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Description
Number Systems and the Foundations of AnalysisThis study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs. Starting with the basic facts and notions of logic and set
This study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs.Starting with the basic facts and notions of logic and set theory, the text offers an axiomatic presentation of the simplest structure, the system of natural numbers. It proceeds, by set-theoretic methods, to an examination of integers that covers rings and integral domains, ordered integral domains, and natural numbers and integers of an integral domain. A look at rational numbers and ordered fields follows, along with a survey of the real number system that includes considerations of least upper bounds and greatest lower bounds, convergent and Cauchy sequences, and elementary topology. Numerous exercises and several helpful appendixes supplement the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/18/2008
ISBN: 9780486457925
Pages: 368
Weight: 0.95lbs
Size: 8.40h x 5.50w x 0.80d
Review Citations: Scitech Book News 03/01/2009 pg. 35
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★★★★★ 4
Perfect book to celebrate Dec. 21
Format: Hardcover
Perfect for the winter solstice read aloud!
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Reviewed in the United States on December 9, 2025
★★★★★ 5
Awesome Book
Format: Hardcover
This is a very cute story with lots of beautiful illustrations. This author is one to follow. I highly recommend.
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Reviewed in the United States on December 11, 2023
★★★★★ 5
What a sweet little read!
Format: Kindle
Perfect story for this time of year, as we enter the season of winter with its short days and the tendency to be grey. This is a season of rest and renewal, with the promise of light and joy in the days to follow, when we face it with hope!
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Reviewed in the United States on December 26, 2025
★★★★★ 5
If you have sensitive skin and dont want premium prices, Cremo’s body wash is an excellent option A+
Scent: Palo Santo, Size: 16 Fl Oz (Pack of 1), Scent: Palo Santo, Size: 16 Fl Oz (Pack of 1)
Cremo’s body wash for men has become a staple in our household. The product exudes a luxurious feel, from the rich lather to the clean, long-lasting scent that genuinely resembles a more expensive fragrance.
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Highly Recommended. 5/5 Stars.
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Reviewed in the United States on October 5, 2025
★★★★★ 5
If you want a great soap in a budget, buy Cremo body wash.
Scent: Cypress Santal, Size: 16 Fl Oz (Pack of 1)
Really good soap!! Leaves your skin soft and smells great. Light fragance and provides a good lather.
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Reviewed in the United States on April 25, 2026