Solving Problems in Advanced Algebra - (2nd Edition)

Author: Xu Fuhua, Zhang Xianke (editors)
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 each chapter of the Tsinghua University edition of "Advanced Algebra" (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 at the University of Science and Technology of China and Tsinghua University. This book is suitable for students at various universities as a reference for learning and reviewing advanced algebra or linear algebra, as well as for those preparing for various exams (e.g., postgraduate entrance exams) and science and technology professionals studying algebraic knowledge.