Brief Linear Algebra

Author: Ouyang Kezhi et al
Publisher:
Publish Date: 2004-04-01
Features: This textbook is designed based on the actual academic level of general students in ordinary universities after the large expansion of higher education in recent years, as well as the newly revised "Basic Requirements for Undergraduate Mathematics Course Teaching in Engineering" nationwide in 2003. The outstanding features of this book are its practicality, conciseness, ease of teaching, and ease of learning. In terms of content selection, it follows the principle of necessity and sufficiency and aligns with the basic requirements of the teaching syllabus. In terms of arrangement, it adopts new reasoning sequences and structural systems, striving to present the material in a gradual and progressive manner. The exposition and arguments are clear, with a focus on key concepts, detailed explanations, and straightforward reasoning, avoiding confusing and lengthy proofs. While maintaining the systematicity and scientificity of the course, it appropriately weakens the rigorous theoretical derivations, sometimes substituting them with intuitive and concise explanations or examples to help students grasp the fundamental ideas and essence of the theoretical reasoning. It also appropriately reduces the training of problem-solving techniques, emphasizing the cultivation and improvement of students' basic abilities. This book can serve as a textbook for students in science and engineering, as well as for those in economics and management in ordinary universities. It can also be used as a textbook for linear algebra courses in adult education (non-mathematics majors). The numbered content in the book can be flexibly selected based on different teaching needs.