It has some meaning to the teaching of Modern Algebra.
对《近世代数》的教学具有一定的指导意义。
The reader should be familiar with the basic concepts of modern algebra.
读者应与现代代数的基本概念。
In mathematical terms, modern algebra is a set of objects with rules for connecting or relating those objects.
在数学术语里，现代袋鼠是一系列带有规则的客体的集合。而这些规则是关联这些客体的。
But the group theory is in the algebra is most ancient one of richest branches, is the modern algebra foundation.
而群论是代数学中最古老最丰富的分支之一，是近世代数的基础。
I had to take a few extra courses during the next year, and I chose reading courses in modern algebra and differential equations for the summer afterwards.
在接下来的一年里我不得不上额外的几门课程，我选择在接下来的暑假修完近世代数和微分方程。
The paper also gives some corrections to several theorems and their proofs about the dimension of the modular lattice ih the books" Modern Algebra" by Wu and "Abstract Algebra" by Xu.
并对“近世代数”（吴品三）、“抽象代数”（徐诚浩）中有关模格维数几个定理证明的遗漏，作了某些补证。
Shannon 's 1938 master's thesis, A Symbolic Analysis of Relay and Switching Circuits , used Boolean algebra to establish the theoretical basis of modern digital circuits.
香农写于1938年的硕士论文，“继电器与开关电路的符号分析”，应用布尔代数建立现代数字电路的理论基础。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.
模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。
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.
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.
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。
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