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An Imaginary Tale: The Story of the Square Root of Minus One
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Paul J Nahin
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, ...
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Dr Euler's Fabulous Formula: Cures Many Mathematical Ills
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Paul J Nahin
'I used to think math was no fun 'cause I couldn't see how it was done. Now Euler's my hero. For, I now see why zero equals e[pi] i+1' - Paul Nahin, electrical engineer. In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even ...
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An Imaginary Tale: The Story of "I" [The Square Root of Minus One]
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Paul J Nahin
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, ...
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Time Machines
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Paul J Nahin
From reviews of the first edition: "Here's a gem of a book...all peppered with delightful notes from science fiction films, novels, and comics. I can't turn a page without finding a jewel." Clifford Stoll, University of California, Berkeley (author of "The Cuckoo's Egg")From the Foreword by Kip Thorne (author of "Black Holes and Time Warps"):"In ...
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Time Machines: Time Travel in Physics, Metaphysics and Science Fiction
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Paul J Nahin
A lively study of how time travel has been portrayed in fiction from the 18th century to the present. The author also discusses how modern physicists are now giving serious attention to what was once dismissed as sheer fantasy. Technical appendices, using only first college calculus, are supplied for those with a mathematical bent. This book is ...
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When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible
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Paul J Nahin
What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extreme with ...
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Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age
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Paul J Nahin
Oliver Heaviside, a pioneer of modern electrical theory, was born into a low social class of Victorian England and died in poverty as a recluse. In between, he made advances in mathematics - by introducing the operational calculus; in physics - where he formulated the modern-day expressions of Maxwell's Laws of electromagnetism; and in electrical ...
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Duelling Idiots and Other Probability Puzzlers
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Paul J. Nahin
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 212 puzzles, the author challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array ...
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The Science of Radio: With MATLAB and Electronics Workbench Demonstrations
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Paul J Nahin
"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 ...
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Digital Dice: Computational Solutions to Practical Probability Problems
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Paul J Nahin
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 ...
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Time Travel
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Paul J Nahin
Writers who want to send their characters across the gulf of time will discover how the real science of time travel can make their story more plausible.
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Oliver Heaviside, Sage in Solitude: The Life, Work, and Times of an Electrical Genius of the Victorian Age
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Paul J Nahin
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The Science of Radio
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Paul J Nahin
"Instead of being an abstraction, the math in this book comes alive as the tool that EEs have always thought it to be...It has a place in the libraries of experienced EEs: It does a good job not only of teaching the underlying theory of radio, but also of entertaining readers." EDN Explore the fascinating world of AM radio with this unique book ...
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Mrs. Perkins's Electric Quilt: And Other Intriguing Stories of Mathematical Physics
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Paul J Nahin
What does quilting have to do with electric circuit theory? The answer is just one of the fascinating ways that best-selling popular math writer Paul Nahin illustrates the deep interplay of math and physics in the world around us in his latest book of challenging mathematical puzzles, "Mrs. Perkins's Electric Quilt". With his trademark combination ...
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Chases and Escapes: The Mathematics of Pursuit and Evasion
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Paul J Nahin
We all played tag when we were kids. The rules couldn't be easier - one player is designated "it" and must try to tag out one of the others. 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 at play in military ...
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