Number Systems and the Foundations of Analysis (Paperback)
Language: English
Published by Dover Publications Inc., New York, 2008
- Softcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 25.31
Quantity: 1 available
Add to basketItem description from seller
Paperback. 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. Geared 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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. …
Seller Inventory # 9780486457925
- Title
- Number Systems and the Foundations of Analysis (Paperback)
- Author
- Elliott Mendelson
- Publisher
- Dover Publications Inc., New York
- Publication year
- 2008
- Condition
- new
- Binding
- Paperback
- 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.
AussieBookSeller
Truganina, VIC, Australia
AbeBooks seller since June 22, 2007
Shipping rates from Australia to U.S.A.
| Item | 25 to 45 business days | 8 to 14 business days |
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| First item | £ 27.97 | £ 33.26 |
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The Nile Group Pty Ltd
42 Apex Drive
Truganina, VIC Australia 3029
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