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Concepts of Modern Mathematics
by Ian Stewart

ISBN: 0486284247
Dover Publications Price: $14.95 		click here to see this book


In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and other subjects. No advanced mathematical background is needed to follow thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, and more. 200 illustrations.

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