Overview

For a one- or two-semester course, the third edition of this work covers the basics: relations, functions and orderings; finite, countable and uncountable sets; and cardinal and ordinal numbers. It also provides chapters to supplement the basic course or serve as a second-semester syllabus. It consolidates the material on real numbers in a single updated chapter, and gives end-of-section problems.

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9780824779153

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Reviews

""The book remains an excellent text for a senior undergraduate or first-year graduate level course. There 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

""The book remains an excellent text for a senior undergraduate or first-year graduate level course. There 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

"""The book remains an excellent text for a senior undergraduate or first-year graduate level course. There 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"

The book remains an excellent text for a senior undergraduate or first-year graduate level course. There 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

Author Information

Hrbacek, Karel; Jech, Thomas

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