Leibniz was a mathematical genius, what is reflected in the material

Fried Wilhelm Leibniz, a German philosopher and mathematician, is known as the Aristotle of the seventeenth century.

The main mathematical achievements are as follows:

Calculus was invented from the gradations of the sequence. The inverse relationship between integration and differentiation is discussed. The introduction of integrals is in line with the first introduction of the word "function". Binary was invented and the construction of linguistic symbols began. It was the first in history to put forward the idea of mathematical logic.

Newton-Leibniz formula. Calculate the points. The discovery and use of integrals has greatly contributed to the progress of the history of physics and mathematics. Because integrals could solve many problems that were extremely complex at the time, especially in physics.

Because Newton was the first to put forward this idea, but his theory was not the most perfect, especially because he was very unconcise in the notation of integrals; Later, Leibniz also published a mature theory of integrals, and most importantly, Leibniz's calculus notation was the most concise and practical at that time. So today's calculus notation was invented and used by Leibniz back then. Therefore, Leibniz made a great contribution to both mathematics and physics.

Leibniz's formula, also known as the law of product, is a law of calculation in mathematics regarding the derivative of the product of two functions. Unlike the Newton-Leibniz formula, the Leibniz formula is used to find the product of two functions as their higher-order derivatives.

In general, if both the function u=u(x) and the function v=v(x) have nth derivatives at the point x, then there is.

Leibniz's formula is a formula used in derivative calculations, which is a formula that is produced to find the higher-order derivative of the product of two functions.

Extended information: The founders of calculus were Newton and Leibniz, and the reason why Newton and Leibniz were the founders was actually because they linked definite and indefinite integrals, thus establishing a bridge between differentiation and integration.

Newton's Leibniz formula, often referred to as the "fundamental theorem of calculus".

Leibniz's contributions to mathematics were not limited to calculus, but his research and results permeated many areas of higher mathematics. He put forward a series of important mathematical theories, which laid the foundation for later mathematical theories.

Ge Fan Yingtfried Wilhelm Leibniz, a German philosopher, mathematician, and a rare generalist in history, is known as the Aristotle of the 17th century.

Major Mathematical Achievements as Served by the Posture:

Calculus was invented from the gradations of the sequence. The relationship between integral and differential is discussed. The introduction of integrals is in line with the first introduction of the word "function". Binary was invented and the construction of linguistic symbols began. It was the first in history to put forward the idea of mathematical logic.