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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
Fantastic soap for the dermatitis and eczema prone
You guyyyyysss, my hands have no dry, itchy spots right now. None. This is remarkable because before now I have for years had issues with eczema/contact dermatitis patches that have at times (aka: most times) been pretty unbearable. To say that I’m overjoyed to have found a natural soap that truly works for me is an understatement. When you use this, you can feel that it’s moisturizing your skin. It’s fantastic. If you haven’t tried it, do yourself a favor and get yourself a bar. I’m wondering now if I can use it on my entire body and to wash my hair. That’s probably a little overboard, but it’s that good and now that I’ve used it I suspect all my skin problems are contact dermatitis that could be solved by the right soap/shampoo.
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Reviewed in the United States on June 30, 2022
★★★★★ 5
It works
It works great
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Reviewed in the United States on February 23, 2026
★★★★★ 5
Best I’ve found yet for facial psoriasis
Anyone who has facial psoriasis will tell you there are not a lot of products that you can put on your face without irritation or flareups. This soap is just what I needed. There are no irritating chemicals or perfumes in this soap. I have read other reviews that the soap does not last very long but there is a way to use it to make it last. First, I wet my face and then I wet my fingertips and rub my finger tips across the dry bar of soap and then lightly rub my face with my fingertips softening the plaques and then lightly wash with a soft cotton washcloth. It is not really moisturizing but not over drying either. I follow up with an organic vegetable-based glycerin oil to moisturize. This is the best product I have found yet.
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Reviewed in the United States on June 2, 2020
★★★★★ 5
Heals skin
It definitely dries out your skin quickly but I do recommend moisture so the skin won’t crack or you get open cuts as your dermatitis is healing. I have dermatitis really bad where my skin drys and hurts when I have a cut, So far it’s working as intended.
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Reviewed in the United States on April 11, 2026
★★★★★ 5
Great Product!
This soap worked very well. I have sensitive skin it didn’t irritate my skin during an allergic reaction or make my skin feel dry.
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Reviewed in the United States on July 16, 2025
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