## Lie, Marius Sophus (1842–1899)contact transformation,
which maps curves into surfaces (1870), and Lie groups, which use continuous
or infinitesimal transformations. He used these groups to classify partial
differential equations, making the traditional methods of solution all
reduce to a single principle. Lie groups also provided a basis for the growth
of modern topology. ## Related entry• Lie algebra## Related category• MATHEMATICIANS | ||||||

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