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Life of Henri Poincare
Henri Poincare was born in Nancy, Muerthe-et-Moselle France into an influential family. He was a mathematician, theoretical physicist, engineer, and philosopher of science. -
The Three Body Problem
In physics, the three body problem is the problem of taking an initial set of data that specifies the positions, masses, and velocities of three bodies for some particular point in time and then determining the motions of the three bodies. Henri Poincare showed that there is no general analytical solution for the three-body problem given by algebraic expressions and integrals. -
Chaos Theory
Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. Henri Poincare helped develop the Chaos theory while studying the three body problem. He found that there can be orbits that are nonperiodic, and yet not forever increasing nor approaching a fixed point. Poincaré, Jules Henri. "Sur le problème des trois corps et les équations de la dynamique. Divergence des séries de M. Lindstedt". Acta Mathematica. -
Poincare Conjecture - Numberphile
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Poincare Conjecture
The Poincare conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. It states "Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere". The conjecture says that the 3-sphere is the only type of bounded three dimensional space that contains no holes. It has led to a deeper understanding of the field of topology. Weisstein, Eric W. "Poincaré Conjecture." Wolfram-Mathworld. -
Gravitational Waves
Henri Poincare was the first to propose gravitational waves. Gravitational waves are the disturbance in the fabric of spacetime generated by accelerated masses and propagate as waves outward from their source at the speed of light. Poincare, Henri. "Electricite- Sur la dynamique de l'electron". Academie des Sciences. 1905
