L'H?pital (Marquis? Pital, 166 1- 1704) French mathematician. 166 1 was born in France,1died in Paris on February 2, 704. He was attacked as a marquis and served as a cavalry officer in the army. Later, he quit the army because of poor eyesight and turned to academic research. He showed his talent in mathematics at an early age. He solved Pascal's cycloid problem at the age of 15, and later solved the "steepest descent curve problem" that johann bernoulli challenged Europe. Later, he gave up his position as an artillery, devoted more time to mathematics, studied calculus under Bernoulli, a Swiss mathematician, and became a major member of the French New Analytical School. L'H?pital's infinitesimal analysis (1696) is the earliest textbook in calculus, and it is a model work of18th century. In the book, an algorithm (Robida's Law) is created to find the limit of the quotient of two functions that meet certain conditions. In the preface, L'H?pital thanked Leibniz and Bernoulli, especially johann bernoulli. After L'H?pital's death, Bernoulli issued a statement saying that this law and many other discoveries were due to him.
L'H?pital's works are still very popular in the study of conic curves in the18th century. His most important work is infinitesimal analysis of explanatory curves [1696], which is the first systematic calculus textbook in the world. Starting from a set of definitions and axioms, he comprehensively expounded the concepts of variable, infinitesimal, tangent and differential, which played a great role in spreading the newly established calculus theory. In chapter nine of the book, John? Bernoulli told him a famous theorem on July 22, 1694: "Robida's Law" is a law to find the limit of a fraction, when both the numerator and denominator tend to zero. Later generations mistakenly thought it was his invention, so the name "Robida Method" is still in use today. L'H?pital also wrote articles about geometry, algebra and mechanics. He also planned to write a textbook on integral calculus, but due to his premature death, this textbook on integral calculus could not be completed. The rest of the manuscript was published in Paris on 1720, and it was named conic curve analysis.
Anecdote about L'H?pital: (See History of Mathematics)
L'H?pital was not a mathematician, he was just a noble in the French Middle Ages. He likes and loves mathematics, and then studies mathematics with Bernoulli as his teacher. However, due to his dull talent, he didn't develop any substantive results. The legendary L'H?pital's law was not studied by L'H?pital himself. In fact, L'H?pital's Law is an academic paper by Bernoulli, a teacher in L'H?pital. Because Bernoulli was in a difficult situation and had a hard life, L'H?pital, a student, was an aristocrat. At this time, L'H?pital extended a helping hand to Bernoulli, the teacher, and expressed the hope to exchange property for Bernoulli's academic papers. This paper is Robida's law which affects the mathematics field. After L'H?pital's death, the teacher announced to the world that Robida's law was his own research achievement, but European mathematicians did not admit it. They think that L'H?pital's behavior is a normal barter, which denies Bernoulli's statement.