Mathematical knowledge is not only discovered by mathematicians, but there is no such concept as a mathematician with mathematical knowledge. Therefore, mathematical knowledge is largely summed up and refined by working people in their production and life. The study of pure mathematics began around 500 BC. At this time, the concept of mathematician came into being, and the application of mathematics was also studied. For example, Dokus and Plato were famous mathematicians in ancient Greece. They have made many achievements in conic curve and plane geometry. The discovery of mathematical knowledge is uninterrupted and a process of continuous improvement. There are several special periods in which mathematics and other sciences develop very rapidly. The first period was 300 BC, and the 16- 17 century was the big bang period for the application and development of mathematics. There were also many discoveries and applications of mathematics in the last century. 16-17-18th century The basic achievements of mathematics are the formation of Cartesian coordinate system, Newton Leibniz calculus and Bernoulli family probability theory.

As for the last century, there are Hilbert, Russell and Cantor.

It is worth mentioning that the crisis of mathematics has also greatly promoted the development of mathematics. During this period, several leaps were discovered:

1, the discovery and application of the score, this is the discovery of the Nile.

2. The discovery of root number 2 is the expansion of the field of number theory to real numbers, which is of course closely related to Pythagorean theorem.

3. The imaginary root found when solving equations is the discovery of imaginary numbers.

The above is the expansion of the number system. Of course, several paradoxes in mathematics also promote the exploration and development of mathematical knowledge.

1, real number crisis

2. Hypothetical crisis

3. Russell set paradox

Several mathematical crises have made mathematicians make a lot of contributions to mechanized mathematics.

Several mathematicians have made great contributions to mathematics:

1, Euclid's Elements of Geometry axiomatized elementary geometry and made great contributions to the spread of mathematical knowledge. It is a textbook at almost any time in the future and the best model for learning mathematics.

2. Archimedes put forward the solutions of parabola, constant velocity helix and many physical and mathematical problems. The most important thing is to exhaust the methods.

3. Descartes divided the coordinate system of space, built the best bridge between geometry and algebra, and paved the way for later generations. This is an amazing creation. His classic saying is: I think, therefore I am. The most romantic mathematical curve, the heart line r=a( 1+cosX), is his love letter to the princess and the most romantic love letter. Coordinate system is a beacon founded by pioneers.

4. Newton, calculus is a great pioneering work independently discovered by Newton and Leibniz, paving the way for the development of hundreds of sciences in the future. Is the founder and pioneer of mathematics.

Euler is one of the most diligent and intelligent mathematicians. It can be said that his contribution to the application of mathematics is unmatched by any mathematician.