Advanced Algebra

Author: Zhang Xianke / Xu Fuhua (editors)
Publisher:
Publish Date: 2004-07-01
Features: This book primarily covers linear algebra, including numbers and polynomials, determinants, systems of linear equations, matrices, linear spaces, quadratic forms, linear transformations, space decomposition, matrix similarity, Euclidean spaces and unitary spaces, bilinear forms. Optional topics include orthogonal geometry and symplectic geometry, Hilbert spaces, tensor products and exterior products, etc. The content is relatively profound, providing readers with a strong foundation; the perspective is modern, helping readers adapt to contemporary mathematics. Additionally, there are several introductory sections. It can serve as a textbook for mathematics, physics, computer science, and electronic information engineering, among other disciplines, or be used as a reference for other fields. The book was written based on the authors' long-term teaching experience and research in algebra at the University of Science and Technology of China and Tsinghua University. It references several renowned international textbooks and includes a wealth of examples and exercises of varying difficulty. The book provides answers and hints, appendices, a bilingual name index (Chinese-English), and a bibliography.