Challenging Problems in Algebra (Softcover)
Challenging Problems in Algebra (Softcover)
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VERY GOOD: This book is in very good condition, showing most of its use and wear with its slightly bent corners. The pages are free of writing.Product Details
Continued from the back cover: "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 authors call '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."
BRIEF CONTENTS
- Introduction
- Preparing to Solve a Problem
- Section I: First Year Algebra
- Posers: Innocent and Sophisticated
- Arithmetic: Mean and Otherwise
- Relations: Familiar and Surprising
- Bases: Binary and Beyond
- Equations, Inequations, and Pitfalls
- Correspondence: Functionally Speaking
- Equations and Inequations: Traveling in Groups
- Miscellaneous Curiosity Cases
- Section II: Second Year Algebra
- Diophantine Equations: The Whole Answer
- Functions: A Correspondence Course
- Inequalities, More or Less
- Number Theory: Divide and Conquer
- Maxima and Minima: Ups and Downs
- Quadratic Equations: Fair and Square
- Systems of Equations: Strictly Simultaneous
- Algebra and Geometry: Often the Twain Shall Meet
- Sequences and Series: Progression Procession
- Logarithms: A Power Play
- Combinations and Probability: Choices and Chances
- An Algebraic Potpourri
- Answers
- Appendices
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PUBLISHER: Dover Publications
ISBN-13: 9780486691480
ISBN-10: 0486691489