Henri Poincaré

Henri Poincaré was a renowned French mathematician known for his significant contributions to various fields of mathematics in the late 19th and early 20th centuries.

One of Poincaré's most famous works is in the field of topology, particularly in the study of dynamical systems and chaos theory. He introduced the concept of the Poincaré map, which is a method used to study the long-term behaviour of complex systems by looking at the intersections of paths in phase space.

Poincaré also made important contributions to number theory, particularly in the study of modular forms and algebraic geometry. He played a key role in developing the theory of automorphic functions, which are complex functions that have certain symmetry properties.

In addition, Poincaré made significant advances in the field of differential equations, where he studied the qualitative theory of differential equations and developed the Poincaré-Bendixson theorem, which provides a criterion for determining the existence of periodic orbits in dynamical systems.

Overall, Henri Poincaré's work has had a profound impact on various branches of mathematics, making him a central figure in the development of modern mathematics that school students can appreciate."