Showing titles in Mathematics

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.

ChatGPT has captivated the public imagination as a digital conversationalist—able to discuss philosophy, crack jokes, write poems, and explain quantum physics on demand. But to stop at conversation is to miss its deeper value. This revolutionary technology is not just a chatbot—it’s a multifunctional tool that can supercharge productivity, creativity, learning, and innovation across countless domains.

A bite-sized mathematical sightseeing tour of the natural world from the author of The Magical Maze. Why do many flowers have five or eight petals, but very few six or seven? Why do snowflakes have sixfold symmetry? Why do tigers have stripes but leopards have spots? Mathematics is to nature as Sherlock Holmes is to evidence. Mathematics can look at a single snowflake and deduce the atomic geometry of its crystals; it can start with a violin string and uncover the existence of radio waves.

Does the universe embody beautiful ideas? Artists as well as scientists throughout human history have pondered this “beautiful question.” With Nobel laureate Frank Wilczek as your guide, embark on a voyage of related discoveries, from Plato and Pythagoras up to the present. Wilczek’s...

Simple, concise, and radical, Being Human outlines the Entheological Paradigm, a Grand Unified Theory of reality that accounts for not only all of the physical world, but personal consciousness, life, and God as well. This guide explains the nature of God as a fractal energy being and how this one being works to create all of physical reality and is also embodied in all living beings through the process of evolution. To be human is to be God in a body.

Science and maths have never been the preserve of lone geniuses: collaboration has always been at the heart of intellectual endeavour. But to this day, men like Einstein remain the pervasive archetype of genius and the intellectual contributions of women past and present have gone unacknowledged. x+y is one mathematician's manifesto for how we can fix that - and why that requires rethinking how we think about thinking itself.

Michael Kearns and Aaron Roth explain how we can better embed human principles into machine code - without halting the advance of data-driven scientific exploration. 

In this Very Short Introduction, William Lowrie describes the internal and external processes that affect the planet, as well as the principles and methods of geophysics used to investigate them. From analyses of Earth's deepest interior to measurements made from Earth-orbiting satellites, Lowrie shows how geophysical exploration is vitally important in the search for mineral resources and emphasizes our need to understand the history of our planet and the processes that govern its continuing evolution. 

The world is constantly changing and evolving. Transportation was revolutionized by cars and planes; however, machine learning will revolutionize the world in which we live from simple day-to-day tasks to even the most complex endeavors. You will learn the fundamentals of machine learning from algorithms, Python, and supervised and unsupervised learning. You will also learn about the real world applications, implications, and theories of Markov models.

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.

Brought to you by Penguin. How should a democracy choose its representatives? How does disease spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these...

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.

This is the book that Daniel Tammet, best-selling author and mathematical savant, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes and everyday examples, Tammet allows us to share his unique insights and delight in the way numbers, fractions and equations underpin all our lives.

Discover the secrets to mastering the mental game of poker, learn how to crush your opponents, and play poker like the top 1%! Have you always wanted to learn how to completely dominate any poker game, but didn't know where to begin? Are you sick of being the "sucker" at the poker table? Are you tired of the overwhelming sense of defeat that comes with being outsmarted again and again? If yes, then you've come to the right place!

Once you know how to see them, numbers are all around us - buried in the dimensions of buildings and encoding the data on our favourite gadgets. They’re a beautiful system of patterns and codes but also an essential tool that can guide our daily decisions, change our behaviour and even predict the future - if we can just learn how to use them right.

An electrifying biography of one of the most extraordinary scientists of the twentieth century and the world he made. The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear...

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.

From popular math blogger and author of the underground bestseller Math With Bad Drawings, Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only...

Size is the most fundamental structural variable of the universe. Neither bacteria nor empires are immune to its laws. Measuring it is challenging, especially where complex systems like economies are concerned, yet mastering it offers rich rewards. Grounded in history and drawing on the latest science, with much recourse to art and classic literature, Size explains the regularities—and peculiarities—of the key processes shaping life, the Earth, technical advances and societies and economies.

Starting with hands, abacus, and slide rule, humans have always reached for tools to simplify math. Pocket-sized calculators ushered in modern mathematics, helped build the atomic bomb, took us to the bottom of the ocean, and accompanied us to the moon. The pocket calculator changed our world, until it was supplanted by more modern devices that, in a cruel twist of irony, it helped to create. Keith Houston transports listeners from the nascent economies of the ancient world to World War II, and into the technological arms race that led to the first affordable electronic pocket calculators.