Set Theory

Auteur
Robert André recently completed eighteen years as a Lecturer, Department of Pure Mathematics, University of Waterloo. He holds a Ph.D. graduate from the University of Manitoba specializing in Point-set topology. He has taught high school mathematics for 14 years in Manitoba, Saskatchewan and New Brunswick. Dr. André has lectured general and honors courses at all levels in the undergraduate program.

Texte du rabat

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written and now considered to be "classics" decades ago are still prescribed for students today. These texts are not suitable for today's students. This text is meant for and written to today's mathematics students.

Contenu

1 Axioms and classes

2 Class operations

3 Relations

4 Functions

5 From sets to numbers

6 Infinite sets

7 Cardinal numbers

8 Ordinal numbers

9 More on axioms: Choice, regularity and Martin's axiom

10 Ordinal arithmetic