The following are some famous mathematicians and their achievements and works: He solved many geometry and differential problems and developed mathematical tools such as the Eulerian function. His book," Eulerian Formula and Arithmetic Theory," was considered a classic in the history of mathematics. 2. Gauss: Gauss was one of the founders of probability theory and statistics. He developed mathematical concepts such as probability distribution and random variables and established mathematical formulas such as the Gauss distribution and Gauss theorem. His book," Theory of Probability and Mathematical statistics," was one of the classic textbooks in the field of mathematics. 3 Riemann's hypothesis: The Riemann hypothesis is an unsolved problem in mathematics that involves some properties of the Riemann zeta function on the complex plane. The hypothesis has not been proved yet. Riemann's hypothesis had attracted many years of hard work from mathematicians, but no proof had been found. Topologies: Topologies is a subject that studies the nature of space. It discovers the nature and properties of space by definition of some new spatial concepts and mathematical structures. The topologist had studied many mathematical problems such as continuity, measurability, and so on. Algebra: Algebra is a mathematical discipline that studies numbers, functions, equations, etc. It helps mathematicians solve many mathematical problems such as number theory, analytical number theory, and algebra. These are some famous mathematicians and their achievements and works. Of course, there are many other mathematicians and their works.