The Mathematical Radio

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The Mathematical Radio

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691235325
Total Pages : 377 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The Mathematical Radio by : Paul J. Nahin

Download or read book The Mathematical Radio written by Paul J. Nahin and published by Princeton University Press. This book was released on 2024-01-16 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

When Least Is Best

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691218765
Total Pages : 406 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis When Least Is Best by : Paul J. Nahin

Download or read book When Least Is Best written by Paul J. Nahin and published by Princeton University Press. This book was released on 2021-05-18 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number-Crunching

Author : Paul Nahin
Publisher : Princeton University Press
ISBN 13 : 1400839580
Total Pages : 406 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Number-Crunching by : Paul Nahin

Download or read book Number-Crunching written by Paul Nahin and published by Princeton University Press. This book was released on 2011-08-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Science of Radio

Author : Paul J. Nahin
Publisher : Springer Science & Business Media
ISBN 13 : 9780387951508
Total Pages : 516 pages
Book Rating : 4.9/5 (515 download)

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Book Synopsis The Science of Radio by : Paul J. Nahin

Download or read book The Science of Radio written by Paul J. Nahin and published by Springer Science & Business Media. This book was released on 2001-06-08 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Chases and Escapes

Author : Paul Nahin
Publisher : Princeton University Press
ISBN 13 : 1400842069
Total Pages : 285 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Chases and Escapes by : Paul Nahin

Download or read book Chases and Escapes written by Paul Nahin and published by Princeton University Press. This book was released on 2012-07-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics for the Nonmathematician

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486316130
Total Pages : 676 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematics for the Nonmathematician by : Morris Kline

Download or read book Mathematics for the Nonmathematician written by Morris Kline and published by Courier Corporation. This book was released on 2013-04-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Dr. Euler's Fabulous Formula

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691175918
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Dr. Euler's Fabulous Formula by : Paul J. Nahin

Download or read book Dr. Euler's Fabulous Formula written by Paul J. Nahin and published by Princeton University Press. This book was released on 2017-04-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

Duelling Idiots and Other Probability Puzzlers

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 1400843049
Total Pages : 300 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Duelling Idiots and Other Probability Puzzlers by : Paul J. Nahin

Download or read book Duelling Idiots and Other Probability Puzzlers written by Paul J. Nahin and published by Princeton University Press. This book was released on 2012-07-22 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the workings of probability. Over the years, Nahin, a veteran writer and teacher of the subject, has collected these and other favorite puzzles designed to instruct and entertain math enthusiasts of all backgrounds. If idiots A and B alternately take aim at each other with a six-shot revolver containing one bullet, what is the probability idiot A will win? What are the chances it will snow on your birthday in any given year? How can researchers use coin flipping and the laws of probability to obtain honest answers to embarrassing survey questions? The solutions are presented here in detail, and many contain a profound element of surprise. And some puzzles are beautiful illustrations of basic mathematical concepts: "The Blind Spider and the Fly," for example, is a clever variation of a "random walk" problem, and "Duelling Idiots" and "The Underdog and the World Series" are straightforward introductions to binomial distributions. Written in an informal way and containing a plethora of interesting historical material, Duelling Idiots is ideal for those who are fascinated by mathematics and the role it plays in everyday life and in our imaginations.

The Book of Perfectly Perilous Math

Author : Sean Connolly
Publisher : Hachette+ORM
ISBN 13 : 1523502371
Total Pages : 254 pages
Book Rating : 4.5/5 (235 download)

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Book Synopsis The Book of Perfectly Perilous Math by : Sean Connolly

Download or read book The Book of Perfectly Perilous Math written by Sean Connolly and published by Hachette+ORM. This book was released on 2017-09-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

How to Fall Slower Than Gravity

Author : Paul Nahin
Publisher : Princeton University Press
ISBN 13 : 0691185026
Total Pages : 319 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis How to Fall Slower Than Gravity by : Paul Nahin

Download or read book How to Fall Slower Than Gravity written by Paul Nahin and published by Princeton University Press. This book was released on 2018-11-27 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of Love

Author : Hannah Fry
Publisher : Simon and Schuster
ISBN 13 : 1476784884
Total Pages : 128 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis The Mathematics of Love by : Hannah Fry

Download or read book The Mathematics of Love written by Hannah Fry and published by Simon and Schuster. This book was released on 2015-02-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A mathematician pulls back the curtain and reveals the hidden patterns--from dating sites to divorce, sex to marriage--behind the rituals of love ... applying mathematical formulas to the most common yet complex questions pertaining to love: What's the chance of finding love? What's the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down?"--Amazon.com.

