Linear algebra

Author: Chen Jianhua
Publisher:
Publish Date: 2005-09-01
Features:
(1) Scientific positioning. This series of textbooks is primarily used for cultivating applied undergraduate talents.
(2) Comprehensive consideration and holistic optimization, reflecting the principles of "appropriate, broad, concise, innovative, and practical." The term "appropriate" refers to a moderate level of difficulty; "broad" means a wider scope of knowledge; "concise" implies brevity and precision; "innovative" involves tracking the forefront of applied disciplines, renewing content, and reflecting contemporary demands; "practical" emphasizes linking theory with practice and applying knowledge to real-world scenarios.
(3) Emphasizing uniqueness. This means highlighting the characteristics of general engineering colleges and aligning with the practical requirements of foundational course teaching in such institutions.
(4) Student-centered approach. This series of textbooks should strive to embody a student-centered educational philosophy, avoiding teaching for teaching's sake. It focuses on cultivating students' self-learning abilities and their capacity to expand and develop knowledge, laying a foundation for their continuous creative learning in the future. Although this series aims to present new ideas, systems, and a fresh appearance to readers, it is to have certain shortcomings or errors due to being a new exploration. We sincerely welcome feedback from readers to help refine and improve the book for future editions.
The writing and publication of this series of textbooks were greatly supported and coordinated by the China Mechanical Industry Education Association, China Machine Press, the Jiangsu Provincial Department of Education, as well as all the chief reviewers, chief editors, and contributing schools. Here, we express our heartfelt gratitude.
This book was compiled based on the teaching basic requirements for undergraduate linear algebra courses in higher education. It is divided into 7 chapters: the first 3 chapters cover the foundational topics of determinants, matrices, and the linear dependence and independence of vector sets, while the last 4 chapters focus on advanced applications, including matrix similarity and diagonalization, quadratic forms, input-output models, and the fundamentals of linear spaces and linear transformations.
This book is designed for undergraduate students of non-mathematics majors in general universities. The content selection emphasizes precision and sufficiency, with language expression aimed at being easy to understand. The chapter arrangement considers the convenience of adoption by different disciplines. This book can also serve as a teaching reference for junior colleges and adult education institutions, as well as a reference for readers preparing for self-study examinations.