Topics in Recreational Mathematics
This book shows something of the fascination, beauty and power of mathematical ideas. It is based on talks which the author has given to mathematical and scientific audiences, many of whom found the material unfamiliar. The fifteen topics range from the distribution of prime numbers among the integers to the enumeration of the seventeen distinct types of wall-paper pattern. (The standard of mathematics assumed in the reader is roughly that of British university entrance requirements and its equivalent overseas.) The book should be of particular value in sixth-form libraries and to teachers of mathematics at various levels who are looking for new and unusual examples to enliven their work.
Product details
January 2009Paperback
9780521096201
196 pages
229 × 152 × 11 mm
0.3kg
Available
Table of Contents
- 1. Regular Polyhedra
- 2. The Fibonacci Sequence
- 3. Nested Polygons
- 4. The Distribution of Prime Numbers
- 5. Inversion in Elementary Geometry
- 6. Some Ruled Surfaces
- 7. Random Walks
- 8. The Four-Colour Problem
- 9. Dissection Problems in Two and Three Dimensions
- 10. Newton's Polygon and Plane Algebraic Curves
- 11. The Plane Symmetry Groups
- 12. The Real Number System
- 13. A Theorem of Combinatorial Geometry
- 14. The Number Pi
- 15. Rotors and Curves of Constant Breadth.