The Mathematical Theory of Communication

Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 141 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Mathematical Theory of Communication by : Claude E Shannon

Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Radio Propagation and Antennas

Author : Steve Cerwin
Publisher :
ISBN 13 : 9781728320335
Total Pages : 266 pages
Book Rating : 4.3/5 (23 download)

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Book Synopsis Radio Propagation and Antennas by : Steve Cerwin

Download or read book Radio Propagation and Antennas written by Steve Cerwin and published by . This book was released on 2019-07-24 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is from the hands-on perspective of a lifelong ham radio operator turned professional "RF and antenna guy" that this book is written. The intense mathematical antenna descriptions given in most antenna handbooks is more befuddling than enlightening for many. So in this book the intuitive is emphasized and mathematics is minimized, though many formulas are given to calculate selected parameters if desired. The purpose of this book is to provide a basic understanding of antennas and radio propagation for both professionals and amateurs alike. Many of the technical explanations were developed for a 5-day antenna course in which the requirement was to take students from zero to antennas in one week. The characteristics of many antenna types are discussed and construction recipes are given for building selected antenna types. The intent is to provide enough basic understanding so that the interested readers can select an appropriate antenna for their application and then design and build one for themselves. More than anything this book is intended to give the reader a basic understanding of what radio waves are, how they behave, and insight to the creative thought processes used to build the antennas that launch and receive them.

Humble Pi

Author : Matt Parker
Publisher : Penguin
ISBN 13 : 0593084691
Total Pages : 337 pages
Book Rating : 4.5/5 (93 download)

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Book Synopsis Humble Pi by : Matt Parker

Download or read book Humble Pi written by Matt Parker and published by Penguin. This book was released on 2021-01-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

Hot Molecules, Cold Electrons

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691191727
Total Pages : 232 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Hot Molecules, Cold Electrons by : Paul J. Nahin

Download or read book Hot Molecules, Cold Electrons written by Paul J. Nahin and published by Princeton University Press. This book was released on 2020-03-17 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a testament to the intimate, mutual embrace of mathematics and physics. It achieves that by telling the story of an historical event of tremendous impact upon society, both spiritually and technically - the mid-19th century construction of the trans-Atlantic telegraph cable, which reduced the time to send a message across the ocean from weeks to minutes. The story of the cable actually begins decades earlier, at the start of the century, with the French mathematical physicist Joseph Fourier's development of the mathematics that the Scottish physicist William Thomson (later Lord Kelvin) would use to analyze the electrical physics of the cable. The story of Fourier opens the book, that of Thomson completes it, and in-between the reader will learn how to derive Fourier's second-order partial differential equation for the flow of heat energy in matter, how Fourier solved the heat equation, how Thomson used Fourier's solutions to calculate the age of the Earth (imagined to be the result of the of an initially molten sphere of blinding brilliance) and, finally, how Thomson showed that the heat equation also describes the Atlantic cable. An epilogue describing the post-Thomson developments completes the book. All readers who have completed first courses at the level of AP-calculus and AP-physics will be able to read this book. This is a perhaps surprising feature of the book, as the mathematics discussed is normally not encountered until the second year (or even later) of college-level work. This book shows that, in fact, the technical material is fully graspable by a college freshman. Unlike a pure technical book, readers will also find a lot of fascinating history in this book (including the bizarre story of how the English novelist Charles Dickens used the Atlantic cable to send a coded message - during his 1867 American reading tour - to avoid a career-damaging scandal concerning his mistress)"--

The A.R.R.L. Antenna Book

Author :
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis The A.R.R.L. Antenna Book by :

Download or read book The A.R.R.L. Antenna Book written by and published by . This book was released on 1964 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

In Pursuit of Zeta-3

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691206074
Total Pages : 342 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis In Pursuit of Zeta-3 by : Paul J. Nahin

Download or read book In Pursuit of Zeta-3 written by Paul J. Nahin and published by Princeton University Press. This book was released on 2021-10-19 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--