Notes on Set Theory

en Limba Engleză Paperback – 8 dec 2005

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Specificații

ISBN-13: 9780387287232
ISBN-10: 038728723X
Pagini: 292
Ilustrații: XII, 278 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.45 kg
Ediția:Second Edition 2006
Editura: Springer
Locul publicării:New York, NY, United States

Public țintă

Lower undergraduate

Cuprins

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.

Recenzii

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

Caracteristici

Author is an excellent writer and expositor Treats unusual topics, such as the the continuous least fixed-point theorem and the Baire space Includes solutions to selected exercises, but not to the more challenging problems Includes supplementary material: sn.pub/extras

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