In Pursuit of the Unknown: 17 Equations That Changed the World

by Ian Stewart

Basic Books | March 13, 2012 | Hardcover

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In In Pursuit of the Unknown, celebrated mathematician Ian Stewart uses a handful of mathematical equations to explore the vitally important connections between math and human progress. We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.

Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.

An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

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Found in: Science and Nature
Appropriate for ages: 16 - 16
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    Important Equations: Their History and Meaning
    by George Poirier
    14 months ago

    As a quick glance through this book will indicate, some of the equations presented are well-known and simple whereas others can look awfully intimidating. A given reader may be intimately familiar with several of these equations while at the same time be totally unaware of some of the others or their significance. The author does not provide mathematical derivations of these equations. Instead, he describes how they came about, explains their meanings and applications and then discusses their legacy. Several fields are covered in this fascinating book: physics, engineering, mathematics, statistics, information theory, chaos and economics. The author writes very clearly and in a friendly, lively and engaging style. In some sections the author seems to assume very little or no pertinent knowledge on the part of the reader and as a result is very careful and detailed in his explanations, e.g., logarithms, calculus. In other cases, the discussions are much more challenging, and although new terms are briefly defined, the discussions may still result in some head scratching, e.g., quantum mechanics, Black-Scholes equation. Consequently, it is difficult to determine at what population this book is aimed. Science buffs may be bored by some of the more elementary discussions but find themselves more challenged by the topics on which they know very little. On the other hand, a younger (or less-informed) reader may learn quite a bit from the elementary discussions but get lost in some of the other sections. Overall, I think that it is safe to say that this book has something for everyone. Although I did find some sections rather challenging, I must admit that I thoroughly enjoyed it.

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