The Mathematical Radio

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 377 pages
File Size : 49,6 Mb
Release : 2024-01-16
Category : Technology & Engineering
ISBN : 9780691235325

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The Mathematical Radio by Paul J. Nahin Pdf

How a modern radio works, told through mathematics, history, and selected puzzles The modern radio is a wonder, and behind that magic is mathematics. In The Mathematical Radio, Paul Nahin explains how radios work, deploying mathematics and historical discussion, accompanied by a steady stream of intriguing puzzles for math buffs to ponder. Beginning with oscillators and circuits, then moving on to AM, FM, and single-sideband radio, Nahin focuses on the elegant mathematics underlying radio technology rather than the engineering. He explores and explains more than a century of key developments, placing them in historical and technological context. Nahin, a prolific author of books on math for the general reader, describes in fascinating detail the mathematical underpinnings of a technology we use daily. He explains and solves, for example, Maxwell’s equations for the electromagnetic field. Readers need only a familarity with advanced high school–level math to follow Nahin’s mathematical discussions. Writing with the nonengineer in mind, Nahin examines topics including impulses in time and frequency, spectrum shifting at the transmitter, the superheterodyne, the physics of single-sideband radio, and FM sidebands. Chapters end with “challenge problems” and an appendix offers solutions, partial answers, and hints. Readers will come away with a new appreciation for the beauty of even the most useful mathematics.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 376 pages
File Size : 42,9 Mb
Release : 2024-01-16
Category : Mathematics
ISBN : 9780691235318

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The Mathematical Radio by Paul J. Nahin Pdf

How a modern radio works, told through mathematics, history, and selected puzzles The modern radio is a wonder, and behind that magic is mathematics. In The Mathematical Radio, Paul Nahin explains how radios work, deploying mathematics and historical discussion, accompanied by a steady stream of intriguing puzzles for math buffs to ponder. Beginning with oscillators and circuits, then moving on to AM, FM, and single-sideband radio, Nahin focuses on the elegant mathematics underlying radio technology rather than the engineering. He explores and explains more than a century of key developments, placing them in historical and technological context. Nahin, a prolific author of books on math for the general reader, describes in fascinating detail the mathematical underpinnings of a technology we use daily. He explains and solves, for example, Maxwell’s equations for the electromagnetic field. Readers need only a familarity with advanced high school–level math to follow Nahin’s mathematical discussions. Writing with the nonengineer in mind, Nahin examines topics including impulses in time and frequency, spectrum shifting at the transmitter, the superheterodyne, the physics of single-sideband radio, and FM sidebands. Chapters end with “challenge problems” and an appendix offers solutions, partial answers, and hints. Readers will come away with a new appreciation for the beauty of even the most useful mathematics.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 406 pages
File Size : 49,8 Mb
Release : 2011-08-08
Category : Mathematics
ISBN : 9781400839582

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Number-Crunching by Paul J. Nahin Pdf

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.

Author : Paul J. Nahin
Publisher : American Institute of Physics
Page : 370 pages
File Size : 41,8 Mb
Release : 1995-11-22
Category : Science
ISBN : UOM:39015043818833

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The Science of Radio by Paul J. Nahin Pdf

"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 and master key concepts in electrical engineering and physics. Unlike most texts that begin with a deluge of scientific detail, The Science of Radio takes a "top down" approach. It starts from a global perspective and gradually introduces theory and formula. Dr. Nahin also employs a "just in time" strategy, introducing new mathematical and physical theories only as they are needed to understand a topic. Paul Nahin's engaging style is accessible to any student who's completed a first- year calculus and physics course. About the Author Paul J. Nahin is Professor of Electrical Engineering at the University of New Hampshire. Along with dozens of nationally published science fiction stories, he is the author of the AIP Press bestseller Time Machines.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 406 pages
File Size : 40,7 Mb
Release : 2021-05-18
Category : Mathematics
ISBN : 9780691218762

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When Least Is Best by Paul J. Nahin Pdf

A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.

Author : American Radio Relay League
Publisher : American Radio Relay League (ARRL)
Page : 842 pages
File Size : 51,8 Mb
Release : 1997
Category : Antennas (Electronics)
ISBN : 0872596133

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The ARRL Antenna Book by American Radio Relay League Pdf

Author : Claude E Shannon,Warren Weaver
Publisher : University of Illinois Press
Page : 144 pages
File Size : 54,5 Mb
Release : 1998-09-01
Category : Language Arts & Disciplines
ISBN : 9780252098031

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The Mathematical Theory of Communication by Claude E Shannon,Warren Weaver Pdf

Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Author : Sean Connolly
Publisher : Workman Publishing Company
Page : 240 pages
File Size : 52,7 Mb
Release : 2017-03-28
Category : Juvenile Nonfiction
ISBN : 9781523502370

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The Book of Perfectly Perilous Math by Sean Connolly Pdf

