Calculus Fundamentals Linear Algebra and Analytic Geometry

Author: Wei Zhixian (Compiler)
Publisher:
Publish Date: 2004-07-01
Features: This series of textbooks is part of the National Planning Textbooks for the 15th Five-Year Plan in General Higher Education, consisting of three volumes, and this book is one of them. The content of this book includes eight chapters: 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. This book strives to integrate linear algebra with analytical geometry, emphasizing the mutual connection between them. It focuses on teaching mathematical thinking methods and cultivating students' ability to solve problems using mathematical knowledge, highlighting the essence of mathematical concepts. The explanations are designed to be clear and easy to understand, progressing from intuitive to abstract, with a well-structured and logical flow, rich in inspiration. The book also includes additional examples of applications in linear algebra. There are abundant examples and exercises, divided into two categories: A and B. The answers and hints to the exercises are provided at the end of the book. This book can serve as a textbook for undergraduate students in non-mathematics majors of higher technical and engineering colleges. It can be used in conjunction with calculus courses, as a standalone textbook for linear algebra courses, or as a reference for relevant teachers and scientists.