Dedekind, Richard (1831 1916)
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Topic Page: Dedekind, Richard (1831 - 1916) Definition: Dedekind from Collins English Dictionary n 1 (Julius Wilhelm) Richard (ˈjuːlɪʊs ˈvɪlhɛlm ˈrixɑːt). 1831–1916, German mathematician, who devised a way (the Dedekind cut) of according irrational and rational numbers the same status Summary Article: Dedekind, (Julius Wilhelm) Richard (1831–1916) from The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide German mathematician who made contributions to number theory. In 1872 he introduced the Dedekind cut (which divides a line of infinite length representing all real numbers) to define irrational numbers in terms of pairs of sequences of rational numbers. Dedekind was born in Brunswick and studied at Göttingen. He was professor at the Technische Hochschule in Brunswick 1862–94. In 1858 he succeeded in producing a purely arithmetic definition of continuity and an exact formulation of the concept of the irrational number. This led to the Dedekind cut, explained in his book Stetigkeit und irrationale Zahlen (1872). In Was sind und was sollen die Zahlen? (1888) he devised axioms that formally and exactly represented the logical concept of whole numbers. The factorization of algebraic numbers and the theory of the ideal, which he described 1879–94, was fundamental to modern algebra; and he introduced the concept of dual groups, a precursor of lattice theory. weblinks
Dedekind, Wilhelm © RM, 2016. All rights reserved. Image from: set theory in The Macmillan Encyclopedia http://search.credoreference.com/content/topic/dedekind_richard
APA Dedekind, (Julius Wilhelm) Richard (1831--1916). (2016). In Helicon (Ed.), The Hutchinson unabridged encyclopedia with atlas and weather guide. Abington, UK: Helicon. Retrieved from http://search.credoreference.com/content/entry/heliconhe/dedekind_julius_wilhelm_richard_1831_1916/0 Chicago "Dedekind, (Julius Wilhelm) Richard (1831–1916)." In The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide, edited by Helicon. Helicon, 2016. http://search.credoreference.com/content/entry/heliconhe/dedekind_julius_wilhelm_richard_1831_1916/0 Harvard Dedekind, (Julius Wilhelm) Richard (1831--1916). (2016). In Helicon (Ed.), The Hutchinson unabridged encyclopedia with atlas and weather guide. [Online]. Abington: Helicon. Available from: http://search.credoreference.com/content/entry/heliconhe/dedekind_julius_wilhelm_richard_1831_1916/0 [Accessed 18 July 2017]. MLA
"Dedekind, (Julius Wilhelm) Richard (1831–1916)." The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide, edited by Helicon, 1st edition, 2016. Credo Reference, http://search.credoreference.com/content/entry/heliconhe/dedekind_julius_wilhelm_richard_1831_1916/0. Accessed 18 Jul 2017. http://search.credoreference.com/content/topic/dedekind_richard Document Outline
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