Hot Molecules Cold Electrons

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Hot Molecules, Cold Electrons

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 0691207844
Total Pages : 232 pages
Book Rating : 4.6/5 (912 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 2022-05-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat equation’s tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier’s explorations led to the pioneering trans-Atlantic telegraph cable. This feat of engineering reduced the time it took to send a message across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier’s solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book’s mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves. A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into the relationship between a formative equation and one of the most important developments in the history of human communication.

Hot Molecules & Cold Electrons

Author : Paul J. Nahin
Publisher :
ISBN 13 : 9780691191270
Total Pages : pages
Book Rating : 4.1/5 (912 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 . This book was released on 2020 with total page 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)"--

Low Temperatures and Cold Molecules

Author : Ian W. M. Smith
Publisher : Imperial College Press
ISBN 13 : 1848162103
Total Pages : 578 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Low Temperatures and Cold Molecules by : Ian W. M. Smith

Download or read book Low Temperatures and Cold Molecules written by Ian W. M. Smith and published by Imperial College Press. This book was released on 2008 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together, for the first time, the results of recent research in areas ranging from the chemistry of cold interstellar clouds (10-20 K), through laboratory studies of the spectroscopy and kinetics of ions, radicals and molecules, to studies of molecules in liquid helium droplets, to attempts to create molecular (as distinct from atomic) Bose-Einstein condensates.

Mrs. Perkins's Electric Quilt

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 1400833469
Total Pages : 424 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mrs. Perkins's Electric Quilt by : Paul J. Nahin

Download or read book Mrs. Perkins's Electric Quilt written by Paul J. Nahin and published by Princeton University Press. This book was released on 2009-08-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number-Crunching

Author : Paul J. 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 J. Nahin

Download or read book Number-Crunching written by Paul J. 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.

Oliver Heaviside

Author : Paul J. Nahin
Publisher : JHU Press
ISBN 13 : 9780801869099
Total Pages : 362 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Oliver Heaviside by : Paul J. Nahin

Download or read book Oliver Heaviside written by Paul J. Nahin and published by JHU Press. This book was released on 2002-11-13 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acclaimed biography of the pioneer of modern electrical theory featuring a new preface by author. "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."—Excerpt 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. 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.

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"--

The Probability Integral

Author : Paul J. Nahin
Publisher : Springer Nature
ISBN 13 : 3031384164
Total Pages : 205 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis The Probability Integral by : Paul J. Nahin

Download or read book The Probability Integral written by Paul J. Nahin and published by Springer Nature. This book was released on with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Inside Interesting Integrals

Author : Paul J. Nahin
Publisher : Springer Nature
ISBN 13 : 3030437884
Total Pages : 542 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Inside Interesting Integrals by : Paul J. Nahin

Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom

Author : Vadim Kaloshin
Publisher : Princeton University Press
ISBN 13 : 0691202524
Total Pages : 218 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom by : Vadim Kaloshin

Download or read book Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom written by Vadim Kaloshin and published by Princeton University Press. This book was released on 2020-11-03 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physics Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom). This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.

Chases and Escapes

Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 1400842069
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Chases and Escapes by : Paul J. Nahin

Download or read book Chases and Escapes written by Paul J. Nahin and published by Princeton University Press. This book was released on 2012-07-22 with total page 272 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.

Molecular Physics and the Electrical Theory of Matter

Author : James Arnold Crowther
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis Molecular Physics and the Electrical Theory of Matter by : James Arnold Crowther

Download or read book Molecular Physics and the Electrical Theory of Matter written by James Arnold Crowther and published by . This book was released on 1927 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cold Molecules

Author : Roman Krems
Publisher : CRC Press
ISBN 13 : 1420059041
Total Pages : 756 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Cold Molecules by : Roman Krems

Download or read book Cold Molecules written by Roman Krems and published by CRC Press. This book was released on 2009-06-25 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Book on Ultracold MoleculesCold molecules offer intriguing properties on which new operational principles can be based (e.g., quantum computing) or that may allow researchers to study a qualitatively new behavior of matter (e.g., Bose-Einstein condensates structured by the electric dipole interaction). This interdisciplinary book discusse

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.

Physics with Cold Atoms

Author : Pradip Narayan Ghosh
Publisher : Allied Publishers
ISBN 13 : 9788177641578
Total Pages : 132 pages
Book Rating : 4.6/5 (415 download)

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Book Synopsis Physics with Cold Atoms by : Pradip Narayan Ghosh

Download or read book Physics with Cold Atoms written by Pradip Narayan Ghosh and published by Allied Publishers. This book was released on 2001 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Cold and Ultracold Chemistry

Author : Jesús Pérez Ríos
Publisher : Springer
ISBN 13 : 9783030559380
Total Pages : 267 pages
Book Rating : 4.5/5 (593 download)

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Book Synopsis An Introduction to Cold and Ultracold Chemistry by : Jesús Pérez Ríos

Download or read book An Introduction to Cold and Ultracold Chemistry written by Jesús Pérez Ríos and published by Springer. This book was released on 2021-11-07 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides advanced undergraduate and graduate students with an overview of the fundamentals of cold and ultracold chemistry. Beginning with definitions of what cold and ultracold temperatures mean in chemistry, the book then takes the student through the essentials of scattering theory (classical and quantum mechanical), light-matter interaction, reaction dynamics and Rydberg physics. The author aims to show the reader the richness of the topic while motivating students to understand the fundamentals of these intriguing reactions and underlying connecting relationships. Including material which was previously only found in specialized review articles, this book provides students working in the fields of ultracold gases, chemical physics and physical chemistry with the tools they need to immerse themselves in the realm of cold and ultracold chemistry. This book opens up the exciting chemical laws which govern chemistry at low temperatures to the next generation of researchers.