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History of the Theory of Numbers, Volume I: Divisibility and Primality by Leonard Eugene Dickson ISBN: 0486442322 Dover Publications Price: $25.95 click here to see this book This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition. Unabridged republication of the edition published by Carnegie Institution, Washington, DC, 1919. Table of Contents for History of the Theory of Numbers, Volume I: Divisibility and Primality I. Perfect, multiply perfect, and amicable numbers II. Formulas for the number and sum of divisors, problems of Fermat and Wallis III. Fermat’s and Wilson’s theorems, generalizations and converses; symmetric functions of 1, 2, ..., p-1, modulo p IV Residue of (up-1-1)/p modulo p V. Euler’s function, generalizations; Farey series VI. Periodic decimal fractions; periodic fractions; factors of 10n VII. Primitive roots, exponents, indices, binomial congruences VIII. Higher congruences IX. Divisibility of factorials and multinomial coefficients X. Sum and number of divisors XI. Miscellaneous theorems on divisibility, greatest common divisor, least common multiple XII. Criteria for divisibility by a given number XIII. Factor tables, lists of primes XIV. Methods of factoring XV. Fermat numbers XVI. Factors of an+bn XVII. Recurring series; Lucas’ un, vn XVIII. Theory of prime numbers XIX. Inversion of functions; Möbius’ function; numerical integrals and derivatives XX. Properties of the digits of numbers Indexes

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