Designed for high-school students and teachers with an interest in mathematical problem-solving, this stimulating collection includes more than 300 problems that are "off the beaten path" — i.e., problems that give a new twist to familiar topics that introduce unfamiliar topics. With few exceptions, their solution requires little more than some knowledge of elementary algebra, though a dash of ingenuity may help.

Readers will find here thought-provoking posers involving equations and inequalities, diophantine equations, number theory, quadratic equations, logarithms, combinations and probability, and much more. The problems range from fairly easy to difficult, and many have extensions or variations the author calls "challenges."

By studying these nonroutine problems, students will not only stimulate and develop problem-solving skills, they will acquire valuable underpinnings for more advanced work in mathematics.

SECTION I First Year Algebra Problems Solutions

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

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