This book is an endlessly fascinating journey through a mathematician's looking glass.

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

This new edition replaces both The Pursuit of Holiness (ISBN 9781576839324) and the study guide (ISBN 9781576839881) by combining both resources into one volume "Be holy, for I am holy," commands God. But holiness is something that is often missed in the Christian's daily life. According to Navigator author Jerry Bridges, that's because we're not exactly sure what our part in holiness is. In The Pursuit of Holiness, he helps us see clearly just what we should rely on God to do--and what we should take responsibility for ourselves. As you deepen your relationship with God, learn more about His character, and understand the Holy Spirit's role in holiness, your spiritual growth will mature. The included study guide contains 12 lessons.

The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."

When two unlikely allies become two unwitting outlaws, will two unforgettable lovers defy unbeatable odds? Bonnie Rae Shelby is a superstar. She's rich. She's beautiful. She's impossibly famous. And Bonnie Rae Shelby wants to die. Finn Clyde is a nobody. He's broken. He's brilliant. He's impossibly cynical. And all he wants is a chance at life. One girl. One boy. An act of compassion. A bizarre set of circumstances. And a choice - turn your head and walk away, or reach out your hand and risk it all? With that choice, the clock starts ticking on a man with a past and a girl who can't face the future, counting down the seconds in an adventure riddled with heartbreak and humor, misunderstanding and revelation. With the world against them, two very different people take a journey that will not only change their lives, but may cost them their lives as well. Infinity + One is a tale of shooting stars and fame and fortune, of gilded cages and iron bars, of finding a friend behind a stranger's face, and discovering love in the oddest of places.

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."