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The Real Number System

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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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SKU: 98549065313

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It's cool.
Grantham, US
★★★★★ 4
Weightless, well made. But there are problems with size
Size: 8.5, Color: White
I bought it for a teenager, for size 81/2. This, according to the dimensions on the page, is 25.9 centimeters. They came, the size was indicated correctly, but they are large for the child. Very large. They fit me, size 10. The child is disappointed. Well made, look neat on the foot. Almost weightless But I can't give the maximum rating. I wish the seller to deal with the size grid.
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Reviewed in the United States on April 15, 2026
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Matthew Gonzales
Birmingham, US
★★★★★ 5
Amazing Shoe!
Size: 9 Wide, Color: Blazer Blue Hand Stain
Amazing shoe!! Comfortable to wear for long periods of time! Highly recommend!! 👍🏾
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Reviewed in the United States on November 17, 2025
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William Mantilla
Los Angeles, US
★★★★★ 5
Calzado elegante para oficina de excelente calidad
Producto de excelente calidad. La entrega fue rápida y el empaque llegó en perfectas condiciones. Cumple completamente con lo descrito en la publicación.
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Reviewed in the United States on April 28, 2026
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MH
Fort Morgan, US
★★★★★ 3
Not A Walking Shoe
Size: 9.5, Color: Black/British Tan
In the photo online this shoe looks like it will be very comfortable. Kind of a classy Coach's Shoe. Also in the photo the heel portion of the sole looks thick and supportive. I bought them thinking they would be my go-to travel shoe. Wrong. This is not a comfortable shoe for extended wear. Short durations, OK. The main problem is that the sole is very thin and flexible in all directions. There is no, as in zero arch support, plus that thin heel means that you tend to rock back on your heels and it feels like you're pounding the pavement. I've worn once and I'm very disappointed. They look great, definitely high quality materials, but using them for the intended purpose of travel.... fah get about it. If you're looking for a good looking shoe to wear around the gym and you don't intend to use the treadmill, or elliptical, then this is the shoe you want. They would definitely be returned if I hadn't already worn them outside.
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Reviewed in the United States on August 11, 2023
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DF
Port Orchard, US
★★★★★ 5
Great shoe!
Size: 14 Wide, Color: Woodbury Handstain
Great shoe- better leather cover than last pair that scuffed if you blinked at them.
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Reviewed in the United States on March 15, 2026

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