When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible, Nahin Paul J.
Старое издание
Автор: Nahin, Paul J. Название: When least is best ISBN: 0691130523 ISBN-13(EAN): 9780691130521 Издательство: Wiley Цена: 3960.00 р. Наличие на складе: Есть у поставщикаПоставка под заказ. Описание: 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. This is the book on optimization for math enthusiasts of all backgrounds.
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 kind of glass 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, and the book also includes a new analysis of how the Enola Gay escaped the atomic blast from the bomb it dropped on Hiroshima.
More than a puzzle book, this work will immerse you in the delights of scientific history while honing your math skills.
Автор: Nahin Paul Название: Number-Crunching ISBN: 0691144257 ISBN-13(EAN): 9780691144252 Издательство: Wiley Рейтинг: Цена: 3960.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and powerful computers. This title looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve conundrums such as the three-body, Monte Carlo, and gambler`s ruin problems.
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, the pioneering trans-Atlantic telegraph cable.
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.
A collection of stimulating probability puzzles from best-selling math writer Paul Nahin
What are the chances of a game-show contestant finding a chicken in a box? Is the Hanukkah dreidel a fair game? Will you be alive ten years from now? These are some of the one-of-a-kind probability puzzles that popular math writer Paul Nahin offers in this informative book. Nahin brings probability to life with colorful historical anecdotes and a unique puzzle-solving approach that illustrates many of the techniques mathematicians and scientists use to grapple with probability. He looks at classic puzzles--from Galileo's dice-tossing problem to a disarming dice puzzle that would have astonished even Newton--and presents a dozen challenge problems and twenty-five probability puzzlers. With wit and insight, Nahin demonstrates why seemingly simple probability problems can stump even the experts.
Описание: 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 ge
Описание: Third printing. First paperback printing. Original copyright date: 2013.
Автор: Nahin Paul J. Название: Dr. Eulers Fabulous Formula: Cures Many Mathematical Ills ISBN: 0691175918 ISBN-13(EAN): 9780691175911 Издательство: Wiley Рейтинг: Цена: 3168.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Nahin, Paul J. Название: Inside interesting integrals ISBN: 3030437876 ISBN-13(EAN): 9783030437879 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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;
Автор: Nahin, Paul J. Название: When least is best ISBN: 0691130523 ISBN-13(EAN): 9780691130521 Издательство: Wiley Рейтинг: Цена: 3960.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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. This is the book on optimization for math enthusiasts of all backgrounds.
Автор: Nahin P Название: Mrs. Perkins`s Electric Quilt ISBN: 0691135401 ISBN-13(EAN): 9780691135403 Издательство: Wiley Рейтинг: Цена: 3960.00 р. Наличие на складе: Поставка под заказ.
Описание: What does quilting have to do with electric circuit theory? This book presents an exploration of some of the many ways that math and physics combine to create something vastly more powerful, useful, and interesting than either is by itself.
Автор: Nahin Paul J. Название: An Imaginary Tale ISBN: 0691169241 ISBN-13(EAN): 9780691169248 Издательство: Wiley Рейтинг: Цена: 2216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the title, "[the square root of minus one]" appears as a radical over "-1."
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