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Description
History of the Theory of Numbers, Volume I: Divisibility and PrimalityThe 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
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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/03/2005
ISBN: 9780486442327
Pages: 486
Weight: 1.16lbs
Size: 8.54h x 5.54w x 1.04d
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★★★★★ 4
The Only Thing He Hasn't TOTALLY Destroyed
Size: Large, Color: Ball-Blue
I've spent my hard earned money on SOOOO many "indestructible " toys. This one is actually pretty good. It has a duck sound inside for when the pet rolls the ball to get the treats. I didn't use it for the treats. I gave this toy 4-stars because my dog broke the sound box while chewing it. We pulled the pieces out and he LOVES it. Great for play,and comfort. Sometimes, he sleeps with it. I guess you could say it's his favorite 😍.
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Reviewed in the United States on June 4, 2024
★★★★★ 5
Great balls of fun!
Size: Large, Color: Ball-Red
One of the best toys that was ever made! My wife likes to put little treats in there and I'll bat the ball around. The room gives their hours of entertainment. She puts little things like hands of corn i
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Reviewed in the United States on May 6, 2026
★★★★★ 3
Choking hazard from Internal Pieces if Ball
Size: Large, Color: Ball-Blue
The Ball is Very Tough. However, the inside Parts Broke and Fall out and can be Choking Hazard.
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Reviewed in the United States on March 22, 2026
★★★★★ 5
Great for chewers!
Size: Large, Color: Ball-Blue
We have a super high energy one year old pup who destroys practically every toy she gets. This one is excellent! It makes a fun but not annoying sound and she hasn’t been able to destroy it yet. The test hole is a fun addition to keep her busy.
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Reviewed in the United States on November 16, 2025
★★★★★ 5
Very sturdy toy for aggressive chewers
Size: Large, Color: Bone-Blue
My 80-pound American Bully loves this toy. It is very sturdy. Good price. Highly recommend.
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Reviewed in the United States on April 24, 2026