Chases and Escapes

Ideal both for self-study and as supplemental readings by students and/or professors in any of the mathematical and physical sciences, this text presents the historical development of the differential equations of pursuit theory.

Chases and Escapes

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 0691155011

Page: 272

View: 784

Ideal both for self-study and as supplemental readings by students and/or professors in any of the mathematical and physical sciences, this text presents the historical development of the differential equations of pursuit theory.

Group Chase and Escape

The main interest of chases and escapes, or pursuit and evasion, is to obtain the
pursuit curve of the chaser(s) and it has a long history [32]. It is said that the
original formulation of the problem dates back to Leonardo da Vinci, who
considered ...

Group Chase and Escape

Author: Atsushi Kamimura

Publisher: Springer Nature

ISBN: 9811517312

Page: 119

View: 128

This book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics.

Police Pursuit

The likelihood of accidents also increased as the number of pursuing vehicles
increased . escape was found to ... car resulted in more escapes than chases
with more than one police car ) , the speed of the chase ( chases conducted at
higher ...

Police Pursuit

Author: Geoffrey P. Alpert

Publisher:

ISBN:

Page: 7

View: 285

Digital Dice

"--Keith Devlin, author of The Math Gene and The Math Instinct "Open this delightful, matchless book to be sucked into a treasure trove of wonderful conundrums of everyday life.

Digital Dice

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9780691126982

Page: 263

View: 641

A collection of twenty-one real-life probability puzzles and shows how to get numerical answers without having to solve complicated mathematical equations.

In Praise of Simple Physics

Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you.

In Praise of Simple Physics

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400880513

Page: 272

View: 317

Fun puzzles that use physics to explore the wonders of everyday life Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science writer Paul Nahin presents a plethora of situations that explore the science and math behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield? Nahin begins with simpler problems and progresses to more challenging questions, and his entertaining, accessible, and scientifically and mathematically informed explanations are all punctuated by his trademark humor. Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you. In Praise of Simple Physics proves that if we look carefully at the world around us, physics has answers for the most astonishing day-to-day occurrences.

Number Crunching

These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching.

Number Crunching

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400839580

Page: 408

View: 389

More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.

The Sloth s Lucky Escape

The beautiful sloth was climbing happily in his jungle, when an animal catcher kidnapped him from his tree.

The Sloth s Lucky Escape

Author: Chase Woodbridge

Publisher:

ISBN:

Page: 30

View: 444

The beautiful sloth was climbing happily in his jungle, when an animal catcher kidnapped him from his tree. Using his smarts, the sloth tried to escape the manic but there were many obstacles. Will the sloth escape the bad man and set himself free?

Hairbreadth Escapes of Major Mendax

After a few erratic steps he abandoned the chase , for his nose , etc. , turned up at
the very idea of food . Then the sickly animal dropt on his haunches , and sent
forth sounds of distress that reminded me unpleasantly of a passenger imploring
 ...

Hairbreadth Escapes of Major Mendax

Author: Francis Blake Crofton

Publisher:

ISBN:

Page: 236

View: 817

Malvern chase

In his wanderings Master Vaughan had fallen in with the Countess of Oxford and
her young son , who were hidden in a small house in Pontefract , and after many
adventures and hairbreadth escapes succeeded in conveying both mother and ...

Malvern chase

Author: William Samuel Symonds

Publisher:

ISBN:

Page:

View: 915

The Three Midshipmen

Their first chase . — She disappears . - Seen again . — The chase becalmed . - -
Attacked by the boats . — Proves to be a pirate . - Amusements on ... The chase
escapes up a river . - A boat expedition . The schooner followed up the river .

The Three Midshipmen

Author: William Henry G. Kingston

Publisher:

ISBN:

Page: 416

View: 916

Lindisfarn Chase

Don't you feel , Fred , that you have had a most narrow , a most providential
escape ? " “ An escape , indeed ! " cried Frederick ; “ It makes my head go round
to think of it . But it is very painful , too , to think of that poor girl ; she will be furious
 ...

Lindisfarn Chase

Author: Thomas Adolphus Trollope

Publisher:

ISBN:

Page:

View: 715

Sackville chase

There is no escape , I suppose ? " “ Oh , I think the officer is far too sharp for that ,
my lord , ” said Mr . Burford , misapprehending the earl ' s meaning . The earl
smiled feebly , and said he meant escape for himself - escape from the infliction
of ...

Sackville chase

Author: Charles James Collins

Publisher:

ISBN:

Page:

View: 275

An Imaginary Tale

This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.

An Imaginary Tale

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9781400830299

Page: 296

View: 319

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.

The Pictorial Book of Anecdotes and Incidents of the War of the Rebellion Civil Military Naval and Domestic from the Time of the Memorable Toast of Andrew Jackson The Federal Union it Must be Preserved to the Assassination of President Lincoln and the End of the War

had better make a gun of Billy Luly , and late in drawing the heavy fires which
give chase in turn . ... a wooden gunboat , the latter received a shot through her
boiler , which caused a large quantity of steam to escape directly into the ship .

The Pictorial Book of Anecdotes and Incidents of the War of the Rebellion  Civil  Military  Naval and Domestic     from the Time of the Memorable Toast of Andrew Jackson   The Federal Union  it Must be Preserved       to the Assassination of President Lincoln  and the End of the War

Author: Richard Miller Devens

Publisher:

ISBN:

Page: 705

View: 545