Mostrando títulos en Matemáticas

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.

Simply put, an algorithm is a set of instructions-it's the code that makes computers run. A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.

What if everything we think we know about AI is incomplete? A former indie developer noticed something strange: wrong answers from language models clustered together in predictable patterns. That observation led to a theory—and an 84% reduction in inference error. THE MATHEMATICS OF INTELLIGENCE presents the CIC (Compression-Integration-Coherence) framework: a unified theory connecting information theory, statistical mechanics, and neural computation. The central claim is precise and falsifiable: Intelligence = Compression = Free Energy Minimization This isn't philosophy. It's mathematics...

Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster. We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few...

A “vivid, wide-ranging, and delightful guide” (bestselling author Tim Harford) for understanding how and why predictions go wrong, with practical tips to give you a better chance of getting them right How can you be 100 percent sure you will win a bet? Why did so many Pompeians stay put...

The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet.

Are the secrets of the universe written in words - or is it all about the digits? K. C. Cole follows up her paean to the power of physics, Sympathetic Vibrations, with this engaging and accessible guide to the might and majesty of mathematics. The Universe and the Teacup uses relatable examples and humorous prose to demonstrate math's ability to "translate the complexity of the world into manageable patterns".

Why do mobile phones work when you're on a train? What happens when you pull a pop song apart into pure sine waves and play it back on a piano? And what did mathematicians have to do with the great pig stampede of 2012? The answer to each of these questions can be found in the triangle. Join Matt Parker, stand-up comedian and author of the first ever maths book to be a No. 1 bestseller, as he uncovers the secrets of trigonometry and shares extraordinary stories about the mathematicians, philosophers and engineers who dared to take triangles seriously.

Multi-time best-selling IT and mathematics author Arthur Taff presents a leading audiobook for beginners to learn and understand probability concepts such as permutations and combinations. Learning about probability with combinations and permutations gives you a competitive edge in any field. Whether it's poker, horse racing, weather forecasting, playing the lottery, general mathematics, or virtually any other field where odds need to be determined - this audiobook will help you succeed!

Le fondateur de la théorie du chaos et de la relativité. Cédric Villani nous guide à travers l'œuvre de Henri Poincaré, qui fut le plus grand mathématicien de son temps, un éminent philosophe des sciences et le précurseur génial dans de nombreux domaines de recherches qu'il a fondés, la théorie du chaos et la relativité notamment. Une lumineuse histoire des sciences.

Explore the deadly elegance of finance's hidden powerhouse. The Money Formula takes you inside the engine room of the global economy to explore the little-understood world of quantitative finance, and show how the future of our economy rests on the backs of this all-but-impenetrable industry. This book traces the development of financial derivatives from bonds to credit default swaps, and shows how mathematical formulas went beyond pricing to expand their use to the point where they dwarfed the real economy.

Its a known fact that computers can store exponential amounts of information on their hard-drives. But our human brains have a set capacity and just cannot compete against technology on this front. Engineers and scientist are discovering ways to model our human brains and integrate certain aspects of it to create what we know as "neural networks". Take this opportunity to learn about the next big innovation in technology and real-world applications of the next potential trillion-dollar industry (artificial intelligence) that will take the world by storm.

This philosophical essay is the development of a lecture on probabilities which I delivered in 1795 to the normal schools whither I had been called, by a decree of the national convention, as professor of mathematics with Lagrange. I have recently published upon the same subject a work entitled The Analytical Theory of Probabilities. I present here without the aid of analysis the principles and general results of this theory, applying them to the most important questions of life, which are indeed for the most part only problems of probability.

For going on two decades, Scientific American’s “Ask the Experts” column has been answering reader questions on all fields of science. We’ve taken your questions from the basic to the esoteric and reached out to top scientists, professors, and researchers to find out why the sky is blue or whether we really only use 10 percent of our brains. Now, we’ve combed through our archives and have compiled some of the most interesting questions (and answers) into a series of books.

According to Winston Churchill, Alan Turing made the single biggest contribution to the Allied victory over Nazi Germany with his code-breaking machine. The world is also indebted to Turing's genius for the modern computer. It was clear that Turing had a remarkable mind from an early age. He taught himself to read in just three weeks. At his first school, the headmistress said, "I have had clever and hardworking boys, but Alan has genius."

Learning how to use mathematics in poker can be a difficult process at the start, but we highly recommend that you keep trying, as it will help you to become a long-term winning poker player. After a while things will start to "click", and you understanding of pot odds and expected value will become a lot easier. Poker mathematics can be fun but also will be used to improve your poker game exponentially.

Não estamos preparados para lidar com o aleatório e, por isso, não percebemos o quanto o acaso interfere em nossas vidas. Num tom irreverente, citando exemplos e pesquisas presentes em todos os âmbitos da vida, do mercado financeiro aos esportes, de Hollywood à medicina, Leonard Mlodinow apresenta de forma divertida e curiosa as ferramentas necessárias para identificar os indícios do acaso. Como resultado, nos ajuda a fazer escolhas mais acertadas e a conviver melhor com fatores que não podemos controlar.

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.

In a rare attempt to understand the Indianness of Indians-among the most intelligent people in the world, but also, to a dispassionate eye, perhaps the most baffling-V. Raghunathan uses the props of game theory and behavioral economics to provide an insight into the difficult conundrum...

Do your carefully planned lessons feel unsuccessful? "I've tried everything," you think. "Shouldn't math be a little more engaging?" Ilana Seidel Horn understands your frustration. Participating in math class feels socially risky to students. Staying silent often feels safer. In Motivated, Ilana shows why certain teaching strategies create classroom climates where students want to join in.