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 Portrait of Adolphe Quetelet, and a quote : "It seems to me that the calculation of probabilities, unfortunately too much neglected, ought according to the present state of knowledge, to serve as a foundation for the study of all the sciences, and particularly for that of observation."

ALT Portrait d'Adolphe Quetelet, et une citation : "Il m'a paru que le calcul des probabilités, malheureusement trop négligé, devrait, d'après l'état actuel des lumières, servir de base à l'étude de toutes les sciences et particulièrement des sciences d'observation."

ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Bailey’s Theorem on Latin Squares : Let G be a finite group and let a and b be ordered listings of the elements of G. Then the Cayley table L(a, b) is a quasi-complete Latin square if and only if a^(−1) and b are terraces for G.

ALT Photographic portrait of André Weil, and a quote : "It is certain that few men of our times are as completely free as the mathematician in the exercise of their intellectual activity. Even if some State ideologies sometimes attack his person, they have never yet presumed to judge his theorems."

ALT Portrait photographique d'André Weil, et une citation : "Il est certes peu d'hommes, à notre époque, aussi complètement libres dans le jeu de leur activité intellectuelle que le mathématicien. Si des idéologies d'État s'attaquent parfois à sa personne, jamais encore elles ne se sont mêlées de juger ses théorèmes."

ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. A Theorem of Erdös and Wilson on Edge Colouring : Almost all graphs have edge-chromatic number equal to their maximum degree.

ALT Photographic portrait of Shakuntala Devi, and a quote : "There is maths in everything. Maths is both the mother and child of all science and art."

ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Sokal’s Theorem on Chromatic Roots : The roots of chromatic polynomials of graphs, taken together, are dense in the whole complex plane.

ALT Portrait of Eric Temple Bell, and a quote : "Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now as in the past are inspired by the art of mathematics rather than by any prospect of ultimate usefulness."

ALT Portrait d'Eric Temple Bell, et une citation : "Guidés uniquement par leur sens de la symétrie, de la simplicité et de la généralité, ainsi que par un sens indéfinissable de la justesse des choses, les mathématiciens créatifs sont, aujourd'hui comme hier, inspirés par l'art des mathématiques plutôt que par la perspective d'une utilité ultime."

ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Lagrange Interpolation Formula : Given n distinct real values, x1, . . . , xn, n ≥ 2, and any n points, (x1, y1), . . . , (xn, yn), in the Cartesian plane, there is unique polynomial curve, y = p(x), of degree n − 1, passing these points, specified by p(x) = ∑(i=1^n) yi ∏(i≠j) (x − x j)/(xi − x j)

ALT Portrait of Napoléon Bonaparte, and a quote : "The advancement and perfection of mathematics are intimately connected with the prosperity of the state."

ALT Portrait de Napoléon Bonaparte, et une citation : "L'avancement et la perfection des mathématiques sont intimement liés à la prospérité de l'État."

ALT Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Wedderburn’s Little Theorem : Any finite division ring is commutative.

ALT Photographic portrait of Bertrand Russell, and a quote : "The characteristic excellence of mathematics is only to be found where the reasoning is rigidly logical : the rules of logic are to mathematics what those of structure are to architecture."