-
Period: to
Henri Poincare
Born in Nancy, France, Henri Poincare was a multi-faceted individual with discoveries in multiple fields. He was a "... mathematician, theoretical physicist and a philosopher of science...referred to as the last polymath.." and is best know for his "critique of logicism and for his geometric conventionalism". https://plato.stanford.edu/entries/poincare/#GeoConIntAes -
Automorphic Functions
In 1880, Poincare became known internationally as his discovery of Automorphic Functions came to life. This "...assigned values to the orbits of the group and so gives a well-defined function on the quotient space." https://www.famousscientists.org/henri-poincare/
https://plato.stanford.edu/entries/poincare/#GeoConIntAes -
Qualitative Theory of Differential Equations
"Poincaré showed how highly useful information could be extracted from insoluble differential equations. He did this using methods from analysis and topology." This paved the way for his future discovery of the Chaos theory, in Celestial Mechanics. https://www.famousscientists.org/henri-poincare/
https://plato.stanford.edu/entries/poincare/#GeoConIntAes -
Chaotic System Theory
In 1885, the King of Sweden offered a prize for establishing the stability of the solar system. Poincare was not able to establish its stability and during his processes he found that small changes in planetary orbits could cause chaotic, unpredictable changes in the orbits. Orbits have not been proven to be absolutely stable, meaning that a planet could possibly be launched from the suns orbit. www.plato.stanford.edu/entries/poincare/#GeoConIntAes
www.famousscientists.org/henri-poincare/ -
Topology
"Algebraic topology investigates topological space using the techniques of abstract algebra..." and was founded by Poincare in 1895. https://www.famousscientists.org/henri-poincare/
https://plato.stanford.edu/entries/poincare/#GeoConIntAes