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› Find signed collectible books: 'Chases and Escapes: The Mathematics of Pursuit and Evasion (New in Paper) (Princeton Puzzlers)'
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› Find signed collectible books: 'Digital Dice: Computational Solutions to Practical Probability Problems (New in Paperback) (Princeton Puzzlers)'
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› Find signed collectible books: 'Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills (New in Paper)'
I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals 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 the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory.
This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems.
The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, "Euler's formula will still be beautiful and stunning and untarnished by time."
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› Find signed collectible books: 'Duelling Idiots and Other Probability Puzzlers'
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› Find signed collectible books: 'Duelling Idiots and Other Probability Puzzlers (Princeton Puzzlers)'
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› Find signed collectible books: 'An Imaginary Tale: The Story of "i" [the square root of minus one]'
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.
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› Find signed collectible books: 'The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age'
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› Find signed collectible books: 'Mrs. Perkins's Electric Quilt: And Other Intriguing Stories of Mathematical Physics'
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› Find signed collectible books: 'Number-Crunching: Taming Unruly Computational Problems from Mathematical Physics to Science Fiction'
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› Find signed collectible books: 'Oliver Heaviside: Sage in Solitude : The Life, Work, and Times of an Electrical Genius of the Victorian Age'
Biography of Oliver Heaviside, who was a self-taught English electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, and invented mathematical techniques to the solution of differential equations.
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› Find signed collectible books: 'Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age'
"He was a man who often was incapable of conducting himself properly in the most elementary social interactions. His only continuing contacts with women were limited to his mother, nieces, and housekeepers. He was a man who knew the power of money and desired it, but refused to work for it, preferring to live off the sweat of his family and long-suffering friends, whom he often insulted even as they paid his bills."from the book
This, then, was Oliver Heaviside, a pioneer of modern electrical theory. Born into a low social class of Victorian England, Heaviside 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 engineering, through his duplex equations. Now available in paperback with a new preface by the author, this acclaimed biography will appeal to historians of technology and science, as well as to scientists and engineers who wish to learn more about this remarkable man.
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› Find signed collectible books: 'The Science of Radio'
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› Find signed collectible books: 'Time Machines: Time Travel in Physics, Metaphysics, and Science Fiction'
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 intended for general science readers.
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› Find signed collectible books: 'Time Travel: A Writer's Guide to the Real Science of Plausible Time Travel (Science Fiction Writing Series)'
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› Find signed collectible books: 'When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible'
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 extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible--and how mathematicians over the centuries have struggled to calculate these problems of minima and maxima. From medieval writings to the development of modern calculus to the current field of optimization, Nahin tells the story of Dido's problem, Fermat and Descartes, Torricelli, Bishop Berkeley, Goldschmidt, and more. Along the way, he explores how to build the shortest bridge possible between two towns, how to shop for garbage bags, how to vary speed during a race, and how to make the perfect basketball shot.
Written in a conversational tone and requiring only an early undergraduate level of mathematical knowledge, When Least Is Best is full of fascinating examples and ready-to-try-at-home experiments. This is the first book on optimization written for a wide audience, and math enthusiasts of all backgrounds will delight in its lively topics.
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› Find signed collectible books: 'Will You Be Alive Ten Years from Now?: And Numerous Other Curious Questions in Probability'
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› Find signed collectible books: 'The Science of Radio: With MATLAB and Electronics Workbench Demonstrations, 2nd Edition'
The Science of Radio From the reviews: "! The notes and problems at the end of each chapter are very helpful. [!] In the final analysis, the book is definitely worth owning. [!] It is an extremely well written -- but unusual -- book that I highly recommend for all physicists." The Physics Teacher Full description
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› Find signed collectible books: 'Time Machines: Time Travel in Physics, Metaphysics, and Science Fiction'
This book explores the idea of time travel from the first account in English literature to the latest theories of physicists such as Kip Thorne and Igor Novikov. This very readable work covers a variety of topics including: the history of time travel in fiction; the fundamental scientific concepts of time, spacetime, and the fourth dimension; the speculations of Einstein, Richard Feynman, Kurt Goedel, and others; time travel paradoxes, and much more.
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