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The mathematical essays and recreations in this volume are by one of the most successful teachers and text-book writers of Germany. The monistic construction of arithmetic, the systematic and organic development of all its consequences from a few thoroughly established principles, is quite foreign to the general run of American and English elementary text-books, and the first three essays of Professor Schubert will, therefore, from a logical and esthetic side, be full of suggestions forelementary mathematical teachers and students, as well as for non-mathematical readers. For the actual detailed development of the system of arithmetic here sketched, we may refer the reader to Professor Schubert's volume Arithmetik und Algebra, recently published in the [G]oschen-Sammlung ([G]oschen, Leipsic), -an extraordinarily cheap series containing many other unique and valuable text-books in mathematics and the sciences.

Numbers, Prime.

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Numbers, Prime.

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Prime ministers

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Depuis Pythagore et Euclide, une petite musique insistante empêche les mathématiciens de dormir : celle des nombres premiers (qui ne sont divisibles que par eux-mêmes) et de leur étrange distribution dans la suite des nombres " normaux ". Pour raconter les péripéties d'une recherche séculaire et expliquer ses enjeux, il fallait une plume capable de filer la métaphore et de camper les grands héros de l'histoire - Riemann, "Wagner " des mathématiques, Hilbert, virtuose incomparable, ou Ramanujan, jeune prodige indien sans aucune culture mathématique pour qui les nombres étaient des "amis personnels" -, mais aussi d'expliciter les mille applications potentielles d'une recherche on ne peut plus fondamentale. Un remarquable succès de vulgarisation.

Numbers, Prime --- Nombres premiers

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Prime ministers --- Premiers ministres