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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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4.1 ★★★★★
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★★★★★ 5
Wonderful for dry feet
Material Type: Black - 3 Pairs, Size: X-Large
I have been dealing with dry skin and problems with the heel of my foot, so I thought I would give these a try. I am so glad I did. They moisturize beautifully. A must is you are having trouble with your feet.
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Reviewed in the United States on May 20, 2026
★★★★★ 5
Heel Fisures
Material Type: Black - 3 Pairs, Size: X-Large
Fantastic product. Worked well beyond my expectations.
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Reviewed in the United States on May 20, 2026
★★★★★ 4
X-Large is about a size 12-13 shoe size foot USA.
Material Type: Black - 3 Pairs, Size: X-Large
I love them they work fantastic. I am a big guy with swollen feet. Wear size 12 to 13 USA Shoes. They fit me just fine not tight. My feet felt good after wearing them for two days. Some dry skin pulled off with them and it says to wash by hand. I dont know about the durability but I am hoping to get about 5 uses per pair. Before they become unusable.
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Reviewed in the United States on February 7, 2026
★★★★★ 5
Comfortable
Material Type: Black - 2 Pairs, Size: X-Large, Material Type: Black - 2 Pairs, Size: X-Large
I have very sensitive skin, so I usually need to wear socks at all times. These are especially comfortable because they don’t cover the toes, which helps with temperature control. The material is well-balanced—not too thick or too thin—and has just the right amount of stretch. I also appreciate the large traction area, which adds stability. Another plus is that they are completely fragrance-free.
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Reviewed in the United States on April 21, 2026
★★★★★ 5
Great Heel Socks
Material Type: Black - 3 Pairs, Size: Large
I don't know how they work but it's wonderful. I've had rough heel problems for a long time. I wear these everyday and my heels are not rough. They're not baby bottom smooth, but they are not ever going to be. These heel socks also oncce they are properly positioned snap onto the heel. Properly positioning them is easy when you put them on your foot with the heel cup in the correct orientation.
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Reviewed in the United States on April 14, 2026
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