slicing pizzas racing turtles and further adventures in applied mathematics princeton puzzlers

Download Book Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics Princeton Puzzlers in PDF format. You can Read Online Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics Princeton Puzzlers here in PDF, EPUB, Mobi or Docx formats.

Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics

Author : Robert B. Banks
ISBN : 9781400843039
Genre : Mathematics
File Size : 89. 80 MB
Format : PDF
Download : 998
Read : 817

Download Now


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 : 9781400846740
Genre : Mathematics
File Size : 44. 76 MB
Format : PDF, ePub, Docs
Download : 503
Read : 854

Download Now


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.

Ants Bikes And Clocks

Author : William Briggs
ISBN : 9780898715743
Genre : Mathematics
File Size : 68. 29 MB
Format : PDF, ePub, Mobi
Download : 986
Read : 788

Download Now


This book is a readable and enjoyable text designed to strengthen the problem-solving skills of undergraduate students.

Digital Dice

Author : Paul J. Nahin
ISBN : 9780691158211
Genre : Computers
File Size : 59. 59 MB
Format : PDF, ePub, Mobi
Download : 494
Read : 1304

Download Now


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.

Chases And Escapes

Author : Paul J. Nahin
ISBN : 9781400842063
Genre : Mathematics
File Size : 29. 41 MB
Format : PDF, ePub
Download : 972
Read : 1016

Download Now


We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.

Duelling Idiots And Other Probability Puzzlers

Author : Paul J. Nahin
ISBN : 9781400843046
Genre : Mathematics
File Size : 83. 76 MB
Format : PDF, ePub, Docs
Download : 288
Read : 937

Download Now


What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the workings of probability. Over the years, Nahin, a veteran writer and teacher of the subject, has collected these and other favorite puzzles designed to instruct and entertain math enthusiasts of all backgrounds. If idiots A and B alternately take aim at each other with a six-shot revolver containing one bullet, what is the probability idiot A will win? What are the chances it will snow on your birthday in any given year? How can researchers use coin flipping and the laws of probability to obtain honest answers to embarrassing survey questions? The solutions are presented here in detail, and many contain a profound element of surprise. And some puzzles are beautiful illustrations of basic mathematical concepts: "The Blind Spider and the Fly," for example, is a clever variation of a "random walk" problem, and "Duelling Idiots" and "The Underdog and the World Series" are straightforward introductions to binomial distributions. Written in an informal way and containing a plethora of interesting historical material, Duelling Idiots is ideal for those who are fascinated by mathematics and the role it plays in everyday life and in our imaginations.

Mathhorizons

Author :
ISBN : UOM:39076002534753
Genre : Mathematics
File Size : 52. 57 MB
Format : PDF, ePub, Docs
Download : 772
Read : 1199

Download Now



Underground

Author : Suelette Dreyfus
ISBN : 9780857862600
Genre : Computers
File Size : 68. 34 MB
Format : PDF
Download : 581
Read : 798

Download Now


Suelette Dreyfus and her co-author, WikiLeaks founder Julian Assange, tell the extraordinary true story of the computer underground, and the bizarre lives and crimes of an elite ring of international hackers who took on the establishment. Spanning three continents and a decade of high level infiltration, they created chaos amongst some of the world’s biggest and most powerful organisations, including NASA and the US military. Brilliant and obsessed, many of them found themselves addicted to hacking and phreaking. Some descended into drugs and madness, others ended up in jail. As riveting as the finest detective novel and meticulously researched, Underground follows the hackers through their crimes, their betrayals, the hunt, raids and investigations. It is a gripping tale of the digital underground.

Fascinating Mathematical People

Author : Donald J. Albers
ISBN : 1400839556
Genre : Mathematics
File Size : 74. 92 MB
Format : PDF
Download : 279
Read : 721

Download Now


Fascinating Mathematical People is a collection of informal interviews and memoirs of sixteen prominent members of the mathematical community of the twentieth century, many still active. The candid portraits collected here demonstrate that while these men and women vary widely in terms of their backgrounds, life stories, and worldviews, they all share a deep and abiding sense of wonder about mathematics. Featured here--in their own words--are major research mathematicians whose cutting-edge discoveries have advanced the frontiers of the field, such as Lars Ahlfors, Mary Cartwright, Dusa McDuff, and Atle Selberg. Others are leading mathematicians who have also been highly influential as teachers and mentors, like Tom Apostol and Jean Taylor. Fern Hunt describes what it was like to be among the first black women to earn a PhD in mathematics. Harold Bacon made trips to Alcatraz to help a prisoner learn calculus. Thomas Banchoff, who first became interested in the fourth dimension while reading a Captain Marvel comic, relates his fascinating friendship with Salvador Dalí and their shared passion for art, mathematics, and the profound connection between the two. Other mathematical people found here are Leon Bankoff, who was also a Beverly Hills dentist; Arthur Benjamin, a part-time professional magician; and Joseph Gallian, a legendary mentor of future mathematicians, but also a world-renowned expert on the Beatles. This beautifully illustrated collection includes many photographs never before published, concise introductions by the editors to each person, and a foreword by Philip J. Davis. Some images inside the book are unavailable due to digital copyright restrictions.

Breakdown Of Will

Author : George Ainslie
ISBN : 0521596947
Genre : Business & Economics
File Size : 59. 41 MB
Format : PDF, ePub
Download : 980
Read : 324

Download Now


Argues that our responses to the threat of our own inconsistency determine the fabric of human culture.

Top Download:

Best Books