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

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691158185
Total Pages : 344 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics by : Robert B. Banks

Download or read book Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics written by Robert B. Banks and published by Princeton University Press. This book was released on 2013-02-24 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paperback ressiue, for the Princeton Puzzler's Series, 2013.

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

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400846749
Total Pages : 344 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics by : Robert B. Banks

Download or read book Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics written by Robert B. Banks and published by Princeton University Press. This book was released on 2013-04-08 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Towing Icebergs,Falling Dominoes

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Author :
Publisher : Universities Press
ISBN 13 : 9788173713590
Total Pages : 350 pages
Book Rating : 4.7/5 (135 download)

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Book Synopsis Towing Icebergs,Falling Dominoes by : Robert B Banks

Download or read book Towing Icebergs,Falling Dominoes written by Robert B Banks and published by Universities Press. This book was released on 2001 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Publisher : Princeton Univ Department of Art &
ISBN 13 : 9780691059488
Total Pages : 328 pages
Book Rating : 4.0/5 (594 download)

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Book Synopsis Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics by : Robert Banks

Download or read book Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics written by Robert Banks and published by Princeton Univ Department of Art &. This book was released on 1998 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400843030
Total Pages : 302 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics by : Robert B. Banks

Download or read book Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics written by Robert B. Banks and published by Princeton University Press. This book was released on 2012-05-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Ultimate Book of Saturday Science

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400841739
Total Pages : 561 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Ultimate Book of Saturday Science by : Neil A. Downie

Download or read book The Ultimate Book of Saturday Science written by Neil A. Downie and published by Princeton University Press. This book was released on 2012-05-13 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The best backyard experiments for hands-on science learning The Ultimate Book of Saturday Science is Neil Downie's biggest and most astounding compendium yet of science experiments you can do in your own kitchen or backyard using common household items. It may be the only book that encourages hands-on science learning through the use of high-velocity, air-driven carrots. Downie, the undisputed maestro of Saturday science, here reveals important principles in physics, engineering, and chemistry through such marvels as the Helevator—a contraption that's half helicopter, half elevator—and the Rocket Railroad, which pumps propellant up from its own track. The Riddle of the Sands demonstrates why some granular materials form steep cones when poured while others collapse in an avalanche. The Sunbeam Exploder creates a combustible delivery system out of sunlight, while the Red Hot Memory experiment shows you how to store data as heat. Want to learn to tell time using a knife and some butter? There's a whole section devoted to exotic clocks and oscillators that teaches you how. The Ultimate Book of Saturday Science features more than seventy fun and astonishing experiments that range in difficulty from simple to more challenging. All of them are original, and all are guaranteed to work. Downie provides instructions for each one and explains the underlying science, and also presents experimental variations that readers will want to try.

Geometry

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Publisher : Macmillan
ISBN 13 : 9780716743613
Total Pages : 802 pages
Book Rating : 4.7/5 (436 download)

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Book Synopsis Geometry by : Harold R. Jacobs

Download or read book Geometry written by Harold R. Jacobs and published by Macmillan. This book was released on 2003-03-14 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Mathletics: A Scientist Explains 100 Amazing Things About the World of Sports

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Author :
Publisher : W. W. Norton & Company
ISBN 13 : 0393063410
Total Pages : 321 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Mathletics: A Scientist Explains 100 Amazing Things About the World of Sports by : John D. Barrow

Download or read book Mathletics: A Scientist Explains 100 Amazing Things About the World of Sports written by John D. Barrow and published by W. W. Norton & Company. This book was released on 2012-06-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: A math professor shows how math and physics can offer unexpected insights into the world of sports, from the g-forces experienced by gymnasts during the "giant swing" maneuver to an explanation as to why left-handed boxers have a strategic advantage.

The Physics of Rugby

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Author :
Publisher : 5m Books Ltd
ISBN 13 : 1907284214
Total Pages : 232 pages
Book Rating : 4.9/5 (72 download)

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Book Synopsis The Physics of Rugby by : T. Lipscombe

Download or read book The Physics of Rugby written by T. Lipscombe and published by 5m Books Ltd. This book was released on 2009-09-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blending simple physics with anecdotes from the world of rugby, this informative reference demonstrates how to improve rugby techniques. Tackling, passing, running, and kicking are analyzed from a scientific perspective, incorporating Newton's Laws, and then discussed in the wider context of the game. This valuable guide will not only instruct but also entertain sports-oriented students of all levels.

