Higher Algebra - Theorems. Problems. Methods

Author: Hu Shigeng, Liu Xianzhong (editors)
Publisher:
Publish Date: 2007-01-01
Features: The knowledge and methodological training acquired from the course of Advanced Algebra play an irreplaceable role in subsequent mathematical learning and research. Through the analysis of 800 examples, this book thoroughly explains and systematically applies the elegant ideas and methods that readers may encounter during their learning process, aiming to help them truly grasp certain key concepts. The book is divided into four chapters: Polynomials, Matrices and Vectors, Eigenvalues and Standard Forms, and Inner Product Spaces and Quadratic Forms. Each section follows a pattern of concepts and theorems, problems and methods. This book can serve as a supplementary text for undergraduate students in mathematics and related fields at universities, as well as a reference for students preparing for postgraduate entrance exams and relevant researchers. Through the analysis of 800 examples, the book thoroughly explains and systematically applies the ideas and methods that readers encounter during their learning process. The book is divided into four chapters: Polynomials, Matrices and Vectors, Eigenvalues and Standard Forms, and Inner Product Spaces and Quadratic Forms. Each section follows a pattern of concepts and theorems, problems and methods.