Linear algebra and analytical geometry

Author: Wei Zhanxian
Publisher:
Publish Date: 2004-07-01
Features: "Fundamentals of Advanced Mathematics" is a national-level planning textbook for the 15th Five-Year Plan of general higher education. The book is divided into three volumes, and this is one of them. This book covers eight chapters, including determinants, matrices, geometric vectors and their applications, n-dimensional vectors and linear equations, linear spaces and Euclidean spaces, eigenvalues and eigenvectors, quadratic surfaces and quadratic forms, and linear transformations. The book strives to integrate linear algebra with analytical geometry, emphasizing the background of mathematical concepts and revealing their essence. The explanations are designed to be clear and accessible, progressing from intuitive to abstract, with distinct layers and logical clarity, and are rich in inspiration. It also appropriately increases the number of application examples in linear algebra, with abundant examples and exercises. The exercises are divided into two categories, A and B, and the answers and hints are provided at the end of the book. This book can be used as a textbook for undergraduate students of non-mathematics majors in higher science and engineering colleges. It can be used in conjunction with advanced mathematics courses, as a standalone textbook for linear algebra courses, or as a reference for relevant teachers and scientists.