Set Theory: An Introduction to Axiomatic Reasoning [Hardcover]

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

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 todays students. This text is meant for and written to todays mathematics students.

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

Set theory is a pure mathematics endeavor in the sense that it seems to have no immediate applications; yet the knowledge and skills developed in such a course can easily branch out to various fields of both pure mathematics and applied mathematics.

Rather than transforming the reader into a practicing mathematician, this book is more designed to initiate the reader to what may be called mathematical thinking while developing knowledge about foundations of moderlCh