Articoli correlati a Notes on Set Theory
Sinossi
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.
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Recensione
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
Contenuti
Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice’s consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index
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Notes on set theory. With 48 figures.
Editore:
New York, Springer, 2006
ISBN 10: 0387287221
ISBN 13: 9780387287225
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Hardcover. 2. ed. xii, 276 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. D03783 9780387287225 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2513488
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Notes on Set Theory
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Author is an excellent writer and expositorTreats unusual topics, such as the the continuous least fixed-point theorem and the Baire spaceIncludes solutions to selected exercises, but not to the more challenging problemsThe axiomatic th. Codice articolo 5909742
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Notes on Set Theory
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Buch. Condizione: 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. Codice articolo 9780387287225
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Notes on Set Theory
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Springer New York, Springer US Dez 2005, 2005
ISBN 10: 0387287221
ISBN 13: 9780387287225
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Buch. Condizione: Neu. 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. Codice articolo 9780387287225
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Notes on Set Theory (Undergraduate Texts in Mathematics)
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Notes on Set Theory (Undergraduate Texts in Mathematics)
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Notes on Set Theory
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Notes on Set Theory
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Springer New York, Springer US, 2005
ISBN 10: 0387287221
ISBN 13: 9780387287225
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780387287225
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Notes on Set Theory
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Notes on Set Theory
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Springer-Verlag New York Inc., 2005
ISBN 10: 0387287221
ISBN 13: 9780387287225
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 616. Codice articolo C9780387287225
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