Book:Ian Stewart/Concepts of Modern Mathematics

Contents

 * 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