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6 giorni fa · In 1881, Leopold Kronecker defined what he called a "domain of rationality", which is a field extension of the field of rational numbers in modern terms. In 1882, Hüseyin Tevfik Paşa wrote the book titled "Linear Algebra".
1 lug 2024 · Some biographies of past contributors to number theory. A glance at Paulo Ribenboim's Fermat's Last Theorem for amateurs, Franz Lemmermeyer's Reciprocity Laws and L.E. Dickson's History of the Theory of Numbers, reveals the existence of many past number theorists about whom little is known.
28 giu 2024 · As long ago as 1883, Leopold Kronecker (1823–1891) proved the following formula for calculating the Bernoulli numbers: $$ B_n=-\sum_{i=1}^{n+1}\frac{(-1)^i}{i}{n+1\choose i}\sum_{j=1}^{i}\;j^n \quad \text{and} \quad B_1:=\dfrac{1}{2}$$
27 giu 2024 · In mathematics, the Euclidean algorithm, [note 1] or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers (numbers), the largest number that divides them both without a remainder.
5 giorni fa · Sono i quesiti che si intrecciano in un'appassionante narrazione della storia umana, un racconto che procede per prove, tentativi ed errori, strade battute e vicoli ciechi, fulminanti intuizioni e brucianti delusioni, tenuto insieme dalle intelligenze dei grandi personaggi che hanno permesso ad aritmetica e geometria di fare il salto ...
1 lug 2024 · Perhaps we need a few more hints in addition to the insights of Leopold Kronecker (1823–1891) “God made the integers, all the rest is the work of man” Footnote 9; Gregory Chaitin (1947–) “a scientific theory is a computer program” Footnote 10; Max Tegmark (1967–) “Our reality isn’t just described by mathematics—it is mathematics” Footnote 11; Rolf Landauer (1927–1999 ...
3 giorni fa · Certain abelian group structures had been used implicitly in Carl Friedrich Gauss's number-theoretical work Disquisitiones Arithmeticae (1798), and more explicitly by Leopold Kronecker. In 1847, Ernst Kummer made early attempts to prove Fermat's Last Theorem by developing groups describing factorization into prime numbers .
