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Description
Elementary Number TheoryIdeal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems some computational and some classical, many original, and
Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems--some computational and some classical, many original, and some with complete solutions.The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamental properties of integers and congruences. Subsequent chapters present proofs of Fermat's and Wilson's theorems, introduce number theoretic functions, and explore the quadratic reciprocity theorem. Three independent sections follow, with examinations of the representation of numbers, diophantine equations, and primes. The text concludes with 260 additional problems, three helpful appendixes, and answers to selected exercises and problems.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/25/2008
ISBN: 9780486469317
Pages: 249
Weight: 0.63lbs
Size: 8.52h x 5.48w x 0.52d
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4.3 ★★★★★
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Product Reviews
★★★★★ 5
Multifunctional dog toy, fetch, chew, dental health
This toy feels like soft rubber, unlike the super hard plastic
Size wise, it would be a good toy to toss and play fetch with. My Aussiedoodle took to it right away. It has numerous nubs that are great for dental health. I use it, as well as other toys with nubs, to offer to my pups with a bit of
smeared on it, to help with their dental health.
🤗 Thank you so much for taking the time to read this review, have a FANTASTIC day!!😊
5★
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Reviewed in the United States on December 27, 2025
★★★★★ 2
Not for aggressive chewers.
Size: Large
Our dog is a 50lb Pit mix. This toy lasted about a week before he took a hole knuckle off. Happy he did not swallow it.
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Reviewed in the United States on March 27, 2026
★★★★★ 5
Perfect Chew Toy, Not Too Soft Or Hard
I've been looking for new chew toys for my 2.5 year old German Shepherd that are durable enough to withstand her chewing, yet aren't so tough or hard that she dislikes it and won't chew or play with it at all. I'm so glad I got this large bone chew toy for her because the rubber is just the right amount of toughness without being too hard. She also loves the bacon smell. Another good thing about this is that there are 80 round nubs that stick out of the bone and are flexible to help clean the teeth. You can even put dog toothpaste on them to really help clean their teeth. This is perfect for my dog because she doesn't like toothbrushes or finger wipes. She also loves to play catch with this toy and since it's made of rubber I can throw it & it just bounces around. This is her new favorite toy and she loves it so much that when my Lab tries to play with her or take it away, she does a little warning growl telling her to stay away. She has only ever done that before with her favorite stuffed animal. All of their other toys they usually share, but I'm going to have to buy another one for my Lab. There is a warniìng that says "Not for aggressive dogs." I definitely recommend this chew toy for medium and large dogs that are big chewers, but not agressive. This toy is a good value for the money and will entice your dog with the bacon scent, keep them occupied chewing or playing, & also help with their dental hygiene.
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Reviewed in the United States on October 18, 2025
★★★★★ 5
Colorful, Sturdy & Great Value
Color: Large Set of 4
Purchased for our two puppies when they were 2 months old and weighed about 14 pounds so theses balls were a little big for them to hold in their mouths but that didn't stop them from trying. While they did like these balls they much preferred softer soccer balls, the later of which did not hold up well at all. I had hoped they would play with these balls more when they were older but that hasn't happened 5 months later. I guess it's no fun if you can't tear the toy apart. Colors are very bright and they do enjoy chasing after them as long as I am the one rolling them across the room for them. Maybe when they progress to batting things with their paws they will start to do this for themselves.
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Reviewed in the United States on May 18, 2025
★★★★★ 5
My pup loves them
Color: Large Set of 4
Colors are bright and my dog loves the squeaky! Good size no worries of choking.
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Reviewed in the United States on September 10, 2025