slicing pizzas racing turtles and further adventures in applied mathematics

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Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics

Author : Robert B. Banks
ISBN : 9781400843039
Genre : Mathematics
File Size : 63. 10 MB
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Have you ever daydreamed about digging a hole to the other side of the world? Robert Banks not only entertains such ideas but, better yet, he supplies the mathematical know-how to turn fantasies into problem-solving adventures. In this sequel to the popular Towing Icebergs, Falling Dominoes (Princeton, 1998), Banks presents another collection of puzzles for readers interested in sharpening their thinking and mathematical skills. The problems range from the wondrous to the eminently practical. In one chapter, the author helps us determine the total number of people who have lived on earth; in another, he shows how an understanding of mathematical curves can help a thrifty lover, armed with construction paper and scissors, keep expenses down on Valentine's Day. In twenty-six chapters, Banks chooses topics that are fairly easy to analyze using relatively simple mathematics. The phenomena he describes are ones that we encounter in our daily lives or can visualize without much trouble. For example, how do you get the most pizza slices with the least number of cuts? To go from point A to point B in a downpour of rain, should you walk slowly, jog moderately, or run as fast as possible to get least wet? What is the length of the seam on a baseball? If all the ice in the world melted, what would happen to Florida, the Mississippi River, and Niagara Falls? Why do snowflakes have six sides? Covering a broad range of fields, from geography and environmental studies to map- and flag-making, Banks uses basic algebra and geometry to solve problems. If famous scientists have also pondered these questions, the author shares the historical details with the reader. Designed to entertain and to stimulate thinking, this book can be read for sheer personal enjoyment.

Towing Icebergs Falling Dominoes And Other Adventures In Applied Mathematics

Author : Robert B. Banks
ISBN : 0691102856
Genre : Mathematics
File Size : 89. 58 MB
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Presents a guide to the basics of mathematical models.

Towing Icebergs Falling Dominoes And Other Adventures In Applied Mathematics

Author : Robert B. Banks
ISBN : 9781400846740
Genre : Mathematics
File Size : 84. 44 MB
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Although we seldom think of it, our lives are played out in a world of numbers. Such common activities as throwing baseballs, skipping rope, growing flowers, playing football, measuring savings accounts, and many others are inherently mathematical. So are more speculative problems that are simply fun to ponder in themselves--such as the best way to score Olympic events. Here Robert Banks presents a wide range of musings, both practical and entertaining, that have intrigued him and others: How tall can one grow? Why do we get stuck in traffic? Which football player would have a better chance of breaking away--a small, speedy wide receiver or a huge, slow linebacker? Can California water shortages be alleviated by towing icebergs from Antarctica? What is the fastest the 100-meter dash will ever be run? The book's twenty-four concise chapters, each centered on a real-world phenomenon, are presented in an informal and engaging manner. Banks shows how math and simple reasoning together may produce elegant models that explain everything from the federal debt to the proper technique for ski-jumping. This book, which requires of its readers only a basic understanding of high school or college math, is for anyone fascinated by the workings of mathematics in our everyday lives, as well as its applications to what may be imagined. All will be rewarded with a myriad of interesting problems and the know-how to solve them. Some images inside the book are unavailable due to digital copyright restrictions.

Probability In Social Science

Author : Samuel Goldberg
ISBN : 3764330899
Genre : Probabilities
File Size : 77. 82 MB
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Birkhauser Boston, Inc., will publish a series of carefully selected mono graphs in the area of mathematical modeling to present serious applications of mathematics for both the undergraduate and the professional audience. Some of the monographs to be selected and published will appeal more to the professional mathematician and user of mathematics, serving to familiarize the user with new models and new methods. Some, like the present monograph, will stress the educational aspect and will appeal more to a student audience, either as a textbook or as additional reading. We feel that this first volume in the series may in itself serve as a model for our program. Samuel Goldberg attaches a high priority to teaching stu dents the art of modeling, that is, to use his words, the art of constructing useful mathematical models of real-world phenomena. We concur. It is our strong conviction as editors that the connection between the actual problems and their mathematical models must be factually plausible, if not actually real. As this first volume in the new series goes to press, we invite its readers to share with us both their criticisms and their constructive suggestions."

Physics Can Be Fun

Author : Ya Perelman
ISBN : 0828534594
Genre : Juvenile Nonfiction
File Size : 52. 25 MB
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Presents problems and simple experiments illustrating the laws of physics with regard to motion, gravity, heat and cold, and light

Excursions In Number Theory

Author : Charles Stanley Ogilvy
ISBN : 0486257789
Genre : Mathematics
File Size : 49. 12 MB
Format : PDF
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Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

Mathematical Bafflers

Author : Angela Dunn
ISBN : 0486239616
Genre : Games
File Size : 23. 14 MB
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Over 155 truly challenging conundrums for the expert puzzlist. Algebraic amusements, geometric exercises, diophantine diversions, problems in logic and deduction, probability posers, insight puzzles, and assorted number theory problems. Advanced mathematical skills are only sporadically required, the majority of problems are accessible to just about anyone. 130 woodcut illustrations by Ed Kysar.

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