Math rocks! At least it does in the gifted hands of Sean Connolly, who blends middle school math with fantasy to create an exciting adventure in problem-solving. These word problems are perilous, do-or-die scenarios of blood-sucking vampires (How many months would it take a single vampire to completely take over a town of 500,000 people?), or a rowboat of 5 shipwrecked sailors with a single barrel of freshwater (How much can they drink, and for how long, before they go mad from thirst???). Each problem requires readers to dig deep into the tools they’re learning in school to figure out how to survive. Kids will love solving these problems. Sean Connolly knows how to make tough subjects exciting and he brings that same intuitive understanding of what inspires and challenges kids’ curiosity to the 24 problems in The Book of Perfectly Perilous Math. These problems are as fun to read as they are challenging to solve. They test readers on fractions, algebra, geometry, probability, expressions and equations, and more. Use geometry to fill in for the ship’s navigator and make it safely to the New World. Escape an evil Duke’s executioner by picking the right door—probability will save your neck.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 272 pages
File Size : 44,5 Mb
Release : 2012-07-22
Category : Mathematics
ISBN : 9781400842063

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Chases and Escapes by Paul J. Nahin Pdf

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.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 318 pages
File Size : 48,6 Mb
Release : 2021-11-23
Category : Crafts & Hobbies
ISBN : 9780691229171

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How to Fall Slower Than Gravity by Paul J. Nahin Pdf

An engaging collection of intriguing problems that shows you how to think like a mathematical physicist Paul Nahin is a master at explaining odd phenomena through straightforward mathematics. In this collection of twenty-six intriguing problems, he explores how mathematical physicists think. Always entertaining, the problems range from ancient catapult conundrums to the puzzling physics of a very peculiar material called NASTYGLASS—and from dodging trucks to why raindrops fall slower than the rate of gravity. The questions raised may seem impossible to answer at first and may require an unexpected twist in reasoning, but sometimes their solutions are surprisingly simple. Nahin’s goal, however, is always to guide readers—who will need only to have studied advanced high school math and physics—in expanding their mathematical thinking to make sense of the curiosities of the physical world. The problems are in the first part of the book and the solutions are in the second, so that readers may challenge themselves to solve the questions on their own before looking at the explanations. The problems show how mathematics—including algebra, trigonometry, geometry, and calculus—can be united with physical laws to solve both real and theoretical problems. Historical anecdotes woven throughout the book bring alive the circumstances and people involved in some amazing discoveries and achievements. More than a puzzle book, this work will immerse you in the delights of scientific history while honing your math skills.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 424 pages
File Size : 49,6 Mb
Release : 2009-08-17
Category : Mathematics
ISBN : 9781400833467

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Mrs. Perkins's Electric Quilt by Paul J. Nahin Pdf

An incomparable collection of stimulating math puzzles from bestselling author Paul 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 of intriguing mathematical problems and the historical anecdotes surrounding them, Nahin invites readers on an exciting and informative exploration of some of the many ways math and physics combine to create something vastly more powerful, useful, and interesting than either is by itself. In a series of brief and largely self-contained chapters, Nahin discusses a wide range of topics in which math and physics are mutually dependent and mutually illuminating, from Newtonian gravity and Newton's laws of mechanics to ballistics, air drag, and electricity. The mathematical subjects range from algebra, trigonometry, geometry, and calculus to differential equations, Fourier series, and theoretical and Monte Carlo probability. Each chapter includes problems—some three dozen in all—that challenge readers to try their hand at applying what they have learned. Just as in his other books of mathematical puzzles, Nahin discusses the historical background of each problem, gives many examples, includes MATLAB codes, and provides complete and detailed solutions at the end. Mrs. Perkins's Electric Quilt will appeal to students interested in new math and physics applications, teachers looking for unusual examples to use in class—and anyone who enjoys popular math books.

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 342 pages
File Size : 43,7 Mb
Release : 2021-10-19
Category : Mathematics
ISBN : 9780691206073

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In Pursuit of Zeta-3 by Paul J. Nahin Pdf

"For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for those interested, it's 1.20205...), there is no known symbolic expression. A symbolic formula would not only provide an exact value for the sum, but would allow for greater insight into its characteristics and properties. The answers to these questions are not of purely academic interest; the zeta-3 problem has close connections to physics, engineering, and other areas of mathematics. Zeta-3 arises in quantum electrodynamics and in number theory, for instance, and it is closely connected to the Riemann hypothesis. In In Pursuit of zeta-3, Paul Nahin turns his sharp, witty eye on the zeta-3 problem. He describes the problem's history, and provides numerous "challenge questions" to engage readers, along with Matlab code. Unlike other, similarly challenging problems, anyone with a basic mathematical background can understand the problem-making it an ideal choice for a pop math book"--

Author : United States. National Bureau of Standards
Publisher : Unknown
Page : 302 pages
File Size : 48,9 Mb
Release : 1963
Category : Ionospheric radio wave propagation
ISBN : UCR:31210014476855

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Journal of Research of the National Bureau of Standards by United States. National Bureau of Standards Pdf

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 297 pages
File Size : 51,6 Mb
Release : 2010-02-22
Category : Mathematics
ISBN : 9781400833894

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An Imaginary Tale by Paul J. Nahin Pdf

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.

Author : Radio Mathematics Project
Publisher : Unknown
Page : 288 pages
File Size : 52,6 Mb
Release : 1980
Category : Mathematics
ISBN : UTEXAS:059173023338146

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Radio Mathematics in Nicaragua by Radio Mathematics Project Pdf