Mathematics Overview

Author: Goding
Publisher:
Publish Date: 2001-07-01
Features: This book is rich in content and rigorous in argumentation, enabling readers to gain a comprehensive understanding of mathematics, the characteristics of modern mathematics, and the applications of mathematics, while also enhancing their interest in mathematics. It is suitable for university mathematics majors, university and secondary school mathematics teachers, science and technology personnel, and mathematics enthusiasts. This chapter provides a concise and introductory discussion of most of the content of advanced mathematics. The book is divided into twelve chapters, with eight chapters discussing number theory, algebra, geometry, and linear algebra, limits, continuity, and topology, differential calculus, integral calculus, series, and probability. Each chapter begins with basic concepts and fundamental theorems and extends to current developments, accompanied by an overview of the history of the discipline and biographical sketches of famous mathematicians, as well as important reference books. Additionally, three chapters discuss mathematical models and reality, the applications of mathematics, and the history of mathematics in the 17th century. The final chapter explores the sociology of mathematics, the psychology of mathematics, and mathematics education.