History of the Theory of Numbers, Volume I

Klappentext Written by a Univeristy of Chicago professor! this 1st volume in the 3-volume series "History of the Theory of Numbers" presents the material related to the subjects of divisibility and primality. 1919 edition. Inhaltsverzeichnis I. Perfect! multiply perfect! and amicable numbersII. Formulas for the number and sum of divisors! problems of Fermat and WallisIII. Fermat's and Wilson's theorems! generalizations and converses; symmetric functions of 1! 2! ...! p-1! modulo pIV Residue of (up-1-1)/p modulo pV. Euler's function! generalizations; Farey seriesVI. Periodic decimal fractions; periodic fractions; factors of 10nVII. Primitive roots! exponents! indices! binomial congruencesVIII. Higher congruencesIX. Divisibility of factorials and multinomial coefficientsX. Sum and number of divisorsXI. Miscellaneous theorems on divisibility! greatest common divisor! least common multipleXII. Criteria for divisibility by a given numberXIII. Factor tables! lists of primesXIV. Methods of factoringXV. Fermat numbersXVI. Factors of an+bnXVII. Recurring series; Lucas' un! vnXVIII. Theory of prime numbersXIX. Inversion of functions; Möbius' function; numerical integrals and derivativesXX. Properties of the digits of numbersIndexes

Autorentext
Leonard Eugene Dickson taught at the University of Chicago.

Klappentext
Written by a Univeristy of Chicago professor, this 1st volume in the 3-volume series "History of the Theory of Numbers" presents the material related to the subjects of divisibility and primality. 1919 edition.


Inhalt
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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