Description
Parabola is a mathematics magazine published by UNSW, Sydney. Among other things, each issue of Parabola has contained a collection of puzzles/problems, on various mathematical topics and at a suitable level for younger (but mathematically sophisticated) readers.
Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola collects the very best of almost 1800 problems and puzzles into a single volume. Many of the problems have been re-mastered, and new illustrations have been added. Topics covered range across geometry, number theory, combinatorics, logic, and algebra. Solutions are provided to all problems, and a chapter has been included detailing some frequently useful problem-solving techniques, making this a fabulous resource for education and, most importantly, fun!
Features
- Hundreds of diverting and mathematically interesting problems and puzzles.
- Accessible for anyone with a high school-level mathematics education.
- Wonderful resource for teachers and students of mathematics from high school to undergraduate level, and beyond.
Table of Contents
1. Problems. 2. Solutions. 3. Some Useful Problem-solving Techniques. 3.1. Greatest Common Divisor. 3.2. Solving Linear Diophantine Equations. 3.3. Modular Arithmetic. 3.4. Graph Theory. 3.5. Basic Combinatorics. 3.6. The Binomial Theorem. 3.7. Some Trigonometric Formulae. 3.8. Proof by Mathematical Induction. 3.9. Pick’s Theorem. 3.10. Roots and Coefficients of Polynomials. 3.11. Inequalities.
