前言
Special Notation
Chapter 1 Rudiments
1.1 Sets
1.2 Mappings
1.3 Relations and Operations
1.4 Reading Materials
1.5 Exercises
Chapter 2 Groups
2.1 Introduction to Groups
2.2 Working with Groups
2.3 More on Group Structure
2.4 Reading Materials
2.5 Exercises
Chapter 3 Rings
3.1 Basic Ring Structure
3.2 Ring Substructures
3.3 Specialized Rings
3.4 Working with Rings
3.5 Reading Materials
3.6 Exercises
Chapter 4 Modules
4.1 Ring of Endomorphisms of an Abelian Group
4.2 Modules over Rings
4.3 Fundamental Concepts and Results
4.4 Free Modules
4.5 Direct Sum of Modules
4.6 Finitely Generated Modules over Principal Ideal Domains
4.7 Rational Canonical Form and Jordan Canonical Form
4.8 Reading Materials
4.9 Exercises
Bibliography