Science, Mathematics & Technology

This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathemati...

Maths + history + jokes - boring bits = A Quick History of Maths. This book begins around 43,000 years ago with a notched baboon leg, the Lebombo bone (the very first mathematical object in the world) and rushes us past Hindu numerals and the invention of zero, via Pythagoras, Pascal and probability, right up to the present day, with big dataand the maths that rules our digital lives. Geometri-cool! You will discover: How to count on your fingers (there are more ways than you might think!) Wh...

Why is a GBP5 note worth GBP5? Where do coins come from? What do banks actually do? All this and so much more is answered in A Quick History of Money, a crash course from cash cows to cryptocurrency. Money might sound all grown-up and serious, but the history of buying, selling, saving and stealing is full of crazy stories and unbelievable facts. A Quick History of Money is here to show you the silly side, as well as give you the lowdown on the important stuff like interest, stocks and shares...

How did ancient people make decisions? How do the people in power stay in power? Why did Karl Marx have to go without trousers? A Quick History of Politics answers these questions and more, taking a ride through time from plutocrats to people power. What do you think of when you hear 'politics'? Is it grey-haired men in suits, shouting at each other in a weird room? Well, you're partly right... but there's also a whole lot of crazy stories and weird history in the political world. A Quick His...

Strap in for a rip-roaring ride through the history of the universe, starting with the Big Bang, and bringing us right up to present day. What was the universe like when it was a few seconds old? How had it changed by its millionth birthday? And when did time even start, for that matter?! The story of the last 13.8 billion years in one handy volume, you can read about the start of stars, the growth of galaxies and the production of planets. Plus, there are some great dad jokes. Hold on tight....

It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decades--all before his suicide at age forty-one. This New York Times-bestselling biography of the founder of computer science, with a new preface by the author that addresses Turing's royal pardon in 2013, is the definitive account of an extraordinary mind and life. Capturing both t...

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when...

Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your...

Our lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling--reluctantly--for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of man's millennia-long search for the tools to manage the recurrent but unpredictable--to help us prevent, or at least mitigate, the seemingly random blows of disaster, disease, and injustice. In these pages,...

This is the ultimate master class in modern physics. World-class physicist and father of string theory Leonard Susskind and citizen-scientist George Hrabovsky combine forces in a primer that teaches the skills you need to do physics yourself. Combining crystal-clear explanations of the laws of the universe with basic exercises (including essential equations and maths), the authors cover the minimum that readers should master. They introduce the key concepts of modern physics, from classical m...

Leonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David ...

What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while som...

This is the story of how humankind has come to its understanding of the bizarre world of symmetry - a subject of fundamental significance to the way we interpret the world around us. Our eyes and minds are drawn to symmetrical objects, from the sphere to the swastika, the pyramid to the pentagon. Symmetry indicates a dynamic relationship or connection between objects, and it is all-pervasive: in chemistry and physics the concept of symmetry explains the structure of crystals or the theory of ...

What are the chances?! This exclamation greets the scarcely believable coincidence - you're picked up by the same taxi driver several years and thousands of miles apart or, in a second-hand bookshop far from home, you find your own childhood copy of Winnie-the-Pooh on the shelf. But the unlikely is more probable than you think. Against every fibre of common sense, the fact is that it's quite likely that some squirrel, somewhere, will be struck by lightning as it crosses the road. The chaos an...

God Created the Integers is Stephen Hawking's personal choice of the greatest mathematical works in history. He allows the reader to peer into the mind of genius by providing us with excerpts from original mathematical proofs and results. He also helps us understand the progression of mathematical thought, and the very foundations of our presentday technologies. The book includes landmark discoveries spanning 2500 years and representing the work of mathematicians such as Euclid, Georg Cantor,...

Mobius bagels, Euclid's flourless chocolate cake and apple pi - this is maths, but not as you know it. In How to Bake Pi, mathematical crusader and star baker Eugenia Cheng has rustled up a batch of delicious culinary insights into everything from simple numeracy to category theory ('the mathematics of mathematics'), via Fermat, Poincare and Riemann. Maths is much more than simultaneous equations and pr2 : it is an incredibly powerful tool for thinking about the world around us. And once you ...

What makes a bridge wobble when it's not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit I've Got The Power? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world. As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doe...

In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Goedel's belief in the possibility of robot consciousness. In the rea...

The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is ther...

Is flying dangerous? How much do the world's cows weigh? And what makes people happy? From earth's nations and inhabitants, through the fuels and foods that energize them, to the transportation and inventions of our modern world - and how all of this affects the planet itself - in Numbers Don't Lie, Professor Vaclav Smil takes us on a fact-finding adventure, using surprising statistics and illuminating graphs to challenge lazy thinking. Packed with 'Well-I-never-knew-that' information and wit...

With searching questions such as these, Andrew Hodges takes apart the numbers 1 to 9 and gathers up the pieces. Inspired by millenia of human attempts to figure things out, he takes a witty, hands-on approach to such various topics as musical harmony, the chemistry of sunflowers and the logic of the game Paper, Scissors, Rock. With simple elegance, Hodges unveils a universal language which has its roots in antiquity and yet enables us to connect with the far reaches of the universe. Whether i...

Part-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale - from the sub-atomic to the intergalactic - showing how mathematics provides the answers to our questions about the world. Where do we come from? What makes the universe the way it is? In essence, why are we here? With dazzling clarity, Max Tegmark ponders these deep mysteries and allows us to grasp the most cuttin...

