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Table of Contents for Concepts of Modern Mathematics

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