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Sophus Lie

mathematics
Camille Jordan and the Cours d’Analyse.

Camille Jordan and the Cours d’Analyse.

Harald Sack
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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mathematics
Sophus Lie and the Theory of Continuous Symmetry

Sophus Lie and the Theory of Continuous Symmetry

Harald Sack
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. “In our century the conceptions substitution and substitution group, transformation and transformation group, operation and operation group,…
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