Une citation mathématique chaque jour & quelques actualités mathématiques. A mathematical quote every day & some mathematical news. #mathématiques #maths #math
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ALT Première de couverture des "Éléments de mathématiques pour le XXIe siècle", volume 4.
ALT Quatrième de couverture des "Éléments de mathématiques pour le XXIe siècle", volume 4.
ALT Citation de Paul Lockhart : "Les mathématiques ne consistent pas à suivre des directions, mais à créer de nouvelles directions."
ALT Quote from Paul Lockhart : "Math is not about following directions, it’s about making new directions."
ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Machin’s Formula : τ/8 = 4 tan^(−1) (1/5)− tan^(−1) (1/239) , where τ = 2π.
ALT Photographic portrait of Cassius Jackson Keyser, and a quote : "Mathematics is no more the art of reckoning and computation than architecture is the art of making bricks or hewing wood, no more than painting is the art of mixing colors on a palette, no more than the science of geology is the art of breaking rocks, or the science of anatomy the art of butchering."
ALT Portrait photographique de Cassius Jackson Keyser, et une citation : "Les mathématiques ne sont pas plus l'art de compter et de calculer que l'architecture n'est l'art de fabriquer des briques ou de couper du bois, que la peinture n'est l'art de mélanger des couleurs sur une palette, que la science de la géologie n'est l'art de casser des roches, ou la science de l'anatomie l'art de dépecer."
ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Lucas’ Theorem : Let p be a prime number and let a and b, a ≥ b, be positive integers written in base p, say, a = ∑_(i=0)^s a_i p^i and b = ∑_(j=0)^t b_j p^j and s ≥ t. Then "a choose b" ≡ "a_0 choose b_0" "a_1 choose b_1"· · ·"a_(t−1) choose b_(t-1)" "a_t choose b_t" (mod p).
ALT Portrait de Stendhal, et une citation : "De plus j'aimais, et j'aime encore, les mathématiques pour elles-mêmes, comme n'admettant pas l'hypocrisie et le vague, mes deux bêtes d'aversion."
ALT Portrait of Stendhal, and a quote : "What is more I loved, and still do love, mathematics for itself as not allowing room for hypocrisy or vagueness, my two pet aversions."
ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Lamé’s Theorem : Suppose the greatest common divisor of x and y, x > y ≥ 1, is computed, using Euclid’s algorithm, in n steps. Then n ≤ logϕ (x √5 ), where the base of the logarithm is ϕ = (1 + √5 )/2, the golden ratio. The value of n is maximised when y and x are consecutive Fibonacci numbers, Fn−1 and Fn.
ALT Quote from Morris Kline : "The history of arithmetic and algebra illustrates one of the striking and curious features of the history of mathematics. Ideas that seem remarkably simple once explained were thousands of years in the making."
ALT Citation de Morris Kline : "L'histoire de l'arithmétique et de l'algèbre illustre l'un des aspects marquants et curieux de l'histoire des mathématiques. Des idées qui semblent remarquablement simples une fois expliquées ont mis des milliers d'années à se développer."
ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Piff-Welsh Theorem : If M is a transversal matroid and F is a field then M is representable over some finite extension of F. In particular, M is representable over fields of any characteristic.
ALT Photographic portrait of Victor Hugo, and a quote : "Geometry stretches as far as the eye can see."
ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Lieb’s Square Ice Theorem : For the graph of the n × n toroidal lattice, let fn denote the number of Eulerian orientations. Then lim n→∞ f_n^(1/n^2) = (8 √3) / 9