Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers

Overview

If you've been waiting for a book that will evoke the delight and intrigue that mathematics has to offer, this is the book for you.

What are the odds of finding two people who share the same birth date in a room of thirty-five? Most people would guess they're pretty low. In actuality, the probability is better than 80 percent. This is just one of many entertaining examples of mathematical curiosities presented. Two veteran math educators have created the perfect introduction to ...

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Overview

If you've been waiting for a book that will evoke the delight and intrigue that mathematics has to offer, this is the book for you.

What are the odds of finding two people who share the same birth date in a room of thirty-five? Most people would guess they're pretty low. In actuality, the probability is better than 80 percent. This is just one of many entertaining examples of mathematical curiosities presented. Two veteran math educators have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject.

Among the entertaining and useful tricks they teach are shortcuts in arithmetic, such as ways to determine at a glance the exact divisors of any given number. They also demonstrate how the properties of certain numbers can lead to infinite loops. What is particularly exciting is how many correct answers turn out to be counterintuitive. Exploring all these features will instill insights into the nature of numbers, improve your ability to manipulate them, and give you an appreciation for the inherent elegance of mathematics.

As you marvel at the many unusual relationships and novelties revealed in this ingenious and delightful presentation, you'll be learning more math than you ever thought possible - and will be relishing every moment of it!

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Editorial Reviews

From the Publisher
"This book's strength is that it is exactly what it purports to be-a casual stroll through sometimes complicated mathematical relationships without the heavy lifting of having to understand unfamiliar mathematical notations or ideas. . . . This book is a nice little treasure that a teacher could use to introduce a lesson on currency, recursion, or many other varied mathematical topics. The best thing it does is invoke feelings of wonderment."

- Mathematics Teacher

"Recommended."

- Choice

Children's Literature - Laura Backman
What are the odds of finding two people who share the same birth date in a room of thirty-five? Many people would guess the odds are low. Actually, the probability is better than eighty percent. This is just one of many examples presented in this entertaining and engaging book. It demonstrates how fun numbers can be, just given the chance. Math experts and beginners alike will expand their knowledge and be entertained. The five chapters are titled: "Number Properties and Relationships, Arithmetic Entertainments and Novelties, Arithmetic Loops, Geometry Surprises," and "Mathematical Nuggets: Amazing, but True!" An afterward is presented by Nobel Laureate H.A. Hauptman. It also includes an appendix that lists Triangular, Square, and Cubic Numbers. Among the entertaining and useful tricks are shortcuts in arithmetic, such as ways to determine, at a glance, the exact divisors of any given number, and how the properties of certain numbers can lead to infinite loops. An entertaining read for the general audience and experts alike. Reviewer: Laura Backman
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Product Details

  • ISBN-13: 9781591027232
  • Publisher: Prometheus Books
  • Publication date: 7/28/2009
  • Pages: 375
  • Sales rank: 1,375,828
  • Product dimensions: 6.90 (w) x 9.90 (h) x 0.70 (d)

Meet the Author

Alfred S. Posamentier is dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, New York. Previously, he had the same positions at the City College of the City University of New York for forty years.  He has published over fifty-five books in the area of mathematics and mathematics education, including The Fabulous Fibonacci Numbers (with Ingmar Lehmann). 
 
Ingmar Lehmann is retired from the mathematics faculty at Humboldt University in Berlin. For many years he led the Berlin Mathematics Student Society for gifted secondary-school students, with which he is still closely engaged today.  He is the coauthor with Alfred S. Posamentier of The Secrets of TrianglesThe Glorious Golden Ratio, and three other books.

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Table of Contents

Contents

PREFACE....................7
Chapter 1. Amazing Number Properties and Relationships....................9
Chapter 2. Arithmetic Entertainments and Novelties....................55
Chapter 3. Arithmetic Loops....................97
Chapter 4. Geometry Surprises....................147
Chapter 5. Mathematical Nuggets: Amazing, but True!....................197
AFTERWORD by Herbert A. Hauptman....................249
ACKNOWLEDGMENTS....................253
APPENDIX. List of Triangular, Square, and Cubic Number....................255
BIBLIOGRAPHY....................259
INDEX....................261
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