Showing titles in Mathematics

This audiobook is about luck, or more precisely, how we perceive and deal with luck in life and business. It is already a landmark work, and its title has entered our vocabulary. In its second edition, Fooled by Randomness is now a cornerstone for anyone interested in random outcomes.

We would all be better off if everyone saw mathematics as a practical ally. Sadly, most of us fear maths and seek to avoid it. This is because mathematics doesn't have good 'people skills' - it never hesitates to bluntly point out when we are wrong. But it is only trying to help! Mathematics is a friend which can fill the gaps in what our brains can do naturally. Luckily, even though we don't like sharing our own mistakes, we love to listen to tales about what happens when maths errors make the everyday go horribly wrong....

New insights from the science of science Facts change all the time. Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing. But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know.

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 two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

When we learn, we change what we believe and how we interact with the world. This changes who we are as people and what we can achieve. Many people grow up being told they are ‘not a maths person’ or perhaps ‘not smart’. They come to believe their potential is limited. Now, however, the latest science has revealed that our identities are constantly in flux; when we learn new things, we can change our identities, increase our potential and broaden our capacity to receive new information.

Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. Sharon Bertsch McGrayne here explores this controversial theorem and the human obsessions surrounding it.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler - Stanford researcher, professor of math education, and expert on math learning - has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

In this irreverent and illuminating audiobook, acclaimed writer and scientist Leonard Mlodinow shows us how randomness, chance, and probability reveal a tremendous amount about our daily lives, and how we misunderstand the significance of everything from a casual conversation to a major financial setback. As a result, successes and failures in life are often attributed to clear and obvious causes, when in actuality they are more profoundly influenced by chance.

When was the last time you read a grand statement, accompanied by a large number and wondered whether it could really be true? Statistics are vital in helping us tell stories - we see them in the papers, on social media and we hear them used in everyday conversation - and yet we doubt them more than ever. But numbers - in the right hands - have the power to change the world for the better. Contrary to popular belief, good statistics are not a trick, although they are a kind of magic.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

Numbers. Like the alphabet, they’re one of the most elementary of concepts learned and memorized at a young age; but outside of figuring out tips and taxes, you probably haven’t given much thought to them since then. To a mathematician, every number has its own unique properties and personality - and when studied, played with, and manipulated, numbers can actually be tons of fun.

This book reveals how statistics and probability are fundamental to our everyday lives—from advertisements to public opinion polls, weather forecasts to government policies, scientific research to stock market information. Haim Shapira then presents a myriad of anecdotes, riddles, case studies and practical exercises in his trademark witty voice to guide the listner through the importance of statistics and probability in everyday life.

Work with data like a pro using this guide that breaks down how to organize, apply, and most importantly, understand what you are analyzing in order to become a true data ninja.

Alan Turing was the mathematician whose cipher-cracking transformed the Second World War. Taken on by British Intelligence in 1938, as a shy young Cambridge don, he combined brilliant logic with a flair for engineering. In 1940 his machines were breaking the Enigma-enciphered messages of Nazi Germany's air force. He then headed the penetration of the super-secure U-boat communications.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you'll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.

Game theory means rigorous strategic thinking. It’s the art of anticipating your opponent’s next moves, knowing full well that your rival is trying to do the same thing to you. Though parts of game theory involve simple common sense, much is counterintuitive, and it can only be mastered by developing a new way of seeing the world. Using a diverse array of rich case studies - from pop culture, TV, movies, sports, politics, and history - the authors show how nearly every business and personal interaction has a game-theory component to it.

Brian Clegg was always fascinated by Isaac Asimov's classic Foundation series of books, in which the future is predicted using sophisticated mathematical modelling of human psychology and behaviour. Only much later did he realise that Asimov's 'psychohistory' had a real-world equivalent: game theory. Originating in the study of probabilistic gambling games that depend on a random source—the throw of a dice or the toss of a coin—game theory soon came to be applied to human interactions: essentially, what was the best strategy to win, whatever you were doing?