Introduction to Modern Algebra

Author: Feng Keqin et al.
Publisher:
Publish Date: 2002-03-01
Features: Modern algebra is a fundamental discipline in algebra, focusing on the properties of algebraic structures. This book systematically introduces the basic knowledge of groups, rings, and fields (including the theory of finite Galois extensions of fields) and also strives to emphasize the ideas and methods in modern algebra. It contains a large number of exercises. In addition to the main content, some appendices are included to expand and deepen the learned material. This book is revised and written based on lecture notes used for many years at the University of Science and Technology of China. It can be used as a textbook for foundational courses in mathematics departments of higher education institutions, and can also serve as a reference for mathematicians and engineering technicians in fields such as communication, computer science, and others. Modern algebra is a fundamental discipline in algebra, focusing on the properties of algebraic structures. This book systematically introduces the basic knowledge of groups, rings, and fields (including the theory of finite Galois extensions of fields) and also strives to emphasize the ideas and methods in modern algebra. It contains a large number of exercises, and in addition to the main content, some appendices are included to expand and deepen the learned material. This book is revised and written based on lecture notes used for many years at the University of Science and Technology of China, and can be used as a textbook for foundational courses in mathematics departments of higher education institutions, and can also serve as a reference for mathematicians and engineering technicians in fields such as communication, computer science, and others.