Titres dans Mathématique

Artificial Intelligence is transforming the modern world — but beneath the headlines about robots, automation, and smart machines lies something much simpler: the algorithm. These sets of rules, calculations, and logical steps are the beating heart of every intelligent system. In The Basics of AI Algorithms, Julian Vexley breaks down this vast and technical subject into ten clear, accessible chapters designed for the curious reader.

History of mathematics research with iconoclastic madcap twists

From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything How should a democracy choose its representatives? How can you stop a...

One of the Best Books of 2020 — Financial Times One of the "Most 2020 Books of 2020" — Washington Post One of the Best Science Books of 2020 — The Times of London One of the Best Science Books of 2020 — The Guardian From ideas and infections to financial crises and fake news, an "utterly...

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.

En 1637, Descartes révolutionne la manière que l'on a de faire de la géométrie : il pose les bases de ce que l'on appelle la "géométrie algébrique", qui associe, à chaque point de l'espace, 3 coordonnées. Cela permet de résoudre des problèmes géométriques avec des outils algébriques. Cette géométrie est dite "commutative", c'est-à-dire que le produit de deux quantités ne dépend pas de l'ordre des termes : A × B = B × A. Cette propriété est fondamentale, et l'ensemble de l'édifice mathématique en dépend.

What if numbers are not the building blocks of the universe—but reflections of the human mind? For over two thousand years, the Pythagorean vision has shaped our understanding of the cosmos: a universe ruled by harmony, order, and mathematical law. From the “music of the spheres” to modern physics, the idea that reality can be perfectly described by numbers has guided both science and philosophy. Yet as quantum mechanics, neuroscience, and information theory now suggest, this vision may be an exquisite illusion.

The riveting true story of the women who launched America into space. In the 1940s and 50s, when the newly minted Jet Propulsion Laboratory needed quick-thinking mathematicians to calculate velocities and plot trajectories, they didn't turn to male graduates. Rather, they recruited an elite...

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.

Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gödel and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science.

Should one enter a market where someone is in a monopoly position? When is going to the ER a good or a bad decision? Why is it never a good idea for rebels to concede? Practice Game Theory answers all these questions. Think about and solve problems more effectively applying strategic games models to real-life challenges. Learn how top world leaders analyze and assess their next best moves.

When we learn about abstract mathematical concepts—from prime numbers and fractals to aspects of calculus—the most common question is often: when on earth will I need this? To many of us, so-called "pure" mathematics is downright baffling. Yet these concepts are what underpin the world we live in, from internet security to the transmission of radio waves. When you start to think like a mathematician, the secrets of technology and modern life suddenly make sense.

As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.

Why aren't left-handers extinct? What makes a rainbow round? How is a pancreas...like a pendulum? These may not look like math questions, but they are - because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life - by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea!

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.

Humans are pattern-matching creatures, and astrology is the universe's grandest pattern-matching game. In this refreshing work of history and analysis, data scientist Alexander Boxer examines classical texts on astrology to expose its underlying scientific and mathematical framework.

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

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.

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs.

An illuminating, millennia-spanning history of the impact mathematics has had on the world, and the fascinating people who have mastered its inherent power, from Babylonian tax officials to the Apollo astronauts to the eccentric professor who invented the infrastructure of the online world...