Introduction to Set Theory, Revised and Expanded
Introduction to Set Theory, Revised and Expanded
Résumé
A text for mathematics courses that covers the basics such as relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It includes material on normal forms and Goodstein sequences. It provides important ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.
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Introduction to Set Theory, Revised and Expanded by Karel Hrbacek
Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions."The book remains an excellent text for a senior undergraduate or first-year graduate level courseThere is sufficient material for instructors of widely differing views to assemble one-semester courses. . ..the chapter on the axiom of choice is particularly strong. "
---Mathematical Reviews
". . .a fine text. . ..The proofs are both elegant and readable. "
---American Mathematical Monthly
". . .offers many benefits including. . .interesting applications of abstract set theory to real analysis. . .enriching standard classroom material. "
---L'Enseignement mathematique
". . .an excellent and much needed book. . .Especially valuable are a number of remarks sprinkled throughout the text which afford a glimpse of further developments. "
---The Mathematical Intelligencer
"The authors show that set theory is powerful enough to serve as an underlying framework for mathematics by using it to develop the beginnings of the theory of natural, rational, and real numbers. "
---Quarterly Review of Applied Mathematics
". . .In the third edition, Chapter 11 has been expanded, and four new chapters have been added. "
---Mathematical Reviews
| SKU | Non disponible |
| ISBN 13 | 9780824779153 |
| ISBN 10 | 0824779150 |
| Titre | Introduction to Set Theory, Revised and Expanded |
| Auteur | Karel Hrbacek |
| Série | Chapman And Hall Crc Pure And Applied Mathematics |
| État | Non disponible |
| Éditeur | Taylor & Francis Inc |
| Année de publication | 1999-06-22 |
| Nombre de pages | 310 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |