Introductory Course in Advanced Algebra. Volume 2

Author: Lan Yizhong
Publisher:
Publish Date: 2003-02-01
Features: This book is a teaching material for the "Advanced Algebra" course in comprehensive universities and normal universities. Based on over 30 years of teaching experience, the authors, in repeated consultations with multiple experts, have systematically and comprehensively reformed the advanced algebra textbook. This textbook has two main features: First, it closely aligns with the actual needs of classroom teaching and self-study, meticulously designed with multiple levels, progressing from simple to complex, from concrete to abstract, and from vivid intuition to rational reasoning, allowing students to smoothly enter the abstract realm of algebra. The second feature is that it takes the research objects, fundamental ideas, and basic methods of algebra as the main thread of the entire book. All content, including the proofs of some fundamental theorems, is arranged according to this principle, ensuring that students receive sufficient algebraic training, achieving adequate depth and height in theory. Its scientific content meets the standards expected of a modern algebra introductory course textbook. This book can serve as a teaching material or reference for students in mathematics, mechanics, and applied mathematics departments of comprehensive universities and higher normal universities, as well as for science and engineering students. It is also an excellent teaching reference or study guide for young teachers and mathematicians.