Showing titles in Mathematics

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.

August, 1755. Newcastle, on the north bank of the Tyne. In the fields, men and women are getting the harvest in. Sunlight or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust choked, wielding a five-pound pick by candlelight. Eighteen years old, he’s been down the pits on and off for more than a decade, and now it looks like a life sentence. No unusual story, although Charles is a clever lad - gifted at maths and languages - and for a time he hoped for a different life. Many hoped.

A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart's controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever.

The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate - and how those communications create thoughts, perceptions, and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it.

Simple, concise, and radical, Being Human outlines the Entheological Paradigm, a Grand Unified Theory of reality that accounts for not only all of the physical world, but personal consciousness, life, and God as well. This guide explains the nature of God as a fractal energy being and how this one being works to create all of physical reality and is also embodied in all living beings through the process of evolution. To be human is to be God in a body.

xGenius explores the interplay between analysis, tactics, and decision-making. It seeks to put the sport of football under the microscope with the aim of getting closer to the ultimate truth of what makes players, managers and teams successful. What, ultimately, wins football matches. Packed with examples from the Premier League and beyond, xGenius shows how xG and other performance analysis tools are helping answer previously unanswerable questions.

In Fantastic Numbers and Where to Find Them, leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics. These include Graham's number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite value could never be reached before the universe reset itself; and 10^{-120}, which measures the desperately unlikely balance of energy the universe needs to exist....

The aim of David McAdams’s Game-Changer is nothing less than to empower you with this wisdom - not just to win in every strategic situation (or “game”) you face but to change those games and the ecosystems in which they reside to transform your life and our lives together for the better.

In today's world, analysis has become an extremely important aspect to consider when you are thinking of starting any new line of business or even when it comes to purchasing a new house. The unfortunate fact is that not many people know what analysis is all about. They tend to assume that each of the elements – analysis, business intelligence, algorithms and statistical analysis – are different entities when in reality they are all interlinked. This book will help you gather a greater insight on all the elements. And you will gain an in-depth knowledge on each of these elements in different parts of the book; helping you to increase your knowledge and widen your horizons!

Do you like to make uninformed, often poor decisions? Are you okay with being manipulated by skewed charts and diagrams? How about being lied to about the effectiveness of a product? Statistics can help you make exponentially better calls on what to buy, who to listen to, and what to believe.

From Aristotle to Ada Lovelace: a brief history of the mathematical ideas that have forever changed the world and the everyday people and pioneers behind them. The story of our best invention yet. From our ability to calculate the passing of time to the algorithms that control computers and much else in our lives, numbers are everywhere. They are so indispensable that we forget how fundamental they are to our way of life.

Every day, most of us will read or watch something in the news that is based on statistics in some way. Sometimes it'll be obvious—'X people develop cancer every year'—and sometimes less obvious—'How smartphones destroyed a generation'. Statistics are an immensely powerful tool for understanding the world, but in the wrong hands they can be dangerous. Introducing you to the common mistakes that journalists make and the tricks they sometimes deploy, How to Read Numbers is a vital guide that will help you understand when and how to trust the numbers in the news.

Do you know your fractions from your percentages? Your adjacent to your hypotenuse? And who really knows how to do long division, anyway? Puzzled already? Don’t blame you.... But fret not! You won’t be At Sixes and Sevens for long. In this brilliant, well-rounded guide, Countdown's Rachel Riley will take you back to the very basics, allow you to revisit what you learnt at school (and may have promptly forgotten, *ahem*), build your understanding of maths from the get-go and provide you with the essential toolkit to gain confidence in your numerical abilities.

Size is the most fundamental structural variable of the universe. Neither bacteria nor empires are immune to its laws. Measuring it is challenging, especially where complex systems like economies are concerned, yet mastering it offers rich rewards. Grounded in history and drawing on the latest science, with much recourse to art and classic literature, Size explains the regularities—and peculiarities—of the key processes shaping life, the Earth, technical advances and societies and economies.

From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the 20th century, and explores the wide range of applications in science, and in aspects of economics.

Nathaniel Tilton was leading an ordinary existence in his early30s as a financial advisor in Boston. Then, without a destination in mind, he set out to experience life in more meaningful ways. His path was forged when he met famed MIT blackjack team member Semyon Dukach, who inspired Nathaniel to become a world-class blackjack player.

Every time we download a song from iTunes, take a flight across the Atlantic or talk on our mobile phones, we are relying on great mathematical inventions. Maths may fail to provide answers to various of its own problems, but it can provide answers to problems that don't seem to be its own - how prime numbers are the key to Real Madrid's success, to secrets on the internet and to the survival of insects in the forests of North America.

For decades, psychologists and economists have studied the science of streaks to determine whether the ‘hot hand’ exists. Is there such a thing as being in the zone? Or is it simply a case of seeing patterns in randomness? Genius scholars and Nobel Prize winners have dedicated years to answering this question. A substantial number of the decisions we make each day are rooted in two opposing beliefs: that if something happened before, it will happen again – or if it happened before, it probably won’t happen again.

It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills - and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These "bots" started with human programming and logic, but now their reach extends beyond what their creators ever expected.