The author, Dr. Wu Jun, rewrote almost all the articles in the series "The Beauty of Mathematics" in order to make the abstruse principles easier to understand and let non-professional readers appreciate the charm of mathematics. After rewriting and reconstruction, the beauty of mathematics has been better grasped in the whole and details. I hope readers can learn the way of thinking, how to simplify the complex, how to solve engineering problems with mathematics, and how to think and innovate without thinking through concrete examples. At the same time, the book also leaves many questions for those who are willing to study, for further in-depth thinking.