Mathematics of Approximation

Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they ho

What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? InHow to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the

What is math? And how exactly does it work? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic of mathematics?sprinkled throughout with recipes for everyt

It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear pow

A celebrated mathematician explores how math helps us make sense of the unpredictable We would like to believe we can know things for certain. We want to be able to figure out who will win an election

Kurt Godel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the e

"[Cheng] does a great service by showing us non-mathematician schlubs how real mathematical creativity works." --Wall Street JournalHow big is the universe? How many numbers are there? And is infinity

Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than

"[In Calculating the Cosmos] Ian Stewart elegantly reviews the uncanny effectiveness of mathematics in explaining the universe."--Mario Livio, Wall Street Journal In Calculating the Cosmos, Ian Stewar

The brilliant and charismatic Eugenia Cheng takes us on a dizzying journey through what's bigger than infinity and smaller than its oppositeEvery child had a schoolyard fight that ended with this clas

Mathematics has informed our understanding of the cosmos on every scale: from the origin and motion of the Moon, to the intricacies of asteroids, comets, and Kuiper Belt objects. Math has taught us ho

The road that leads from the Möbius strip — a common-sense-defying continuous loop with only one side and one edge, made famous by the illustrations of M.C. Escher — goes to some of

Mathematical superstar and inventor of fractal geometry, Benoit Mandelbrot, has spent the past forty years studying the underlying mathematics of space and natural patterns. What many of his follower

Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart’s Hoard of Mathemati

"Love and Math tells the two intertwined stories of mathematics and the adventure of one man in learning it. The result is a story about how he became one of the twenty-first century's leading mathema

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 "There's a 10% chance of rain" instead of "It will be sunny tomorrow"? 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. In The Primacy of Doubt, Palmer argues that embracing the mathematics of uncertainty is vital to understanding ourselves and the universe around us. Whether we want to predict climate change or market crashes, understand how the brain is able to outpace supercomputers, or find a theory that links quantum and cosmological physics, Palmer shows how his vision of mathematical uncertainty provides new insights into some of the deepest problems in science. The result is a revolution--one that shows that power begins by embracing what we don't know.

An approachable and informative guide to the major building blocks of contemporary mathematics--from the Pythagorian Theorem to Einstein's theory of relativity--explores how these equations are at the

Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came tog

A brilliant mathematician examines the complexity of gender and society and forges a path out of inequality.Why are men in charge? After years in the male-dominated field of mathematics and in the fem

First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum

In Chance, celebrated mathematician Amir D. Aczel turns his sights on probability theory—the branch of mathematics that measures the likelihood of a random event. He explains probability in cle

In A Mathematician Plays the Stock Market best-selling author John Allen Paulos demonstrates what the tools of mathematics can tell us about the vagaries of the stock market. Employing his trademark

A successful science writer and a teenage math prodigy reveal the complex mathematics that is all around usEveryone has stared at the crumpled page of a math assignment and wondered, where on Earth wi

Argues that geometry is fundamental to string theory--which posits that we live in a 10-dimensional existence--as well as the very nature of the universe, and explains where mathematics will take stri

The Magic of Maths is the maths book you wish you had in school. Using a delightful assortment of examples, from ice cream scoops and poker hands that teach you factorials to mnemonics that help you memorize pi, this book empowers you to see the beauty, simplicity, and fun behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus but you'll also have fun playing with pi, fooling around with Fibonacci numbers, investigating infinity, and marvelling over mathematical magic tricks. A tour of the greatest hits of mathematics, The Magic of Maths is a book for both fans of mathematics and those who want to be proven wrong about their previous prejudices of maths. Arthur Benjamin is a mathematician-known throughout the world as the "mathemagician"-who mixes mathematics and magic to make the subject fun and beautiful. Maths lovers are going to find new ways to