Linear Algebra (Third Edition) Economic Applications of Basic Mathematics (II)

Author: Zhao Shuyuan, Editor-in-Chief
Publisher:
Publish Date: 2005-04-01
Features: A novel "Linear Algebra" that explains the fundamental theorems of linear algebra using a completely new approach, unveiling the black holes in mathematics, allowing you to experience philosophical discussions and easily learn linear algebra methods. This book takes the fundamental theorems as its framework, establishing a new theoretical system for linear dependence, adding some new theorems and improving the proofs of certain theorems. It introduces the concept of determinants through 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 rule and its 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 easy to teach; the explanations are thorough, facilitating understanding; and the steps are detailed, ensuring readability. Each chapter includes a summary, and the exercises come with answers. It enables self-learners to study independently and helps beginners enter the subject effortlessly. This book provides sufficient material for students from non-mathematics majors to study linear algebra, making it suitable for students of various schools, different majors, and diverse needs. Even for mathematics majors, it is highly beneficial.