Robert B. Banks's Books

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

By: Robert B. Banks

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Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

By: Robert B. Banks

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.

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Page Count

302

Publisher

Princeton University Press

Published Date

ISBN 10

1400843030

ISBN 13

9781400843039

Growth and Diffusion Phenomena

Mathematical Frameworks and Applications

By: Robert B. Banks

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Growth and Diffusion Phenomena

Mathematical Frameworks and Applications

By: Robert B. Banks

Diffusion and growth phenomena abound in the real world surrounding us. Someexamples: growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering medicine and public health. The book presents a large number of mathematical models to provide frameworks forthe analysis and display of many of these. The models developed and utilizedcommence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework ormodel based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing,and evaluating studies of growth transfer and diffusion phenomena. The book draws on the author's own hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.

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Page Count

465

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662030527

ISBN 13

9783662030523

Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

By: Robert B. Banks

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Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

By: Robert B. Banks

Paperback ressiue, for the Princeton Puzzler's Series, 2013.

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Page Count

344

Publisher

Princeton University Press

Published Date

ISBN 10

0691158185

ISBN 13

9780691158181

"Phantom of Fear"

The Banking Panic of 1933

By: Robert Lynn Fuller

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"Phantom of Fear"

The Banking Panic of 1933

By: Robert Lynn Fuller

In March 1933, in one of his first acts as president, Franklin Delano Roosevelt declared a bank holiday throughout the United States. Considered by many to be a bold step to curb the mounting bank crisis, the decree closed banks in all 48 states and overseas territories, putting money out of reach of citizens, businesses and all levels of government. This narrative history recounts and explains the economic, financial and political backgrounds of the banking panic, arguing that the holiday was not only unnecessary but actually damaging to the economy. The holiday did, however, provide Roosevelt with the momentum to push through a series of historic reforms that remade the federal government. This revisionist work not only reveals the circumstances around the panic but debunks numerous myths that have clung to it ever since.

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Page Count

289

Publisher

McFarland

Published Date

ISBN 10

0786486856

ISBN 13

9780786486854

Book's by Robert B. Banks

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

Growth and Diffusion Phenomena

Growth and Diffusion Phenomena

Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

"Phantom of Fear"

"Phantom of Fear"

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