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.

A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

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.

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."

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."

This history of Portland's bridges includes all the bridges on the Willamette River from the St. Johns to Oregon City, plus three bridges on the Columbia.

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.

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.