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21 de mai. de 2024 · Neste vídeo, concluímos a formalização da teoria dos cortes de Dedekind, especificamente a definição da estrutura aritmética subjacente aos números reais. De...
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15 de mai. de 2024 · Richard Dedekind, Stetigkeit und irrationale Zahlen (1872) [Google Books, retyped: web] Richard Dedekind (transl. by W. Beman), Continuity and irrational numbers , Chapter I in: Essays on the Theory of Numbers , Chicago (1901) [ Project Gutenberg , pdf ]
10 de mai. de 2024 · 3. 94 views 2 days ago. This video is a commentary of Dedekind two essays : The Nature and Meaning of Numbers, Continuity and Irrational Numbers. After presenting a construction of Natural...
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- Holy Math
10 de mai. de 2024 · Julius Wilhelm Richard Dedekind: Architect of Modern Mathematics
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Há 4 dias · The definition of real numbers as Dedekind cuts was first published by Richard Dedekind in 1872. The above approach to assigning a real number to each decimal expansion is due to an expository paper titled "Is 0.999 ... = 1?" by Fred Richman in Mathematics Magazine.
7 de mai. de 2024 · Theory of Algebraic Integers by Richard Dedekind, Translated by John Stillwell, CUP 1996 Cohomology of Drinfeld Modular Varieties, Part II: The Arthur-Selberg Trace Formula, G. Laumon, Cambridge Studies in Advanced Mathematics 56, CUP 1996 (Appendix by J.L. Waldspurger)
Há 3 dias · This definition was first published, in a slightly modified form, by Richard Dedekind in 1872. The commutativity and associativity of real addition are immediate; defining the real number 0 to be the set of negative rationals, it is easily seen to be the additive identity.
