Advanced Algebra Teaching Plan for Postgraduate Entrance Exams (Peking University, Third Edition)

Author: Xu Zhong / Lu Quan
Publisher:
Publish Date: 2006-06-01
Features: Abstract Algebra is a crucial foundational course for mathematics majors. It plays a vital role in cultivating students' abstract thinking abilities, logical reasoning skills, and preparing them for subsequent courses. It is also a mandatory subject for the postgraduate entrance examination of mathematics departments. Abstract Algebra primarily consists of two parts: polynomials and linear algebra. Linear algebra is a foundational course for students in engineering and economics disciplines, accounting for a significant proportion in the mathematics section of the unified postgraduate entrance examination and being one of the essential exam topics. The characteristics of this course are its relatively abstract content, numerous concepts and theorems, close interconnections, and interwoven relationships. To help candidates deepen their understanding of the course material, master problem-solving methods and techniques, and improve their exam performance, we have compiled this book based on our long-standing experience in teaching Abstract Algebra and the teaching materials used in postgraduate entrance examination tutoring classes.