group theory

Richard Brauer and the Theory of Algebra

Richard Brauer and the Theory of Algebra

On February 10, 1901, German and American mathematician Richard Dagobert Brauer was born. Brauer worked mainly in abstract algebra, but made important contributions to number theory. He was the founder of modular representation theory. Richard Brauer – Early Years Richard Brauer was born in Charlottenburg, a district of Berlin, Germany, which was not incorporated into the city until 1920, to Max Brauer, a well-off businessman in the wholesale leather trade, and his wife…
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Camille Jordan and the Cours d’Analyse.

Camille Jordan and the Cours d’Analyse.

On January 5, 1838, French mathematician Marie Ennemond Camille Jordan was born. Jordan is known both for his foundational work in group theory and for his influential Cours d’analyse. “[I was advised] to read Jordan’s ‘Cours d’analyse’; and I shall never forget the astonishment with which I read that remarkable work, the first inspiration for so many mathematicians of my generation, and learnt for the first time as I read it what…
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Agner Erlang and the Mathematics of Telecommunication Traffic

Agner Erlang and the Mathematics of Telecommunication Traffic

On January 1, 1878, Danish mathematician, statistician and engineer Agner Krarup Erlang was born, who invented the fields of traffic engineering and queueing theory. He developed mathematical theories applying the theory of probability, while working for the Copenhagen Telephone Company. He provided significant insights for planning the operation of automatic telephone exchanges that proved so useful that his formulas were used by telephone companies in other countries. Agner Erlang – Youth and Education…
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The Short but Influential Life of Niels Henrik Abel

The Short but Influential Life of Niels Henrik Abel

On April 6, 1829, Norwegian mathematician Niels Henrik Abel passed away. Abel is well known in mathematics for proving the impossibility of solving the quintic equation by radicals. In parallel to Évariste Galois – who also died very young – , he laid the foundations of group theory.[8] “The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the…
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Arthur Cayley and his Love for Pure Mathematics

Arthur Cayley and his Love for Pure Mathematics

On January 26, 1895, British mathematician Arthur Cayley passed away. He was the first to define the concept of a group in the modern way and helped to found the modern British school of pure mathematics. “As for everything else, so for a mathematical theory: beauty can be perceived but not explained. “ — Arthur Cayley, President’s address (1883) to the British Association for the Advancement of Science, in [13] Arthur Cayley –…
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