History of the Theory of Numbers, Volume I: Divisibility and Primality (Dover Books on Mathematics) free ebook download.

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History of the Theory of Numbers, Volume I: Divisibility and Primality (Dover Books on Mathematics) free ebook download

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Author(s):	Leonard Eugene Dickson

Date:	2005-06-03	Format:	pdf	Language:	English	ISBN/ASIN:	0486442322
Pages:	512	OCR:		Quality:		ISBN13:	9780486442327
Uploader:	eternal	Upload Date:	9/6/2015 8:11:54 AM

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The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This first volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to the subjects of divisibility and primality. It can be read independently of the succeeding volumes, which explore diophantine analysis and quadratic and higher forms.
Within the twenty-chapter treatment are considerations of perfect, multiply perfect, and amicable numbers  formulas for the number and sum of divisors and problems of Fermat and Wallis  Farey series  periodic decimal fractions  primitive roots, exponents, indices, and binomial congruences  higher congruences  divisibility of factorials and multinomial coefficients  sum and number of divisors  theorems on divisibility, greatest common divisor, and least common multiple  criteria for divisibility by a given number  factor tables and lists of primes  methods of factoring  Fermat numbers  recurring series  the theory of prime numbers  inversion of functions  properties of the digits of numbers  and many other related topics. Indexes of authors cited and subjects appear at the end of the book.

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Tags: Books Divisibility Dover History Mathematics Numbers Primality Theory Volume

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