Linear Algebra (Springer, 2018)

简介：
本书《线性代数》由Springer于2018年出版，系统介绍了线性代数的基本理论和应用技巧，适合高等院校数学及相关专业的学生与教师参考使用。 This book presents the fundamental concepts, techniques, and results of linear algebra that serve as a foundation for analysis, applied mathematics, and algebra. It is designed for undergraduate students in mathematics, science, and engineering who have knowledge of set theory. The text focuses on the concepts frequently utilized by scientists and engineers while laying the groundwork for modern analysis and its applications. The book consists of seven chapters covering topics such as vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalization, triangularization, Jordan form, singular value decomposition, polar decomposition, among others. These topics have been well-established over time and continue to be relevant today. The approach taken is both geometric and algebraic. Exercises are placed at the end of each section to reinforce learned concepts without focusing on computational tricks. The problems provided at the end of each chapter are more advanced and require a deeper understanding and mastery of the material covered.