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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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★★★★★ 5
Has the look that they should cost more.
Size: 11.5 Wide, Color: Dark Turquoise
Comfortable and the fit is very comfortable. Looks great and extremely comfortable. Soft and light weight. Easy to put on. Sizing was perfect and the wide width is truly a wide. I’m coming back for more colors.
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Reviewed in the United States on June 1, 2026
★★★★★ 4
Good at price
Size: 9 Wide, Color: Sand
Fit a little small at my big toe but otherwise fit well. Heel rubbed slightly first 5 hour wear but no blister.
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Reviewed in the United States on May 9, 2026
★★★★★ 5
Lightweight comfortable at a good price!
Size: 10.5, Color: Navy
These shoes are perfect. The color matches my navy outfits as well as my denim. They are comfortable and they look great. They are easy to pack lightweight and a great value.
I am extremely satisfied and highly recommend!
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Reviewed in the United States on June 3, 2026
★★★★★ 3
REALLY CUTE SHOE BUT CUT WAY TOO SMALL!
Size: 8, Color: Black Patent
I received the black patent leather shoes today and they are so cute! Sadly I need to return them because they are cut way too small. I normally wear a 7.5 or 8 on dress shoes so I ordered the 8. They are so tight across the top that it's uncomfortable as soon as I put them on. They are smaller than a normal size 8 dress shoe. The big toe area is extremely uncomfortable because it doesn't allow any room for it at all, so my big toe just presses against the side and end of the shoe without even walking in them. I have very narrow feet and these still are too small for me. So I am returning them and I already ordered a 8.5 W and hope that will fit much better. The patent leather is very cute and adds just enough dressy that I can wear them with slacks or my Capri jeans. I like the slip on and the cushion foot bed because it feels soft.
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Love these flats!
Size: 9 Wide, Color: Black White Faux Snake Skin, Size: 9 Wide, Color: Black White Faux Snake Skin
One of my favorite pair of flats! I’ve had these for several years and they are still comfortable, in good shape and really add a little spice to my outfits. I can wear these all day and not have any foot pain or discomfort as a result. The quality is good, fit is perfect and I tend to have difficulty with shoes due to bunions. Love these!!
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Reviewed in the United States on May 23, 2026