A Guide to MATLAB

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107662222
Total Pages : 335 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis A Guide to MATLAB by : Brian R. Hunt

Download or read book A Guide to MATLAB written by Brian R. Hunt and published by Cambridge University Press. This book was released on 2014-08-21 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: "MATLAB is a high-level language and interactive environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages"--

A Modern Introduction to Differential Equations

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Publisher : Academic Press
ISBN 13 : 0080886035
Total Pages : 535 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis A Modern Introduction to Differential Equations by : Henry J. Ricardo

Download or read book A Modern Introduction to Differential Equations written by Henry J. Ricardo and published by Academic Press. This book was released on 2009-02-24 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. Student friendly readability- assessible to the average student Early introduction of qualitative and numerical methods Large number of exercises taken from biology, chemistry, economics, physics and engineering Exercises are labeled depending on difficulty/sophistication End of chapter summaries Group projects

Ants, Bikes, and Clocks

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Publisher : SIAM
ISBN 13 : 9780898717914
Total Pages : 174 pages
Book Rating : 4.7/5 (179 download)

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Book Synopsis Ants, Bikes, and Clocks by : William Briggs

Download or read book Ants, Bikes, and Clocks written by William Briggs and published by SIAM. This book was released on 2005-01-01 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators agree that problem solving is one of the essential skills their students should possess, yet few mathematics courses or textbooks are devoted entirely to developing this skill. Supported by narrative, examples, and exercises, Ants, Bikes, and Clocks: Problem Solving for Undergraduates is a readable and enjoyable text designed to strengthen the problem-solving skills of undergraduate students. The book, which provides hundreds of mathematical problems, gives special emphasis to problems in context, often called story problems or modeling problems, that require mathematical formulation as a preliminary step. Both analytical and computational approaches, as well as the interplay between them, are included.

Applications of Differential Equations in Engineering and Mechanics

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Publisher : CRC Press
ISBN 13 : 042989435X
Total Pages : 805 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Applications of Differential Equations in Engineering and Mechanics by : Kam Tim Chau

Download or read book Applications of Differential Equations in Engineering and Mechanics written by Kam Tim Chau and published by CRC Press. This book was released on 2019-01-08 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.

Digital Dice

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Publisher : Princeton University Press
ISBN 13 : 1400846110
Total Pages : 288 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Digital Dice by : Paul Nahin

Download or read book Digital Dice written by Paul Nahin and published by Princeton University Press. This book was released on 2013-03-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations. Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women. The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem. Digital Dice will appeal to anyone who enjoys popular math or computer science. In a new preface, Nahin wittily addresses some of the responses he received to the first edition.

Vacuum Bazookas, Electric Rainbow Jelly, and 27 Other Saturday Science Projects

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691188572
Total Pages : pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Vacuum Bazookas, Electric Rainbow Jelly, and 27 Other Saturday Science Projects by : Neil A. Downie

Download or read book Vacuum Bazookas, Electric Rainbow Jelly, and 27 Other Saturday Science Projects written by Neil A. Downie and published by Princeton University Press. This book was released on 2018-06-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you crack nuts with a piece of string? Reverse gravity? Cobble together a clock out of a coffee cup, a soda bottle, and some water? Use a vacuum cleaner and nineteenth-century railroad technology to fashion a makeshift bazooka that can launch paper projectiles? Create a rainbow in a block of Jello? This is a one-volume romp through a whole array of counterintuitive science experiments that require little more than common household items and a sense of curiosity. Prepare to have your surprise sensors on overload as Neil Downie stretches math, physics, and chemistry to do what they have never done before. This book describes twenty-nine unusual but practical experiments, detailing how they are done and the math and physics behind them. It will delight both casual and inveterate tinkerers. Of varying levels of complexity, the experiments are grouped in sections covering a wide field of physics and the borders of chemistry, ranging from dynamic mechanics (''Kinetic Curiosities'') to electricity (''Antediluvian Electronics'') and combustion (''Infernal Inventions''). The chapters are titillatingly titled, from ''Twisted Sinews'' and ''Mole Radio'' to ''A Symphony of Siphons'' and ''Tornado Transistor.'' More-detailed explanations, along with simple mathematical models using high-school level math, are given in boxes accompanying each experiment. Armchair scientists will welcome this edifying and entertaining alternative to idleness, not least for the buoyant prose, enriched by historical and literary anecdotes introducing each topic. With this book in hand, tinkerers, whether dabblers in science or devotees, students or teachers, need never again wonder how to impress friends, the judges at the science fair, and, not least, themselves.

X and the City

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Publisher : Princeton University Press
ISBN 13 : 0691162328
Total Pages : 339 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis X and the City by : John A. Adam

Download or read book X and the City written by John A. Adam and published by Princeton University Press. This book was released on 2013-12 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematical modeling uncovers about life in the city X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through tunnels? Can you predict whether a traffic light will stay green long enough for you to cross the intersection? And what is the likelihood that your city will be hit by an asteroid? Every math problem and equation in this book tells a story and examples are explained throughout in an informal and witty style. The level of mathematics ranges from precalculus through calculus to some differential equations, and any reader with knowledge of elementary calculus will be able to follow the materials with ease. There are also some more challenging problems sprinkled in for the more advanced reader. Filled with interesting and unusual observations about how cities work, X and the City shows how mathematics undergirds and plays an important part in the metropolitan landscape.

Applied Delay Differential Equations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387743723
Total Pages : 204 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Applied Delay Differential Equations by : Thomas Erneux

Download or read book Applied Delay Differential Equations written by Thomas Erneux and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.