As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
I loved this book because it so effectively punctures the myth that mathematics might be dull or boring while teaching much about numbers, the founding stones of all the other branches of mathematics, and ultimately of all of science itself.
At first sight, numbers can seem deceptively blandāwhat else could be as plain vanilla as 1, 2, and 3? Yet simple numbers inevitably give rise to a whole menagerie of other, increasingly exotic numbersāmost of which are soon shown to collectively behave in unforeseeable, puzzling ways (such as prime numbers do). Irrational numbers are starkly counterintuitive, and Julian Harvil does an extraordinary job of showing how and why.
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century
The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define-and why so many questions still surround them.ā¦
Possibly
the best popular science book Iāve ever read.
Palmer explores the nature of
mathematically chaotic systems and shows how we can deal better with the
uncertainty they embody.
Many real-world systems, from something as complex as
the weather to something as simple as a jointed pendulum, are chaotic, meaning
that they are hard to predict as very small changes in the way they are set up
produce vast differences in outcome.
Palmer covers a whole series of different
topics, in several cases giving the best explanation Iāve ever seen. Itās not
that this is an easy read. I had to go back over a couple of sections to really
take them in ā but it was very rewarding.
āQuite possibly the best popular science book Iāve ever readā (Popular Science) shows how the tools that enabled us to overcome the uncertainty of the weather will enable us to find new answers to modern science's most pressing questions
Why does your weather app say āThereās a 10% chance of rainā instead of āIt will be sunny tomorrowā? In large part this is due to the insight of Tim Palmer, who made uncertainty essential to the study of weather and climate. Now he wants to apply it to how we study everything else.
As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
The first time I came across this wonderful book, I did the inevitable double take: I had happened to study infinity in its many possible renditions, and the title of this superb book seems to be a mistake: an obvious, silly contradiction in terms, because we can always add one to any purported 'biggest number in the world' and thereby immediately produce an even bigger number. Yet...This book describes the weird, weird world of huge numbers, the race amongst a rarefied coterie of aficionados to find ever bigger specific, provable numbers, and much else besides.
From cells in our bodies to measuring the universe, big numbers are everywhere
We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can't be such a thing as a 'biggest number'. Or can there?
To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is aā¦
