Showing titles in Mathematics

We measure rainfall and radiation, the depths of space and the emptiness of atoms, calories and steps, happiness and fear. If we could not measure then we could not observe the world around us; we could not experiment, learn, and co-operate. But why did this urge to measure flourish? And when did measurement become ubiquitous? It is an incredible story that spans hunter-gatherer societies to ancient Egyptians, the French Revolution to the relentless quantification of the 21st-century self. It is a tale that tracks humanity's search for dependable truths in a chaotic universe.

Over two millennia ago, a Greek philosopher had a number of wondrous insights that paved the way to cosmology, physics, geography, meteorology, and biology, setting in motion a new way of seeing the world. In this elegant work, acclaimed physicist Carlo Rovelli brings to light the importance of Anaximander's overlooked legacy to modern science. He examines Anaximander as a scientist interested in shedding light on the deep nature of scientific thinking, which Rovelli locates in his rebellious ability to reimagine the world again and again.

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.

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.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.

Emotions are powerful. In newspaper headlines and on social media, they have become the primary way of understanding the world. But strong feelings make it more difficult to see the reality behind the rhetoric. In The Art of Logic, Eugenia Cheng shows how mathematical logic can help us see things more clearly - and know when politicians and companies are trying to mislead us.

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Statistics has played a leading role in our scientific understanding of the world for centuries, yet we are all familiar with the way statistical claims can be sensationalised, particularly in the media. In the age of big data, as data science becomes established as a discipline, a basic grasp of statistical literacy is more important than ever. In The Art of Statistics, David Spiegelhalter guides the listener through the essential principles we need in order to derive knowledge from data.

Ever since the dawn of human civilisation, we have been trying to make predictions about what's in store for us. We do this on a personal level, so that we can get on with our lives efficiently (should I hang my laundry out to dry, or will it rain?). But we also have to predict on a much larger scale, often for the good of our broader society (how can we spot economic downturns or prevent terrorist attacks?). For just as long, we have been getting it wrong.

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.

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.

These stories from Quanta Magazine map the routes of mathematical exploration, showing listeners how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. Listeners of The Prime Number Conspiracy are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge," says Quanta editor-in-chief Thomas Lin.

The insanely useful strategies presented here are clear and concise and taught with many hand examples that demonstrate profitable poker play. Sky will quiz your understanding throughout the book, and he’ll have you taking action on and off the felt with 55 different actions steps. This isn’t just a hear-it-and-shelve-it poker guide. This audiobook is your new poker coach; teaching you strategies and expecting you to use them. Then when you’re ready, repeating the process with the next valuable set of strategies.

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.

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.

Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb - veteran trader, renowned risk expert, polymathic scholar, erudite raconteur has penned a modern classic that turns on its head what we believe about luck and skill. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill - the world of trading - Fooled by Randomness provides captivating insight into one of the least understood factors in all our lives.

PLAYING WITH REALITY explores the riveting history of games since the Enlightenment, weaving an unexpected path through military theory, biology, artificial intelligence, neuroscience, cognitive psychology, and the future of democracy. As neuroscientist and physicist Kelly Clancy shows us, games have been deeply intertwined with the arc of history. War games shaped the outcomes of real wars in nineteenth and twentieth century Europe. Game theory warped our understanding of human behavior and brought us to the brink of annihilation.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

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.