Number Systems and the Foundations of Analysis
Language: English
Published by DOVER PUBN INC, 2008
- Softcover
- New
Condition: New
£ 18.53
Quantity: Over 20 available
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KlappentextrnrnGeared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.
Seller Inventory # 898069596
- Title
- Number Systems and the Foundations of Analysis
- Author
- Mendelson, Elliott|Dudley, Underwood|Mathematics
- Publisher
- DOVER PUBN INC
- Publication year
- 2008
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486457923
- ISBN 13
- 9780486457925
- Series
- Book 16 of 303: Dover Books on Mathematics
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.
"Synopsis" may belong to another edition of this title.
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