王艳华，上海财经大学数学学院教授，博士生导师，主要从事非交换代数理论的研究工作。讲授的课程主要包括《抽象代数》《高等代数》《基础代数》《代数理论及其应用》《代数学》《线性代数》《数学模型》等。

Chapter 1 Sets
1.1 Set theory
1.2 Maps
1.3 Equivalence relations and equivalence classes
1.4 Factor sets
1.5 Number theory
1.6 The Chinese Remainder Theorem
拓展阅读·数学家的故事
Chapter 2 Groups
2.1 Definitions and examples
2.2 Subgroups
2.3 Cyclic groups
2.4 Permutation groups
2.5 Dihedral groups
拓展阅读·数学家的故事
Chapter 3 Properties of Groups
3.1 Cosets and Lagrange's Theorem
3.2 Normal subgroups and factor groups
3.3 Homomorphisms of groups
3.4 Isomorphisms of groups
3.5 Fundamental Isomorphism theorem of groups
3.6 Endmorphisms and automorphisms of groups
拓展阅读·数学家的故事
Chapter 4 Rings and Fields
4.1 Rings
4.2 Subrings and Ideals
4.3 Ring homomorphisms
4.4 Maximal ideals and prime ideals
4.5 Extension fields
4.6 Algebraic extensions
拓展阅读·数学家的故事
附录1 Chapter 1教学PPT
1.1 Set theory
1.2 Maps
1.3 Equivalence relations and equivalence classes
1.4 Factor sets
1.5 Number theory
1.6 The Chinese Remainder Theorem
附录2 Chapter 2教学PPT
2.1 Definitions and examples
2.2 Subgroups
2.3 Cyclic groups
2.4 Permutation groups
2.5 Dihedral groups
附录3 Chapter 3教学PPT
3.1 Cosets and Lagrange's Theorem
3.2 Normal subgroups and factor groups
3.3 Homomorphisms of groups
3.4 Isomorphisms of groups
3.5 Fundamental Isomorphism theorem of groups
3.6 Endmorphisms and automorphisms of groups
附录4 Chapter 4教学PPT
4.1 Rings
4.2 Subrings and Ideals
4.3 Ring homomorphisms
4.4 Maximal ideals and prime ideals
4.5 Extension fields
4.6 Algebraic extensions
References