Mostrando títulos en Matemáticas

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.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them. But number theory has also recently become of great practical importance.

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.

What do people do when they count? What do numbers really mean? We all know that people can lie with statistics, but in this groundbreaking work, eminent political scientist Deborah Stone uncovers a much deeper problem. With help from Dr. Seuss and Cookie Monster, she explains why numbers can't be objective: in order to count, one must first decide what counts. Every number is the ending to a story built on cultural assumptions, social conventions, and personal judgments.

Are there universal laws of life and can we find them? Is there a physics of society, of ecology, of evolution? Join us for six episodes of thought-provoking insights on the physics of life and its profound implications on our understanding of the universe. In this season of the Santa Fe Institute’s Complexity podcast’s relaunch, we talk to researchers who have been exploring these questions and more through the lens of complexity science. Subscribe now and be part of the exploration!

For decades, statisticians, social scientists, psychologists, and economists (among them Nobel Prize winners) have spent massive amounts of precious time thinking about whether streaks actually exist. After all, a substantial number of decisions that we make in our everyday lives are quietly rooted in this one question: If something happened before, will it happen again? Is there such a thing as being in the zone? Can someone have a "hot hand"? Or is it simply a case of seeing patterns in randomness? Or, if streaks are possible, where can they be found?

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.

Beginning with three introductory episodes, this specially curated collection explores 25 of the most important individuals, ideas and discoveries that have transformed our understanding of mathematics over the past 5,000 years. We learn how Indian mathematics provided the foundations for much of our modern thinking, discover why Euclid's Elements is the most influential textbook ever written and hear of the epic feud between Sir Isaac Newton and Gottfried Leibniz over who invented calculus.

The American standard system of measurement is a unique and odd thing to behold with its esoteric, inconsistent standards: 12 inches in a foot, three feet in a yard, 16 ounces in a pound, 100 pennies to the dollar. For something as elemental as counting and estimating the world around us, it seems like a confusing tool to use. So how did we end up with it? Most of the rest of the world is on the metric system, and for a time in the 1970s America appeared ready to make the switch.

In 1202, a 32-year-old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the 7th and 8th centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.

In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do.

In recent years, the intersection of quantum computing and machine learning has emerged as a transformative area of research, offering new perspectives and capabilities that were previously unattainable with classical approaches. Among the various quantum algorithms under exploration, Quantum Principal Component Analysis (QPCA) stands out as a significant advancement, combining the principles of quantum mechanics with the powerful data analysis techniques of principal component analysis (PCA). This book, "Quantum Principal Component AnalysisTheory, Implementation, and Applications," is ...

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.

Dark Data explores the many ways in which we can be blind to missing data and how that can lead us to conclusions and actions that are mistaken, dangerous, or even disastrous. Examining a wealth of real-life examples, from the Challenger shuttle explosion to complex financial frauds, Hand gives us a practical taxonomy of the types of dark data that exist and the situations in which they can arise, so that we can learn to recognize and control for them.

Statistics is used in almost every field and industry imaginable. From healthcare to finance to marketing, statistics are used to make important decisions, identify patterns and trends, and predict future outcomes. Without a basic understanding of statistics, it's easy to be left behind and taken advantage of.

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health? Thinking about thinking is something we rarely do, yet it is something science questions all the time. David Sumpter has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result. Here he reveals the four easily applied approaches to our problems: statistical, interactive, chaotic and complex.

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

Will you pay more for a $19.99 shirt with a 20 percent discount or a $24.99 shirt with a 30 percent discount? The truth is, most of the math you find yourself doing on a day to day basis it's usually done in your head, that's why improving your mental math skills is always useful. If you’ve grown up hating math, that’s probably because you’ve been taught with the wrong approach. Math can help you calculate a discount on the fly, easily multiply big numbers, or quickly figure out how much dough packs you’ll need to make 50 cookies if one pack will be enough for 20.

Stop making bad decisions because of misunderstood numbers. Learn the math essentials that give you the clarity you've missed. Your future is a sum of your decisions. Transform your life's trajectory—one calculation at a time. From budgets to big dreams, unlock the math standing between you and the life you want to lead.

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.