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Description
The Real Number SystemConcise but thorough and systematic, this categorical discussion of the real number system presents a series of step by step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises more than 300, all with
Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises--more than 300, all with answers provided--make this a particularly valuable book for self-study.The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/12/2018
ISBN: 9780486827643
Pages: 240
Weight: 0.75lbs
Size: 8.90h x 6.00w x 0.50d
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★★★★★ 5
This is an awesome product and affordably priced! I'll buy more in the future!
Color: Comet - Small, Size: Small
This is a great ball for my dog Polly! It doesn't stink or have any weird oils on the ball. It is definitely durable. It has a nice chirping sound and it's great exercise for my dog's jaws. It's not too bouncy and it's the perfect weight that she feels satisfied having in her mouth and when she catches it in mid-air. It's not too heavy that I have to worry about it knocking her teeth out. I almost cancelled the order after I found out the size of the ball, I thought it was a larger ball that Bark makes. It turns out it is larger than a tennis ball which is what I wanted. Someone gave us a black, knobby, ball that is 12.5 inches in diameter and she absolutely loves it, it's her favorite ball. It's the perfect size for her American Pit Bull mouth! I cannot find this product anywhere or a comparable alternative that's the same size. If you know where I can purchase another ball that I've described @ 12.5 in. diameter, please let me know! I'll likely buy this ball that was just delivered, today, in the future, if it's not discontinued! It's a great deal for only $14.99!! Thanks from a happy satisfied customer, V.B.
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Reviewed in the United States on April 23, 2024
★★★★★ 5
First toy he CANNOT destroy in minutes!!!
Color: Comet - Small, Size: Small, Color: Comet - Small, Size: Small
Only ball he has not destroyed in minutes!!! So good that I purchased a second one for travel. It keeps him busy and tires him out because he cannot break it!😆
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Reviewed in the United States on January 23, 2026
★★★★★ 4
Sort of good for tough chewers??
Color: Deep Roots Carrot - Small, Size: Small Dog
The actual carrot part (orange part) is tough chewer approved and my dog loves. It’s basically the same shape and size as his kong. However the leaves (green part) is not tough chewer approved. He ripped ALL those leaves off and ate them within 5 minutes of me giving him the toy. However they passed through him fine.
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Reviewed in the United States on June 8, 2025
★★★★★ 5
Aggressive chewer puppy approved
Color: Cinamutt Roll - Large, Size: Large
My aggressive chewer puppy loves this. It is pretty sturdy. He hasn't destroyed it yet and he's had it for over 3 months now.
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Reviewed in the United States on March 10, 2026
★★★★★ 1
Pieces off in minutes.
Color: Origin - Large, Size: Medium/Large Dog
My pup chewed pieces off in minutes.
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Reviewed in the United States on June 6, 2026
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