The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets, and also attempts to explain how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author has added solutions to the exercises, and rearranged and reworked the text to improve the presentation. The book is geared to advanced undergraduate or beginning graduate mathematics students and mathematically minded graduate students in computer science and philosophy.
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About the First Edition:
This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.
- Joel David Hamkins, Journal of Symbolic Logic
This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
- Achille C. Varzi, History and Philosophy of Logic
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Seller: BookHolders, Towson, MD, U.S.A.
Condition: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: Second ] Publisher: Springer Pub Date: 12/21/2005 Binding: hardcover Pages: 276 Second edition. Seller Inventory # 6946421
Seller: Friends of the Salem Public Library, Salem, OR, U.S.A.
Hardcover. Condition: As New. No Jacket. 2nd Edition. First printing of the stated second edition, ©2006. 8vo. 276 pages. Illustrated throughout with mathematical formulas. Solutions to the Exercises in Chapters 1 - 12. Index. Cased in glossy yellow paper-covered boards. No dust jacket, probably as issued. No signs of previous ownership. Not a library discard. A bright, crisp copy in as-new condition. One title in the publisher series "Undergraduate Texts in Mathematics.". Seller Inventory # 002731
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that 'to make a notion precise' simply means 'to define it in set theory.' This book gives a solid introduction to 'pure set theory' through transfinite recursion and the construction of the cumulative hierarchy of sets, and also attempts to explain how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author has added solutions to the exercises, and rearranged and reworked the text to improve the presentation. 292 pp. Englisch. Seller Inventory # 9780387287225
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