Mathematics

A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligence Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumour is cancerous, or deciding whether...

This audiobook is about luck, or more precisely, how we perceive and deal with luck in life and business....

The legendary bestseller that encouraged millions of readers to look at the hidden side of everything Which is more dangerous: a gun or a swimming pool? Why do drug dealers still live with their moms? What do real estate agents and the KKK have in common? These may not sound like typical...

Game theory means rigorous strategic thinking. It’s the art of anticipating your opponent’s next moves, knowing full well that your rival is trying to do the same thing to you....

A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the...

Factfulness: The stress-reducing habit of carrying only opinions for which you have strong supporting facts....

The Instant New York Times Bestseller | With a New Preface from Nate Silver for 2025 New York Times Book Review Paperback Row selection “Engaging and entertaining . . . a glimpse of the economy of the future.” —Tim Wu, New York Times Book Review From the New York Times bestselling author...

A theoretical physicist takes listeners on an awe-inspiring journey-found in "no other book" (Science)—to discover how the universe generates everything from nothing at all.

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom....

INSTANT NEW YORK TIMES BESTSELLER “Provocative but perceptive . . . You can agree or disagree with Smil—accept or doubt his ‘just the facts’ posture—but you probably shouldn’t ignore him.”—The Washington Post An essential analysis of the modern science and technology that makes...

**Read by Author Kirk Goldsberry** The bestselling author of Sprawlball, Kirk Goldsberry returns with a visual feast of a book—equal parts Book of Basketball and Shea Serrano—that uses sharp writing, his signature graphics, and cutting-edge statistical analyses to unpack how a handful of NBA...

Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy"....

NEW YORK TIMES BESTSELLER The groundbreaking exploration of probability and uncertainty that explains how to make better predictions in a world drowning in data, from the nation’s foremost political forecaster—updated with insights into the pandemic, journalism today, and polling One of...

The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us...

Learn how to think like a physicist from a Nobel laureate and "one of the greatest minds of the twentieth century" (New York Review of Books) with these six classic and beloved lessons It was Richard Feynman's outrageous and scintillating method of teaching that earned him legendary status among...

In this "important and comprehensive" (New Yorker) guide to statistical thinking, discover how you can use data and mathematics to gain a better understanding of life’s biggest problems. The age of big data has made statistical literacy more important than ever. In The Art of Statistics, David...

A groundbreaking mathematician presents a new model for understanding financial markets. Benoit B. Mandelbrot, one of the century's most influential mathematicians, is world-famous for making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never...

"This is science writing as wonder and as inspiration." —The Wall Street Journal Wall Street Journal From one of the most influential scientists of our time, a dazzling exploration of the hidden laws that govern the life cycle of everything from plants and animals to the cities we live in...

There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: It underlies a reproducibility crisis now threatening entire disciplines....

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable...

In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight....

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...

One of the world’s most creative mathematicians offers a new way to look at math—focusing on questions, not answers.

Hello World takes us on a tour through the good, the bad, and the downright ugly of the algorithms that surround us on a daily basis. Mathematician Hannah Fry reveals their inner workings, showing us how algorithms are written and implemented, and more....

In Zero, science journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics....

The Mathematics of Music Explained: Rhythm, Harmony, Tuning Systems, Wave Frequencies, Acoustics, and the Hidden Structure of Sound reveals the powerful numerical framework beneath every melody, chord, and beat. From vibrating strings to digital streaming platforms, music is built on ratios, frequencies, logarithms, and patterns. This book uncovers how rhythm reflects mathematical subdivisions of time, how harmony emerges from frequency ratios, and how tuning systems balance pure intervals with practical flexibility. Whether you are a musician, composer, student, audio engineer, or lifelong...

Unlock the secrets of the universe with "Probability in Nature," a fascinating journey into the world of chance and uncertainty. This eBook takes you on an enlightening exploration of how probability shapes not only the natural world but also the very fabric of our existence. Begin with an introduction that lays the foundation of probability, chance, and uncertainty, and provides a captivating historical perspective on the role of probability in science. Dive into the role of probability in everyday life, uncovering the mathematics behind coincidences, the randomness in natural phenomena, ...

Machine Learning with Python — A Practical Guide for Beginners & Developers Want to break into Machine Learning and AI using Python, but don’t know where to start? Machine Learning with Python (2026 Edition) is a complete, beginner-friendly guide that takes you from understanding basic concepts to building real-world machine learning systems using modern tools and frameworks. This book is designed to help you learn step-by-step, without overwhelming theory or unnecessary complexity. Machine learning is transforming industries — from recommendation systems and fraud detection to self-...

Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the “dumb” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like “Why does 1 + 1 = 2?” are at the very heart of the search for mathematical truth.

