The Logician And The Engineer

ISBN: 0691151008
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 48.65 MB
Format: PDF, Mobi
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Examines how mathematician and philosopher George Boole and electrical engineer Claude Shannon became the fathers of the information age by advancing Boolean logic, and looks at the influence of other factors, including the Turing machine.

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The Logician And The Engineer

ISBN: 1400844657
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 55.62 MB
Format: PDF, ePub, Mobi
View: 2025


Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use—from our computers and cars, to home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer, Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different eras—mathematician and philosopher George Boole and electrical engineer and pioneering information theorist Claude Shannon—advanced Boolean logic and became founding fathers of the electronic communications age. Nahin takes readers from fundamental concepts to a deeper and more sophisticated understanding of modern digital machines, in order to explore computing and its possible limitations in the twenty-first century and beyond.

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An Imaginary Tale

ISBN: 9781400833894
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 75.10 MB
Format: PDF, Kindle
View: 7624


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. Some images inside the book are unavailable due to digital copyright restrictions.

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Dr Euler S Fabulous Formula

ISBN: 9780691118222
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 37.39 MB
Format: PDF, Kindle
View: 3774


Accessible to any reader with the equivalent of the first two years of college mathematics, this is the story behind one of the world's most influential mathematical equations. 2 halftones. 77 line illustrations.

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Oliver Heaviside

ISBN: 9780801869099
Author: Paul J. Nahin
Publisher: JHU Press
Size: 48.19 MB
Format: PDF
View: 1804


"A good book by a careful, historically minded engineer... A lively, informative narrative of Heaviside's life and work. Nahin has exhaustively resurveyed archives and contemporary sources and is very much at home in historical discussions of Victorian physics." -- Isis

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Chases And Escapes

ISBN: 9780691125145
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 75.39 MB
Format: PDF, Mobi
View: 7242


Traces the development of modern pursuit theory, from its classical analytical beginnings to the present day, and provides challenging puzzles with solutions, anecdotes, and entertaining facts, in a first comprehensive history of a fascinating area of mathematics.

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In Praise Of Simple Physics

ISBN: 1400880513
Author: Paul J. Nahin
Publisher: Princeton University Press
Size: 64.90 MB
Format: PDF, ePub, Docs
View: 5171


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.

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Turing S Cathedral

ISBN: 0307907066
Author: George Dyson
Publisher: Pantheon
Size: 55.66 MB
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“It is possible to invent a single machine which can be used to compute any computable sequence,” twenty-four-year-old Alan Turing announced in 1936. In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time. How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

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The Science Of Radio

ISBN: 9780387951508
Author: Paul J. Nahin
Publisher: Springer Science & Business Media
Size: 23.18 MB
Format: PDF, Docs
View: 3750


The Science of Radio explains the working and charts the development of the ordinary AM radio receiver, which has become an integral part of our lives in the 80 years since its invention. As well as showing the reader the growth of technology in this century, the story of AM radio can provide a unique insight into the basics of electrical engineering, making the primary concepts and applications visual and comprehensible. Taking a "top down" approach to the subject, Nahin starts with a broad overview of radio as a sociological and technological phenomenon, then describes specific advances in research that made radio possible, moving through deeper levels of technical detail as the story progresses. Readers will see how various concepts and theories are combined to achieve specific practical results. And the book's "just in time" method of introducing mathematical and physical theory only as needed to understand a topic, helps readers gain a firm grasp of often elusive material. By focusing specifically on the workings of AM radio, The Science of Radio offers both a fascinating history of radio as an information and entertainment medium and a practical, applications-oriented introduction to electrical engineering. This second edition, written the same witty and accessible style as the first, also includes illustrative examples based on the popular MATLAB and Electronics Workbench programs now commonly used in engineering courses, as well as new technical material on differential amplifiers, more end-of-chapters problems, and additional historical discussion. About the author Paul J. Nahin is Professor of Electrical Engineering at the University of New Hampshire, and is the author of Oliver Heaviside: Sage In Solitude (IEEE Press); Time Machines: Time Travel In Physics, Metaphysics And Science Fiction, (AIP Press); and An Imaginary Tale; The Story Of The Square Root Of Minus One, (Princeton University Press).

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Czechoslovakia

ISBN: 9780300179156
Author:
Publisher: Yale University Press
Size: 74.90 MB
Format: PDF
View: 891


Czechoslovakia, the state which preceded today's Czech and Slovak republics, lasted for just seventy-four years, the span of an average person's lifetime. In these years, it experienced democracy, Fascist dictatorship, Nazi occupation, Communist rule, Soviet invasion and, finally, democracy again. In this groundbreaking history, based on archive sources, Mary Heimann brings alive Czechoslovakia's troubled existence, from the international machinations that led to its founding at the end of the First World War to its peaceful partition in 1993. Controversially, she argues against the simplistic Western view of Czechoslovakia as a plucky little country unfortunate in its neighbors which was sacrificed first to Hitler and then to Stalin. Instead she tells an unexpected and much more interesting story: of a state which was not just the victim but also a perpetrator of intolerant nationalism. Most notably, she argues that the Czech and Slovak authorities share responsibility with the Great Powers not only for the Munich Crisis, but also for wartime persecution of Jews and Gypsies, the brutality of the post-war German and Hungarian expulsions, the failure of the Prague Spring, and the grim reality of Czechoslovak Communism.

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