Mathematicians in cavalieri

Bonaventura Francesco cavalieri (1598 ~ 1647) is an Italian mathematician and one of the pioneers of integral calculus. 1598 was born in Milan,1647+065438+1died in Bologna on October 30th. 16 16 studied the works of Euclid, Archimedes and Pappus in Pisa Abbey, and then got to know Galileo. After that, he learned a lot from the contact and claimed to be Galileo's student. From 65438 to 0620, he taught theology at the Monastery of Saint Girolamo in Milan, which was regarded as knowledgeable. From 1623 to 1629, he served as abbot in Rorty and Palma. He hopes to get a position as a professor of mathematics in the university. After many twists and turns, 1629 finally got what it wanted with Galileo's strong recommendation. Professor of Mathematics at the University of Bologna, from 1629 until his death. Cavalieri's greatest contribution is to establish the Chengzu principle (also known as the "idempotent product theorem", which is called the "cavalieri principle" in the west). Based on this principle, he obtained the area equivalent to the n power of the curve y=x, and solved many problems that can only be solved by more rigorous integration methods.

In the application of modern analytic geometry and measurement, Zubin principle is a special case of Fubini theorem. Cavalieri has no strict proof of this article. It was only published in 1635' s Updating Adam's Basic Principles of Geometrically Indispensable Continuum and 1647' s Geometry Exercise to prove the inseparability of its methodology. In this way, the volume of some solids can be calculated, even exceeding the achievements of Archimedes and Kepler. This theorem leads to the method of calculating volume by area, which becomes an important step in the development of integral. In addition, he also got the geometric form of the differential mean value theorem in 1627, and he was the first to get the relationship between the radius of curvature and the focal length of the lens.