Titres dans Mathématique

Visionary physicist Geoffrey West is a pioneer in the field of complexity science, the science of emergent systems and networks. The term complexity can be misleading, however, because what makes West's discoveries so beautiful is that he has found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities, and our businesses.

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.

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.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

When he was six years old, Roger Penrose discovered a sundial in a clearing near his house. Through that machine made of light, shadow, and time, Roger glimpsed a “world behind the world” of transcendently beautiful geometry. It spurred him on a journey to become one of the world’s most influential mathematicians, philosophers, and physicists. Penrose would prove the limitations of general relativity, set a new agenda for theoretical physics, and astound colleagues and admirers with the elegance and beauty of his discoveries.

Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia's views on crime and punishment, the psychology of slime molds, what Facebook can and can't figure out about you, and the existence of God.

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.

Before John Glenn orbited the Earth or Neil Armstrong walked on the moon, a group of dedicated female mathematicians known as "human computers" used pencils, slide rules, and adding machines to calculate the numbers that would launch rockets and astronauts into space. Among these problem solvers were a group of exceptionally talented African American women, some of the brightest minds of their generation.

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.

Mathematics is a fundamental part of life, yet every one of us has a unique relationship with learning and understanding the subject. Working with numbers may inspire confidence in our abilities or provoke anxiety and trepidation. Stanford researcher, mathematics education professor, and the leading expert on math learning Dr. Jo Boaler argues that our differences are the key to unlocking our greatest mathematics potential.

John Forbes Nash, Jr., a prodigy and legend by the age of 30, dazzled the mathematical world by solving a series of deep problems deemed "impossible" by other mathematicians. But at the height of his fame, Nash suffered a catastrophic mental breakdown and began a harrowing descent into insanity, resigning his post at MIT, slipping into a series of bizarre delusions, and eventually becoming a dreamy, ghostlike figure at Princeton, scrawling numerological messages on blackboards.

In the 18th century, the British minister and mathematician Thomas Bayes devised a theorem that allowed him to assign probabilities to events that had never happened before. It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes's formula has become a linchpin of the digital economy. But here's where things get interesting: Bayes's theorem can also be used to lay odds on the existence of extraterrestrial intelligence, and on the biggest question of all: how long will humanity survive?

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It's the ultimate in fantasy baseball: You get to pick the roster, set the lineup, and decide on strategies - with real players, in a real ballpark, in a real playoff race. That's what baseball analysts Ben Lindbergh and Sam Miller got to do when an independent minor-league team in California, the Sonoma Stompers, offered them the chance to run its baseball operations according to the most advanced statistics.

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.

Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it. In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable.

In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.

Math Therapy explores the root causes of math trauma, and the empowering ways we can heal from it. Each week host Vanessa Vakharia, aka The Math Guru, dives into what we get right and wrong about math education, and chats with some of today’s most inspiring and visionary minds working to make math more accessible, diverse, and fun for students of all ages. Whether you think you’re a "math person" or not, you’re about to find out that math people don’t actually exist – but the scars that math class left on many of us, definitely do. And don’t worry, no calculators or actual math ...

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

Does the universe embody beautiful ideas? Artists as well as scientists throughout human history have pondered this "beautiful question". With Nobel laureate Frank Wilczek as your guide, embark on a voyage of related discoveries, from Plato and Pythagoras up to the present. Wilczek's groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature.