Solving Problems in Advanced Algebra

Author: Xu Fuhua
Publisher:
Publish Date: 2005-11-01
Features: This book is a reference and tutorial for learning advanced algebra and linear algebra, with systematic and in-depth content. In terms of content organization, it is based on the chapters of Tsinghua University's "Advanced Algebra" (authored by Zhang Xianke and Xu Fuhua, 2nd edition, 2004). The content includes: systematic linear algebra, theory of numbers and polynomials, an introduction to modern algebra, transformation groups (groups), orthogonal geometry and symplectic geometry, Hilbert spaces, tensor products and exterior products, etc., totaling 12 chapters. Each chapter includes: introduction to concepts and theorems; analysis and summary of problem-solving methods; detailed analysis and solutions to all exercises in "Advanced Algebra" (2nd edition); supplementary problems and solutions. The book incorporates the long-term teaching experience and research insights of the authors from the mathematics departments and non-mathematics departments of the University of Science and Technology of China and Tsinghua University. This book is suitable for students of various universities to refer to when learning and reviewing advanced algebra or linear algebra, as well as for those preparing for various exams (e.g., graduate entrance exams) and science and technology professionals studying algebraic knowledge.