Dedekind, Julius Wilhelm Richard
Dedekind, Julius Wilhelm Richard yo͞ol´yo͝os vĭl´hĕlm rĭkh´ärt dā´dəkĭnt [key], 1831–1916, German mathematician. Dedekind studied at Göttingen under the German mathematician Carl Gauss and in 1852 received his doctorate there for a thesis on Eulerian integrals. In 1858 he went to Zürich as a professor; in 1862 he returned to his home town Brunswick to become a professor there. Dedekind led the effort to formulate rigorous definitions of basic mathematical concepts. Perhaps his best-known contribution is the
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Dedekind cut,whereby real numbers can be defined in terms of rational numbers. He also did fundamental work in algebraic number theory, introducing the notion of ideal in ring systems.
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