Linear algebra

Author: Zhao Shuyuan
Publisher:
Publish Date: 2004-01-01
Features: Humanity has entered the 21st century. Due to the rapid development of science and technology, quantitative analysis has permeated all fields, and the importance of mathematics has been recognized by the entire society. With the widespread adoption and advancement of computer technology, many complex calculations and abstract reasoning are no longer insurmountable, and the application of mathematics is becoming increasingly profound. As human quality continues to improve, mathematical quality education has become a compulsory course for all citizens, and the popularization of mathematics is becoming more extensive. To adapt to the development of the 21st century and meet societal needs, the integration of information technology and subject courses has been elevated to the "top priority" in educational reform. Utilizing information technology to transform and optimize traditional subject content is an inevitable requirement for cultivating high-quality innovative talents of the new century. After years of teaching research and practice, we have organized experienced teachers to compile this series of practical economic mathematics textbooks and present them to everyone.
A novel Linear Algebra explains the fundamental theorems of linear algebra in a completely new way, uncovering the black holes in mathematics and allowing you to experience philosophical discussions, making it easy to learn linear algebra methods. This book takes the fundamental theorems as its framework to establish a new theoretical system for linear dependence, adding some new theorems and improving the proofs of certain existing ones. It introduces the concept of determinants using the discovery method, provides a standard formulation of Cramer's Rule along with a new proof, and highlights that Cramer's Rule is a fundamental principle with significant theoretical importance. The discussions are philosophical, such as exploring the philosophy of numbers and the symmetry of beauty.
The book is well-organized, making it convenient for teaching; the explanations are thorough, aiding comprehension; and the steps are detailed, ensuring easy readability. Each chapter includes a summary, and the exercises come with answers. This makes it ideal for self-study, allowing beginners to enter the subject effortlessly. The book provides sufficient material for students from non-mathematics backgrounds to learn linear algebra and is suitable for students of various schools, majors, and needs. Even mathematics majors will find it highly beneficial.