geometry

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. “In our century the conceptions substitution and substitution group, transformation and transformation group, operation and operation group,…
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Omar Khayyam – Mathematics and Poetry

Omar Khayyam – Mathematics and Poetry

On December 4, 1131, Persian mathematician, astronomer, philosopher, and poet, Omar Khayyam; born Ghiyāth ad-Dīn Abu’l-Fatḥ ʿUmar ibn Ibrāhīm al-Khayyām Nīshāpūrī, passed away. He is widely considered to be one of the most influential scientists of the middle ages. He wrote numerous treatises on mechanics, geography, mineralogy and astronomy. “Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that…
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