Showing titles in Mathematics

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 aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

Math Lab is the podcast where we delve into intriguing math and logic puzzles. Every episode, we introduce a new puzzle and then solve the puzzle from the previous episode. Many of the puzzles we solve together are linked to deeper mathematical and logic principles that will help you expand your daily thinking and problem-solving creativity.

Why does your weather app say “there’s a 10 percent chance of rain” instead of “it will be sunny”? In large part, this is due to the insight of award-winning physicist Tim Palmer, who pioneered the introduction of uncertainty into weather and climate prediction. Now, he wants to apply it to how we study everything else.

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.

Work with data like a pro using this guide that breaks down how to organize, apply, and most importantly, understand what you are analyzing in order to become a true data ninja. From the stock market to genomics laboratories, census figures to marketing email blasts, we are awash with data. But...

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.

For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here, Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.

Ihr interessiert euch für die Welt der Wissenschaft – und wollt Euch über die wichtigen Dinge informieren, die diese Welt umtreiben? Ihr legt Wert auf hochqualifiziertes Wissen – und wünscht Euch eine spannende Aufbereitung? Dann seid Ihr hier genau richtig: Willkommen in der faszinierenden Podcast-Welt der Medizin, der Wirtschaft, der Mathematik und der Natur- und Geisteswissenschaften. Alle zwei Wochen neu!

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.

An accessible, light-hearted exploration into game theory. Haim Shapira describes what it is, why it is important, and how it can help us in our daily lives. This audiobook provides many humorous anecdotes and insightful examples of how our daily lives are affected by game theory. Game theory is the mathematical formalization of interactive decision-making - it assumes that each player's goal is to maximize his/her benefit, whatever it may be. Players may be friends, foes, political parties, states, or any entity that behaves interactively, whether collectively or individually.

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?

A sweeping inquiry into how the night sky has shaped human history For as long as humans have lived, we have lived beneath the stars. But under the glow of today’s artificial lighting, we have lost the intimacy our ancestors once shared with the cosmos. In Starborn, cosmologist Roberto Trotta...

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

‘Fascinating … so enlightening that suddenly maths doesn’t seem so fearsome as it once did’ SIMON WINCHESTER 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...

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.

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.

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.

Nathaniel Tilton was leading an ordinary existence in his early30s as a financial advisor in Boston. Then, without a destination in mind, he set out to experience life in more meaningful ways. His path was forged when he met famed MIT blackjack team member Semyon Dukach, who inspired Nathaniel to become a world-class blackjack player.