Number Systems and the Foundations of Analysis (Dover Books on Mathematics)
Mendelson, Elliott; Mathematics
Language: English
Published by Dover Publications, Inc., 2008
- Softcover
- New
Seller: Newsboy Books, Ontario, CA, U.S.A.Newsboy Books
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- Title
- Number Systems and the Foundations of Analysis (Dover Books on Mathematics)
- Author
- Mendelson, Elliott; Mathematics
- Publisher
- Dover Publications, Inc.
- 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.
Newsboy Books
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