君子之交淡如水,小人之交甘若醴。
--《庄子》
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代数曲线几何初步

《代数曲线几何初步》主要内容:General Background I first became involved in the teaching of geometry about twenty years ago,when my department introduced an optional second year course on the geometr

测度与范畴学

《测度与范畴学(第2版)》讲述了:This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality" between measure and category. The category method is illus

纤维丛

《纤维丛(第3版)》讲述了:The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950, the definition of fibre bundle had be

不动点理论导论

《不动点理论导论(英文版)》内容为:This book is intended as an introduction to fixed point theory and itsapplications. The topics treated range from fairly standard results (such asthe Principle of Co

大学代数几何

《大学代数几何(英文版)》内容为:There are several good recent textbooks on algebraic geometry atthe graduate level.but not(to my knowledge)any designed for anundergraduate course.Humble notes are

P进数,P进分析和ζ函数

《P进数,P进分析和ζ函数(第2版)(英文版)》讲述了:在数论,表示理论等许多现代数学研究领域中,p进分析占据着非常重要的地位。《P进数,P进分析和ζ函数(第2版)(英文版)》是p进分析的入门教材。主要分两部分内容,首先

调和分析基础教程

《调和分析基础教程(第2版)(英文版)》主要内容包括:Exponentials、The Bessel Inequality、Convergence in the L2-Norm、Uniform Convergence of Fourier Series 、Periodic Functions Revisited、Exercises 等。

黎曼-芬斯勒几何导论

This book project began as an attempt to sort through the literature on Finsler geometry. It was our intention to write a systematic account about that part of the material which is both elementary an

伽罗瓦理论

《伽罗瓦理论(第2版)(英文版)》是第二版,较第一版有很大的改进。证明更加清晰、详尽。由于多变形对称群和多项式的Galois群的相似性,书中以平面上的多边形对称群为开始。这种相似性可以帮助读者理解书中的有关理论

分析方法

数学主要讲述思想的方法,深入理解数学比掌握一大堆的定理、定义、问题和技术显得更为重要。理论和定义共同作用,《分析方法(修订版)(英文版)》在介绍实分析的时候结合详尽、广泛的阐释,使得读者完全理解分析基础和

有限元方法基础理论

有限元方法基础理论(第6版),ISBN:9787506292542,作者:(英)监凯维奇 著

霍普夫代数

《霍普夫代数(英文版)》内容为:If for instance, we replace the finite group G in the above argumentby a topological group and k by the field of real numbers or the field ofcomplex numbers, or if we tak

代数曲面和全纯向量丛

《代数曲面和全纯向量丛(英文版)》主要内容包括:An Introduction to Elliptic Surfaces、Singular fibers、Singulex fibers of elliptic fibrations、lnvariants and the canonical bundle formula、Elliptic surfa

紧黎曼曲面

《紧黎曼曲面(第3版)(英文版)》主要内容包括:Uniformization of Compact Riemann Surfaces Geometric Structures on Riemann Surfaces、Preliminaries: Cohomology and Homology Groups、Harmonic and Holomorphic

分圆域

《分圆域(第2版)(英文版)》讲述了:Kummer's work on cyclotomic fields paved the way for the development ofalgebraic number theory in general by Dedekind, Weber, Hensel, Hilbert,Takagi, Artin and others.