Concepts of Modern Mathematics

Noted mathematician uses humor to illuminate "new math"; groups, sets, subsets, topology, Boolean algebra and more.

Preface to the Dover Edition
Preface to the First Edition
1. Mathematics in General
2. Motion without Movement
3. Short Cuts in the Higher Arithmetic
4. The Language of Sets
5. What is a Function?
6. The Beginnings of Abstract Algebra
7. Symmetry: The Group Concept
8. Axiomatics
9. Counting: Finite and Infinite
10. Topology
11. The Power of Indirect Thinking
12. Topological Invariants
13. Algebraic Topology
14. Into Hyperspace
15. Linear Algebra
16. Real Analysis
17. The Theory of Probability
18. Computers and Their Uses
19. Applications of Modern Mathematics
20. Foundations
Appendix
Notes
Glossary of Symbols
Index