Set Theory - An Introduction to Axiomatic Reasoning

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.

List of contents

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

About the author

Robert André recently completed 18 years as a lecturer in the Department of Pure Mathematics, at the University of Waterloo, Ontario, Canada. He earned a PhD 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.

Summary

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.

Product details

• Authors: Robert Andre, Robert André, André Robert
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 12.03.2025
• EAN: 9781032954820
• ISBN: 978-1-0-3295482-0
• No. of pages: 430
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Logic, MATHEMATICS / Set Theory, Discrete Mathematics, Combinatorics & graph theory, Mathematical logic, Combinatorics and graph theory, Set theory, Axioms, Class operators, Functions, Logic