Advanced Algebra

Author: Zhang Huerui
Publisher:
Publish Date: 2002-03-01
Features: This book is revised based on the third edition. The rewritten content mainly includes sections 7.6, 8.4, 9.1, 9.2, and 9.3. The rewritten content is more accessible. Two additional sections introducing the Euclidean space are added after Chapter 8. As a result, the chapters of this book (4th edition) are as follows: Chapter 1, Basic Concepts; Chapter 2, Polynomials; Chapter 3, Determinants; Chapter 4, Systems of Linear Equations; Chapter 5, Matrices; Chapter 6, Vector Spaces; Chapter 7, Linear Transformations; Chapter 8, Euclidean Spaces; Chapter 9, Quadratic Forms; Chapter 10, An Introduction to Groups, Rings, and Fields. The appendix discusses the decomposition of vector spaces and the Jordan canonical form of matrices.