Set Theory Read it, Absorb it and Forget it
This is an introductory textbook that introduces concepts in set theory that all students must know. The construction of various number systems and the real number system with the help of Dedekind cut approach are provided. The properties of the real number system are given in detail. The equivalent...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Oxford, United Kingdom
Alpha Science International Ltd
2016
©2016 |
| Subjects: | |
| Online Access: | Click Here to View Status and Holdings. |
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Add Tag | Summary: | This is an introductory textbook that introduces concepts in set theory that all students must know. The construction of various number systems and the real number system with the help of Dedekind cut approach are provided. The properties of the real number system are given in detail. The equivalent statements of the Axiom of Choice are given and the equivalence is proved. A surprising consequence of the Axiom of Choice is discussed in the book. The detailed properties of the ordinals and the cardinals are also discussed. At the end an appendix is added which counts the number of elements in various important finite sets |
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| Physical Description: | x, 145 pages 26 cm |
| Bibliography: | Includes bibliographical references (pages 141-142) and index |
| ISBN: | 9781783322572 |
Theory of sets