differential equations

Sophus Lie and the Theory of Continuous Symmetry

Sophus Lie and the Theory of Continuous Symmetry

On December 17, 1842, Norwegian mathematician Sophus Lie was born. Lie largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations. He made significant contributions to the theories of algebraic invariants, continuous groups of transformations and differential equations. Lie groups and Lie algebras are named after him. Early Years Marius Sophus Lie was born in Nordfjordeid, near Bergen, Norway, to his father Johann Lie,…
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Ferdinand Georg Frobenius and Group Theory

Ferdinand Georg Frobenius and Group Theory

On August 3, 1917, German mathematician Ferdinand Georg Frobenius passed away. Frobenius best known for his contributions to the theory of elliptic functions, differential equations and to group theory. He is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory of biquadratic forms. He was also the first to introduce the notion of rational approximations of functions (nowadays known as Padé approximants), and…
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Friedrich Bessel and the Distances of Stars

Friedrich Bessel and the Distances of Stars

Friedrich Wilhelm Bessel (1784-1846) [1] On July 22, 1784, German mathematician and astronomer Friedrich Wilhelm Bessel was born. He is probably best known for his works in mathematics, where he discovered the eponymous Bessel-functions, which are critical for the solution of certain differential equations. Friedrich Wilhelm Bessel was born in Minden, Westphalia (today Germany), as second son of a civil servant. Bessel attended the Gymnasium in Minden for four years but he did…
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Henri Poincaré – the Last Universalist of Mathematics

Henri Poincaré – the Last Universalist of Mathematics

On April 29, 1854, French mathematician, theoretical physicist, engineer, and a philosopher of science Henri Poincaré was born. He is often described as a polymath, and in mathematics as The Last Universalist since he excelled in all fields of the discipline as it existed during his lifetime. Jules Henri Poincaré was born in Nancy, Meurthe-et-Moselle, France, to Léon Poincaré, professor of medicine at the University of Nancy, and his mother Eugénie Launois. He excelled in every…
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