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by Robin Sharma
17 Equations That Changed the World
In Pursuit of the Unknown by Ian Stewart is a fascinating tour of the history of mathematics. From ancient times to modern, it explores the discoveries and controversies that have shaped our understanding of this integral field.
On the surface, the Pythagorean theorem looks simple. Made up of the equation a²+b²=c², it explains the relationship between the three sides of a right-angled triangle where a and b represent the sides that form the right angle and c is the longest side.
Despite its simplicity, the theorem was a vital first step in developing the geometric techniques needed for making accurate maps: triangulation. Since all polygons can be cut into triangles, and all triangles can be cut into two right-angled triangles, the equation allows us to calculate the sides and angles of any polygon. In mapmaking, the area being surveyed is covered with a network of triangles, which allows us to measure distances and angles between stretches of land.
Because of technological advancements in measuring tools, explicit triangulation is no longer used. However, it’s still there in the methods used to deduce locations from the satellite data.
Generalizations of Pythagoras’s theorem also enable us to measure the shape of the universe. The Earth has the shape of a sphere, sure, but what about the universe? Finding the answer to this question seems like an impossible task: after all, we can’t step outside to see what shape it is.
However, thanks to generalizations of Pythagoras’s theorem, there is something else we can do.
Pythagoras’s theorem applies to triangles in a flat plane. But generalizations of it can apply to triangles in spaces that are curved. For example, applying triangles onto a sphere makes it possible to measure our planet. But there’s more: these generalizations can also tell us how curved the spaces are. So by measuring triangles within space, we can try to compute its curvature.
In this book, Ian Stewart focuses on 17 famous equations in mathematics and physics history, highlighting their impact on society. Stewart gives a brief history of the wonders of scientific discovery, and peppers it with vivid examples and anecdotes.
In Pursuit of the Unknown by Ian Stewart (2012) takes readers on an exciting journey through the world of mathematics, revealing its hidden beauty and applications in our everyday lives. Here's why this book is definitely worth reading:
Equations are the lifeblood of mathematics, physics and technology. Without them, our world would not exist in its present form.
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Try Blinkist to get the key ideas from 7,500+ bestselling nonfiction titles and podcasts. Listen or read in just 15 minutes.
Start your free trialBlink 3 of 8 - The 5 AM Club
by Robin Sharma
What is the main message of In Pursuit of the Unknown?
The main message of In Pursuit of the Unknown is that mathematics is a fascinating and ever-evolving field that impacts our lives in countless ways.
How long does it take to read In Pursuit of the Unknown?
The reading time for In Pursuit of the Unknown varies depending on the reader's speed, but it typically takes several hours. However, the Blinkist summary can be read in just 15 minutes.
Is In Pursuit of the Unknown a good book? Is it worth reading?
In Pursuit of the Unknown is a captivating book that offers a deep dive into the world of mathematics. It is certainly worth reading if you enjoy exploring the mysteries of the universe.
Who is the author of In Pursuit of the Unknown?
Ian Stewart is the author of In Pursuit of the Unknown.