Preface to the Dover EditionPreface to the First Edition1. Mathematics in General2. Motion without Movement3. Short Cuts in the Higher Arithmetic4. The Language of Sets5. What is a Function?6. The Beginnings of Abstract Algebra7.
Symmetry: The Group Concept8. Axiomatics9. Counting: Finite and Infinite10. Topology11. The Power of Indirect Thinking12. Topological Invariants13. Algebraic Topology14. Into Hyperspace15. Linear Algebra16.
Real Analysis17. The Theory of Probability18. Computers and Their Uses19. Applications of Modern Mathematics20. FoundationsAppendixNotesGlossary of SymbolsIndex