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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
Beautiful but hurts
Size: 8.5, Color: Black-pu
True to size
Quality was great
I wore them for a wedding but the plastic strap made my feet hurt after a while
These are really a show stopper! Had plenty of people ask me where I bought them from
But be ready to apply bandaids
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Reviewed in the United States on October 12, 2025
★★★★★ 5
Adorable! 🥰
Size: 7.5, Color: Champagne-pu, Size: 7.5, Color: Champagne-pu
Can be a little uncomfortable if you’re a wide foot girly but overall comfy. A little slippery after lotion and some heat (I live in the muggy south), I’d possibly size down. Once you break them in they’re a little loose, at least for me. I usually wear a 6.5-7 I got a 7.5 to accommodate for the width. I could’ve done with just a 7.
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Reviewed in the United States on March 28, 2026
★★★★★ 5
Love these sparkly beauties!
Size: 9, Color: Silver-pu
Ahhh!! So pretty! Very comfortable as they aren't too high. They are super sparkly, especially in the sunlight! Received tons of compliments! I can't wait to wear them again!
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Reviewed in the United States on May 12, 2026
★★★★★ 5
My favorite
Size: 11, Color: Gold-pat, Size: 11, Color: Gold-pat
I'm absolutely in love with these heels! They are even more beautiful in person-the rhinestone bow adds the perfect touch of sparkle and elegance. The fit is comfortable, and the ankle strap keeps them secure while walking. The heel height is just right, giving a classy look without hurting my feet. Perfect for weddings, parties, or any special occasion. I received so many compliments-highly recommend!
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Reviewed in the United States on April 21, 2026
★★★★★ 5
Simple and sexy
Size: 8.5, Color: White/Pat
I love the shoes. They were true to size, and no hang over in the front. I did a lot of walking with these shoes. Very comfortable throughout the night.
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Reviewed in the United States on May 8, 2026