Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.
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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
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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
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Produktdetaljer

ISBN
9780486691480
Publisert
2003-03-28
Utgiver
Dover Publications Inc.
Vekt
300 gr
Høyde
215 mm
Bredde
136 mm
Dybde
19 mm
Aldersnivå
01, UU, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
288

Biografisk notat

Al Posamentier is currently Dean of the School of Education and Professor of Mathematics Education at Mercy College, New York. He is Professor Emeritus of Mathematics Education at The City College of the City University of New York, and former Dean of the School of Education, where he was for 40 years. He is the author and co-author of more than 55 mathematics books for teachers, secondary and elementary school students, and the general readership. Dr. Posamentier is also a frequent commentator in newspapers and journals on topics relating to education. Alfred S. Posamentier: Math's Champion Dr. Alfred S. Posamentier, Professor Emeritus of Mathematics Education at New York's City College and, from 1999 to 2009, the Dean of City College's School of Education, has long been a tireless advocate for the importance of mathematics in education. He is the author or co-author of more than 40 mathematics books for teachers, students, and general readers including The Fascinating Fibonacci Numbers (Prometheus, 2007) and Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers (Prometheus, 2009). His incisive views on aspects of mathematics education may often be encountered in the Letters columns and on the op-ed pages of The New York Times and other newspapers and periodicals. For Dover he provided, with co-author Charles T. Salkind, something very educational and also fun, two long-lived books of problems: Challenging Problems in Geometry and Challenging Problems in Algebra, both on the Dover list since 1996. Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner's career in 2009: "Teachers shouldn't think that textbook exercises provide problem-solving experiences — that's just drill. Genuine problem solving is what Mr. Gardner has been espousing. Genuine problem solving provides a stronger command of mathematics and exhibits its power and beauty. Something sorely lacking in our society."