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Genius At Play
Winner of the 2017 JPBM Communications Award for Expository and Popular Books. “A delightful meta-biography--playful indeed--of a brilliant iconoclast.” --James Gleick, author of The Information John Horton Conway is a singular mathematician with a lovely loopy brain. He is Archimedes, Mick Jagger, Salvador Dali, and Richard Feynman all rolled into one--he boasts a rock star’s charisma, a slyly bent sense of humor, a polymath’s promiscuous curiosity, and an insatiable compulsion to explain everything about the world to everyone in it. At Cambridge, Conway wrestled with "Monstrous Moonshine," discovered the aptly named surreal numbers, and invented the cult classic Game of Life--more ...
On Numbers and Games
ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but
A First Course in Analysis
This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.
The Symmetries of Things
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Surreal Numbers
Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gr...
Art of the Flight Jacket
Following the success of their first volume American Flight Jackets, Airmen & Aircraft: A History of U.S. Flyers Jackets from World War I to Desert Storm, Jon Maguire and John Conway focus solely on the painted leather jackets of the World War II years in this all new volume.
The Sensual (quadratic) Form
John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.
A Course in Functional Analysis
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS
The Nazi Persecution of the Churches, 1933-1945
Conway presents a landmark text on the history of German churches during the Nazi era.
Broken but Beautiful
American church participation has plummeted in recent decades. Abuse scandals and hypocrisy hang in the air. Weekly, I talk to friends and neighbors who have left church, even as many still identify as Christians. I get what they're saying. When I consider the pain that so many have experienced in church life, the body of Christ sure seems broken. It's no wonder many don't find church to be worth it. But maybe there's more to the story. As a child, my family experienced deep crisis. I felt alone and vulnerable. Into that void, the church stepped in. I discovered a family, a people that have my back and forever changed my life. Even now, I see tangible ways the church works for the common good. The church possesses a resilient beauty that continually pushes through the brokenness. If we love Jesus, we have to eventually ask what Jesus loves. Surprising to me at times, Jesus loves the church, despite her brokenness. If we learn to see what Jesus sees, we'll discover a powerful, often untapped means towards human flourishing. No other social group offers what the church offers. Yes, the church is broken, but there's more. She's beautiful.
