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portada number systems and the foundations of analysis
Type
Physical Book
Author
Publisher
Language
English
Pages
358
Format
Paperback
Dimensions
21.3 x 14.0 x 2.0 cm
Weight
0.43 kg.
ISBN
0486457923
ISBN13
9780486457925
Categories

number systems and the foundations of analysis

Elliott Mendelson (Author) · Underwood Dudley (Author) · Mathematics (Author) · Dover Publications · Paperback

number systems and the foundations of analysis - Mendelson, Elliott ; Dudley, Underwood ; Mathematics

New Book Imported to New Zealand *
Delivery: 02 Jun - 18 Jun Shipping: 15 to 22 business days.
NZ$ 39.95
* Import costs and 15% GST included in the price ✅
NZ$ 39.95
Delivery to any New Zealand address between Tuesday, June 02 and Thursday, June 18
Origin: U.S.A. Import costs included in the price ✅
Delivery to any New Zealand address between Tuesday, June 02 and Thursday, June 18.

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Synopsis "number systems and the foundations of analysis"

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.

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