Introduction
Preparing to Solve a Problem
SECTION I First Year Algebra
1. Posers: Innocent and Sophisticated
2. Arithmetic: Mean and Otherwise
3. Relations: Familiar and Surprising
4. Bases: Binary and Beyond
5. "Equations, Inequations, and Pitfalls"
6. Correspondence: Functionally Speaking
7. Equations and Inequations: Traveling in Groups
8. Miscellaneous: Curiosity Cases
SECTION II Second Year Algebra
9. Diophantine Equations: The Whole Answer
10. Functions: A Correspondence Course
11. "Inequalities, More or Less"
12. Number Theory: Divide and Conquer
13. Maxima and Minima: Ups and Downs
14. Quadratic Equations: Fair and Square
15. Systems of Equations: Strictly Simultaneous
16. Algebra and Geometry: Often the Twain Shall Meet
17. Sequences and Series: Progression Procession
18. Logarithms: A Power Play
19. Combinations and Probability: Choices and Chances
20. An Algebraic Potpourri
Answers
Appendices