Applied mathematics is more practical, and the development of empirical science by applying mathematical theory will often pose a profound challenge to mathematics and inspire the research of pure mathematics in a new direction.

Applied mathematics is a subject that uses mathematical methods to develop empirical science. Applied mathematics begins with empirical facts and ends with regular predictions of empirical facts, which must be confirmed by other experimental data.

Applied mathematics is an independent subject, which has its own attitude, methods and ways of thinking, as well as its own educational ideas and methods. From the research process of applied mathematics, we can see the true meaning of applied mathematics: starting from natural phenomena and returning to natural phenomena, both ends are facts.