Yiannis Moschovakis

Notes on Set Theory

• Gebundenes Buch

Produktbeschreibung

The axiomatic theory of sets is a vibrant part of pure mathematics, and is also viewed as a foundation of mathematics. This book addresses both pure math and the fundamentals. The new edition is reworked and expanded for improved presentation.

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Produktdetails

• Undergraduate Texts in Mathematics
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 10993224, 978-0-387-28722-5
• 2nd ed.
• Seitenzahl: 292
• Erscheinungstermin: 21. Dezember 2005
• Englisch
• Abmessung: 241mm x 161mm x 22mm
• Gewicht: 590g
• ISBN-13: 9780387287225
• ISBN-10: 0387287221
• Artikelnr.: 22304136

Autorenporträt

Yiannis Moschovakis, UCLA Mathematics Department, Los Angeles, CA, USA

Inhaltsangabe

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.

Rezensionen

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