曲面是近代数学不少分支的最简单的模型。本书在讨论中采用了一些必要的近代数学的概念与方法作为工具。
This book mainly discusses Riemann surfaces, with a focus on the proving and applications of the Riemann-Roch theorem. With a series of modern mathematics concepts and methods as tools, the book can serve as an introduction to many aspects of modern mathematics, and as a recommended reference book for senior students, graduates, teachers, and other professionals in mathematics.
