Mathematical Gems III
Mathematical Gems III follows and strengthens the tradition established by Honsberger's earlier works, all best sellers and winners of rave reviews. It has something for everyone - students, teachers, and armchair mathematicians alike. Here you will find gems from elementary combinatorics, number theory, and geometry. Each essay contains historical commentary, interesting anecdotes, mathematical background, and a careful discussion built around a famous problem, theorem, or mathematician. It also contains a collection of fascinating and illuminating exercises related to the topics of the essays.
- By the very popular author of More Mathematical Morsels and other books
- Enjoyable mix of anecdotes, mathematical background, and puzzles
- Superb reviews in US press
Reviews & endorsements
'Written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures.' Mathematics and Computer Education
Product details
November 1997Paperback
9780883853184
260 pages
216 × 141 × 16 mm
0.305kg
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
- 1. Gleanings from combinatorics
- 2. Gleanings from geometry
- 3. Two problems in combinatorial geometry
- 4. Sheep fleecing with Walter Funkenbusch
- 5. Two problems in graph theory
- 6. Two applications of generating functions
- 7. Some problems from the Olympiads
- 8. A second look at the Fibonacci and Lucas numbers
- 9. Some problems in combinatorics
- 10. Four clever schemes in cryptography
- 11. Gleanings from number theory
- 12. Schur's theorem: an application of Ramsey's theorem
- 13. Two applications of Helly's theorem
- 14. An introduction to Ramanujan's highly composite numbers
- 15. On sets of points in the plane
- 16. Two surprises from algebra
- 17. A problem of Paul Erdös
- 18. Cai Mao-Cheng's solution to Katona's problem on families of separating subsets.