The Discovery of Mathematics: Understanding, Research and Teaching of Solving Problems is the representative work of George Polya, a famous American mathematician. In the book, the author makes a detailed analysis of various vivid and interesting typical problems (some of which are non-mathematical), puts forward their essential characteristics, and summarizes various mathematical models. The author tells the principle with high mathematical generality in easy-to-understand language and heuristic narrative method, which has benefited readers at all levels. This simple, simple and vivid teaching fully embodies the style characteristics of an education master. The exercises and notes at the end of each chapter of this book are the continuation of the main text, which is closely related to the main text after careful selection and arrangement by the author. These exercises provide readers with an excellent opportunity to do creative work, which will stimulate your competitiveness and initiative and let you enjoy the fun of math work.