Brief Linear Algebra: Textbook for College Mathematics Foundation Courses

Author: Qiu Weisheng
Publisher:
Publish Date: 2004-02-01
Features: This book is a textbook for the basic course "Linear Algebra" in higher education institutions. The book is divided into nine chapters, covering the following content: 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 a sufficient number of exercises 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 an accessible and easy-to-understand manner. It selects and organizes the content of linear algebra from concrete to abstract, which allows science students in comprehensive universities and normal universities to learn the book in a gradual manner. At the same time, it enables 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 chapters or the first four chapters. While teaching knowledge, the book emphasizes cultivating students' mathematical thinking. The content is organized and written according to the mindset of teaching, making it easier for students to learn knowledge while also exposing them to the influence of mathematical thinking, helping them perform well in their future work and benefit them throughout their lives. 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 exams. Teachers can choose to teach the entire book based on the number of weekly teaching hours: 4 weekly hours can cover all chapters; 3 weekly hours can cover the first six chapters; 2 weekly hours can cover the first four chapters.