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Jules Henri Poincaré
Henri Poincaré was born on April 29, 1854, in Nancy, France to Eugénie Launois and Léon Poincaré. He would pass away of an embolism on July 17, 1912, in Paris. Important works
1895-Analysis Situs. The first systematic study of topology 1890-The three-body problem and the equations of dynamics: Poincaré's foundational work on dynamical systems theory 1892–99- New Methods of Celestial Mechanics, 3 vols. 1905–10- Lessons of Celestial Mechanics. 1902- Science and Hypothesis -
"Thesis on Fuchsian functions"
In 1882 Poincare published his work on Fuchsian functions, named for Lazarus Fuchs in Acta Mathematica, a pier reviewed journal. "Fuchsian functions are very like elliptic functions, they are defined in a certain circle and are meromorphic inside it." -
excerpt from Poincar´e’s Path to Uniformization by Connemara Doran. -
Memoir on curves defined by a differential equation
In 1890 Poincare published a paper on the three-body problem. This detailed the qualitative theory of differential equations and is considered the first work on chaotic motion, which would pave the way for the modern Chaos Theory. -
New Methods of Celestial Mechanics and Lectures on Celestial Mechanics
Poincare published the papers "New Methods of Celestial Mechanics" in 1892 and "Lectures on Celestial Mechanics" 1905. the work introduced dynamical systems and the Poincaré recurrence theorem. A theory that certain systems will return to their initial state. https://www.youtube.com/watch?v=WM_Iqiaslqc -
Analysis situs
In 1895 Poincare published "Analysis situs". Considered the first published work on topology it paved the way for Algebraic Topology. A branch of mathematics that deals with properties of geometrical figures and their relation to each other that do not change under deformation. -
Science and Hypothesis
In 1902 Poincare wrote Science and Hypothesis, a book outlining his philosophical views of science and mathematics. "Mathematical truths are derived from a few self-evident propositions, by a chain of flawless reasonings; they are imposed not only on us, but on Nature itself." - excerpt from "Science and Hypothesis." Henri Poincare. -
The Poincaré conjecture
In 1904 Poincare created "The Poincaré conjecture" it was considered one of the most important unsolved problems in Algebraic Topology until 2002 when Grigori Perelman solved it. Perelman refused a $1million prize stating that Richard S. Hamilton had an equal part in finding the solution. -
Timeline References
-Henri Poincaré - Biography, Facts and Pictures
https://www.famousscientists.org/henri-poincare -Poincar´e’s Path to Uniformization
Connemara Doran -Algebraic topology - Encyclopedia of Mathematics
https://encyclopediaofmath.org/index.php?title=Algebraic_topology -Science and hypothesis 1902
Poincaré, Henri -Henri Poincaré. By: Means, Richard
Science Reference Center -Henri Poincare: A Biography Through The Daily Papers
Jean-Marc Ginoux and Christian Gerini
