How to Do Good Mathematics

How to Do Good Mathematics presents a rich collection of reflections on mathematics and the life of one of its greatest modern contributors, Shiing-Shen Chern. The book is organized into four parts. The first part offers a concise biography of Chern along with an overview of his mathematical achievements and philosophy. The second part features ten of Chern's essays, which include his observations on the development of mathematics in China and the world, his vision for vibrant and meaningful mathematics, and his heartfelt advice to young mathematicians. He also emphasizes the importance of integrating humanistic values into the practice of mathematics. The third part consists of conversations with mathematicians such as Zhang Dianzhou and Jackson, touching on the qualities of a mathematician and the relationship between mathematics and science. The fourth part includes four accessible public lectures delivered by Chern, focusing on the evolution of modern geometry and its connection to physics.