The main goal of Leibniz's lifelong struggle is to find a universal method to acquire knowledge and create inventions, which has led to many mathematical discoveries, the most prominent of which is calculus. Newton established calculus mainly from the viewpoint of kinematics, while Leibniz considered it from the perspective of geometry, which is closely related to I Barrow's differential triangle.

Leibniz realized that good mathematical symbols can save thinking labor, and the skill of using symbols is one of the keys to the success of mathematics. Therefore, the symbols of calculus he created are far superior to Newton's symbols, which has a great influence on the development of calculus.

During the period from 17 14 to 17 16, before his death, Leibniz drafted the article "History and Origin of Calculus" (this article was not published until 1846), which summarized his thought of establishing calculus and expounded the independence of his achievements.

Personality achievement in calculus

His first article on differential calculus, A New Method for Finding Maximum, Minimum and Tangent, was published in Yi Xue magazine, which is the earliest calculus document in the world. Three years earlier than Newton's Mathematical Principles of Natural Philosophy. Modern differential symbols and basic differential laws have been included, and extreme value condition Dy = 0 and inflection point condition D2Y = 0 are also given.

1686, he published his first paper on integral calculus in Learning Art. The symbols he created were far superior to Newton's symbols, which had a great influence on the development of calculus.

In addition, Leibniz designed a computer that can do multiplication, and went to Paris to make it in 1673, which is another progress of computing tools after Pascal's adder. He also systematically expounded the binary notation, and linked it with China's gossip.