LIST OF CHAPTERS: Introduction About this Book About the Author Part I: An Overview of Anthropic Claude: 1.1 Introduction To Anthropic Claude 1.2 The Foundation Of Anthropic Claude 1.3 Features Of Anthropic Claude 1.4 How To Use Anthropic Claude 1.5 Applications Of Anthropic Claude 1.6 Comparisons With Other AI Models 1.7 Ethical Considerations 1.8 The Future Of Anthropic Claude 1.9 Community And Support 1.10 Conclusion Part II: 101 Questions and Answers Part III: Glossary of 50 Terms Part IV: 100 Do’s and 50 Don’ts: 4.1 100 Do’s 4.2 50 Don’ts

What can a simple sequence of numbers reveal about the world? The Fibonacci sequence—1, 1, 2, 3, 5, 8, 13…—first appeared in 1202 when Leonardo of Pisa included a rabbit population puzzle in his book Liber Abaci. Over the centuries, mathematicians discovered that this elegant sequence connects to some of the most fascinating patterns in mathematics, nature, and modern technology. Fibonacci and the Science of Growth: A Guide to Mathematical Patterns in Nature, Technology, and Complex Systems explores how a simple rule—adding the two previous numbers—can generate rich and surprising...

I saggi di questo volume, che toccano la politica, la religione, la letteratura, la filosofia, la matematica e la scienza, sono raccolti in sezioni che si aprono con interviste immaginarie a personaggi del passato (Hitler, Gesù, Dante, Aristotele, Archimede, Newton) e si chiudono con interviste reali a quelli del presente (Chomsky, il Dalai Lama, Saramago, Kripke, Nash e Watson). Nel mezzo, il matematico impertinente dispiega l'arsenale della ragione per argomentare che non è affatto vero che non possiamo non dirci cristiani, o che siamo tutti americani.

Why does mathematics—a creation of the human mind—describe the physical world with such extraordinary precision? Why do equations invented for one purpose turn out, decades or centuries later, to be the perfect language for a completely different realm of nature? In 1960, the Nobel laureate Eugene Wigner called this correspondence a 'gift we neither understand nor deserve.' The question has haunted science ever since. In this book, Boris Kriger proposes an answer that is at once simple and profound: mathematics describes the world because only the mathematically structured survives.

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.

The Fibonacci Sequence Explained: Spirals in Nature, Sunflowers, Pinecones, Hurricanes, Seashells, and Classical Architecture Revealed Through Mathematical Growth Patterns explores one of the most fascinating connections between mathematics and the natural world. From the seed patterns of sunflowers to the spiral arms of galaxies, this book reveals how a simple numerical rule creates stunning forms that appear across biology, art, architecture, and design. Written in clear and engaging language, it shows how recursive growth leads to the golden ratio and how that ratio shapes the world ...

What if the numbers guiding your biggest decisions were never meant for you? From weather forecasts to medical risks, investment advice to AI predictions, probability surrounds modern life—offering the appearance of certainty in an uncertain world. Yet most people don’t realize: probability is a powerful tool, but only under the right conditions. Misapplied, it doesn’t just fail—it misleads. This book reveals the hidden structure behind when probability works, when it doesn’t, and why it so often feels precise but proves personally wrong.

What if the "wisdom of the ages" isn't poetry, but fossilized data? In Foundations of Intellectual Substrate Mining, Boris Kriger shatters the boundary between the humanities and hard systems science. He proposes that our cultural heritage—proverbs, maxims, and ancient doctrines—is actually a high-density Intellectual Substrate: a record of formal laws tested by reality over millennia and compressed into "lossy" linguistic forms. Stop interpreting. Start mining.

Exponential Growth and Viral Spread Explained: Compound Interest, Population Dynamics, Pandemic Modeling, Network Effects, and Social Media Virality in a Hyperconnected World Why do retirement accounts suddenly surge after decades of steady saving? Why do pandemics explode from a handful of cases into global crises? Why can a single social media post reach millions overnight? The answer lies in one powerful mathematical force: exponential growth. Exponential Growth and Viral Spread Explained reveals how compounding, feedback loops, and network effects shape finance, technology, culture, and...

The Mathematics of Patterns and Tessellations Explained: Geometry of Tiles, Symmetry Groups, Quilting Designs, Wallpaper Patterns, and Islamic Geometric Art in Mathematical Practice is a deep exploration of the hidden mathematical structure behind the surfaces that surround us. From tiled floors and quilt blocks to wallpaper design and sacred geometric art, this book reveals how angles, polygons, symmetry transformations, and combinatorics shape the patterns we see every day. If you have ever wondered why certain shapes fit together perfectly while others leave gaps, this comprehensive ...

In a world racing toward superintelligence, we keep returning to a stubborn question: can a machine think, or can it only imitate thought? This short philosophical book mounts a critical, academically grounded case that the standard refusal is often a definition in disguise: we quietly equate “thinking” with thinking exactly like neurotypical humans, then declare machines disqualified by design. Reopening the debate from Turing’s challenge onward, the book confronts the sharpest objections—especially the Chinese Room, and tests them against what modern cognitive science and machine ...