The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challenge the world. In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled "On the Number of Prime Numbers Less Than a Given Quantity." Today, after 150 years of careful research and exhaustive study, the Riemann Hypothesis remains unsolved, with a one-million-dollar prize earmarked for the ...

In The Theoretical Minimum, world-class physicist Leonard Susskind provided a brilliant first course in classical mechanics, offering readers not an oversimplified introduction but the real thing - everything you need to start doing physics, and nothing more. Now he returns with the next challenge that every aspiring physics buff must tackle: quantum mechanics. Unlike most popular physics books, Susskind and his co-author Art Friedman teach the maths and equations that are essential to any re...

How should a democracy choose its representatives? How does Covid-19 spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are questions about geometry. Seriously! Jordan Ellenberg reveals the mathematics behind some of the most important scientific, political and philosophical conundrums we face. The word 'geometry', from the Greek, means 'measuring...

In the first two books in his wildly popular The Theoretical Minimum series, world-class physicist Leonard Susskind provided a brilliant first course in classical and quantum mechanics, offering readers not an oversimplified introduction, but the real thing - everything you need to start doing physics, and nothing more. Now, thankfully, Susskind and his former student Art Friedman are back, this time to introduce readers to special relativity and classical field theory. At last, waves, forces...

Why do we need Statistics? What do terms like 'dispersion', 'correlation', 'normal distribution' and 'significance' actually mean? How can I learn how to think statistically? This bestselling introduction is for anyone who wants to know how statistics works and the powerful ideas behind it. Teaching through words and diagrams instead of requiring you to do complex calculations, it assumes no expert knowledge and makes the subject accessible even to readers who consider themselves non-mathemat...

Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use--from our computers and cars, to home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer, Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different eras--mathematician and phi...

The complexity of mathematics - its abstract rules and obscure symbols - can seem very distant from the everyday. There are those things that are real and present, it is supposed, and then there are mathematical concepts: creations of our mind, mysterious tools for those unengaged with the world. Yet, from its most remote history and deepest purpose, mathematics has served not just as a way to understand and order, but also as a foundation for the reality it describes. In this elegant book, m...

They know something you don't know. They work inside investment banks, betting companies and social media giants. What are the secrets held by mathematicians and what can everyone else learn from them? Their advantage can be reduced to a small number of equations. Ten of them. And, surprisingly, it isn't their technical details that give them an edge. It is the way these equations allow them to view problems from a different angle -- a way of seeing the world that anyone can learn. In this ey...

Karen Olsson's stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings--Simone, a philosopher, mystic, and social activist, and André, an influential mathematician--while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it's the odd detours tha...

This is the complete guide to exploring the fascinating world of maths you were never told about at school. Stand-up comedian and mathematician Matt Parker uses bizarre Klein Bottles, unimaginably small pizza slices, knots no one can untie and computers built from dominoes to reveal some of the most exotic and fascinating ideas in mathematics. Starting with simple numbers and algebra, this book goes on to deal with inconceivably big numbers in more dimensions than you ever knew existed. And a...

George Dyson's fascinating account of the early years of computers: Turing's Cathedral is the story behind how the PC, iPod, smartphone and almost every aspect of modern life came into being. In 1945 a small group of brilliant engineers and mathematicians gathered at the Institute for Advanced Study in Princeton, determined to build a computer that would make Alan Turing's theory of a 'universal machine' reality. Led by the polymath emigre John von Neumann, they created the numerical framewor...

Mathematics is an indispensable tool for life. From the systems that underpin our newsfeeds, through to the data analysis that informs our health and financial decisions, to the algorithms that power how we search online - mathematics is at the heart of how our modern world functions. In 20 dip-in lessons, Understanding Numbers explains how and why mathematics fuels your world and arms you with the knowledge to make wiser choices in all areas of your life.Hardback: 160 PagesProduct Dimensions...

Is anything truly random? Does infinity actually exist? Could we ever see into other dimensions? In this delightful journey of discovery, David Darling and extraordinary child prodigy Agnijo Banerjee draw connections between the cutting edge of modern maths and life as we understand it, delving into the strange - would we like alien music? - and venturing out on quests to consider the existence of free will and the fantastical future of quantum computers. Packed with puzzles and paradoxes, mi...

Even the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in 'real life'. Well, maths reaches so far and wide through our world that, love it or hate it, we're all doing maths almost every minute of every day. David Darling and Agnijo Banerjee go in search of the perfect labyrinth, journey back to the second century in pursuit of 'bubble maths', reveal the weirdest mathematicians in history and transform the bewildering into the beautifu...

Maths is everywhere, in everything. It's in the finest margins of modern sport. It's in the electrical pulses of our hearts and the flight of every bird. It is our key to secret messages, lost languages and perhaps even the shape of the universe of itself. David Darling and Agnijo Banerjee reveal the mathematics at the farthest reaches of our world - from its role in the plots of novels to how animals employ numerical skills to survive. Along the way they explore what makes a genius, why a se...

Many people think mathematics is useless. They're wrong. In the UK, the 2.8 million people employed in mathematical science occupations contributed GBP208 billion to the economy in a single year -- that's 10 per cent of the workforce contributing 16 per cent of the economy. What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick t...

From imaginary numbers to the fourth dimension and beyond, mathematics has always been about imagining impossible things. In x+y, Eugenia Cheng draws on the insights of higher-dimensional mathematics to reveal a transformative new way of talking about the patriarchy, mansplaining and sexism: a way that empowers all of us to make the world a better place. Using precise mathematical reasoning to uncover everything from the sexist assumptions that make society a harder place for women to live to...