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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
Quality wine opener.
Color: 7-in-1 Silver, Size: Rechargeable Set
I really like this wine opener. It's well made. The foil cutter is metal unlike the last one I had that was plastic and broke. The wine stopper works well to take air out of the bottle and seal it. It also has a cool blue light that comes on when in use and charging.
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Reviewed in the United States on March 29, 2026
★★★★★ 5
works great
Color: 7-in-1 Silver, Size: Rechargeable Set
I bought this as a gift for friends and they love it. They use it all the time. It works great and the accessories are nice too. The have had it for 3 months and it seems to be holding up well.
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Reviewed in the United States on April 7, 2026
★★★★★ 5
Works great keep it charged
Color: 7-in-1 Silver, Size: Rechargeable Set
If you drink wine and you have a cork in your wine bottles, this opener works great Keep it charged.
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Reviewed in the United States on April 3, 2026
★★★★★ 5
Great for wine people
Color: 7-in-1 Silver, Size: Rechargeable Set
I have one of these and like it so much I bought one for a Christmas gift
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Like that it can be charged while it's stored
Color: 7-in-1 Silver, Size: Rechargeable Set
I like that this wine bottle opener can be charged on the stand, making it always ready to perform. No worry about batteries or needing a charge before the dinner/party. It's handy to have the foil cutter and aerator beside the bottle opener and the stoppers which use the end of the bottle opener to remove air from partial bottles for temporary storage were a plus!
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Reviewed in the United States on February 22, 2026