Simple Linear Algebra

Author: None
Publisher:
Publish Date: 2005-09-01
Features: This book was awarded the title of "Beijing Higher Education Excellent Teaching Material" in 2004. It is a textbook for the "Linear Algebra" course in higher education institutions. The book is divided into nine chapters. The content includes: systems of linear equations, determinants, vector spaces of n-tuple ordered arrays, matrix operations, matrix equivalence and similarity, quadratic forms and matrix congruence, linear spaces, linear mappings, Euclidean spaces, and unitary spaces. The book provides for each section, and the answers and hints to the exercises are provided at the end of the book for reference by teachers and students. The book not only scientifically explains the basic content of linear algebra but also presents it in a clear and easy-to-understand manner. It selects and organizes the content of linear algebra from concrete to abstract, making it suitable for science students in comprehensive universities and normal universities to learn the book in a progressive way. At the same time, it allows students in engineering universities, economic universities, and junior colleges to grasp the general outline and basic content of linear algebra by studying the first six or four chapters. The book emphasizes cultivating students' mathematical thinking while imparting knowledge. The content is organized and written in line with teaching thinking, making it easier for students to learn while also exposing them to mathematical thinking, which will benefit them throughout their careers. This book can be used as a textbook for the "Linear Algebra" course in comprehensive universities, normal universities, engineering universities, economic universities, junior colleges, and self-study examinations. Teachers can choose to teach all chapters with 4 hours per week, the first six chapters with 3 hours per week, or the first four chapters with 2 hours per week.