我始终没有真正地领会代数学在几何学上的应用。
I have never got so far as to understand properly the application of algebra to geometry.
以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头，是古代数学公理化方法的一个辉煌成就。
Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
大体而言，他的理论基于以下几种学科：古代数学、几何学、占数学和占星学。
In general, his theories are based on the followings: ancient mathematics, geometry, numerology and astrology.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
许多申请被描述，包括象代数学的几何学和金融市场一样不同的领域。
Numerous applications are described, covering fields as disparate as algebraic geometry and financial markets.
向量是近代数学最基本的概念之一，它具有代数形式和几何形式的“双重身份”，是沟通几何、代数、三角等内容的桥梁。
The vector is one of the most basic concepts in modern mathematics, it has a "dual status" - "Algebra form" and "geometry form". It is a bridge to link up the contents of geometry.
直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。
Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.
直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。
Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.
应用推荐