The beauty and logic of mathematics

Author: Zhang Shunyan
Publisher:
Publish Date: 2004-07-01
Features: This book is a textbook for general education courses in higher education institutions, suitable for undergraduate students of different disciplines and grades, including first-year liberal arts students without a foundation in higher mathematics. The author does not pursue the rigor of mathematical theory but wanders through the realm of mathematics, elaborating on mathematical ideas and methods from various perspectives and angles, and discussing the mutual promotion between mathematics and art, as well as the deepening connection between mathematics and humanities. The book critiques significant events in the history of mathematics, such as the birth of major branches like Euclidean geometry, analytic geometry, calculus, and non-Euclidean geometry, and their profound impact on human civilization. It also validates renowned mathematical problems throughout history, such as the classical geometric three problems, the Chinese Remainder Theorem, and the Hundred Fowl Problem. Additionally, the book includes "Biographies of Mathematicians," providing readers with opportunities to admire, learn from, and surpass these scientists who have made outstanding contributions. From the book, we can appreciate and absorb the timeless wisdom forged through centuries of and the great intelligence crystallized from human civilization. This book can serve as a textbook for general education courses in universities for students of all disciplines, including liberal arts and sciences, and is also suitable for university mathematics teachers, mathematicians, and science and technology workers. It is particularly ideal for high school students, middle school mathematics teachers, and mathematics enthusiasts.