Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

The last time Jess saw her father, she was a boy. Now she’s a high school graduate, soon to be on her way to art school. But first she has some unfinished business with her dad. So she’s driving halfway across the country to his wedding. He happens to be marrying her mom’s ex-best friend. It’s not like Jess wasn’t invited; she was. She just never told anyone she was coming. Surprise! Luckily, Jess isn’t making this trip alone. Her best friend, Christophe—nicknamed Chunk—is joining her. Along the way, Jess and Chunk learn a few things about themselves—and each other—which call their feelings about their relationship into question.

Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.

ONE GIANT LEAP FOR MANKIND Those were Neil Armstrong’s immortal words when he became the first human being to step onto another world. All at once, the horizon expanded; the human race was no longer Earthbound. Edge of Infinity is an exhilarating new SF anthology that looks at the next giant leap for humankind: the leap from our home world out into the Solar System. From the eerie transformations in Pat Cadigan’s Hugo-award-winning “The Girl-Thing Who Went Out for Sushi” to the frontier spirit of Sandra McDonald and Stephen D. Covey’s “The Road to NPS,” and from the grandiose vision of Alastair Reynolds’ “Vainglory” to the workaday familiarity of Kristine Kathryn Rusch’s “Safety Tests,” the thirteen stories in this anthology span the whole of the human condition in their race to colonise Earth’s nearest neighbours. Featuring stories by Hannu Rajaniemi, Alastair Reynolds, James S. A. Corey, John Barnes, Stephen Baxter, Kristine Kathryn Rusch, Elizabeth Bear, Pat Cadigan, Gwyneth Jones, Paul McAuley, Sandra McDonald, Stephen D. Covey, An Owomoyela, and Bruce Sterling, Edge of Infinity is hard SF adventure at its best and most exhilarating.

When Nazi forces occupy the beautiful coastal city of Yalta, Crimea, everything changes. Eighteen-year-old Filip has few options; he is a prime candidate for forced labor in Germany. His hurried marriage to his childhood friend Galina might grant him reprieve, but the rules keep shifting. Galina’s parents, branded as traitors for innocently doing business with the enemy, decide to volunteer in hopes of better placement. The work turns out to be horrific, but at least the family stays together. By winter 1945, Allied air raids destroy strategic sites; Dresden, a city of no military consequence, seems safe. The world knows Dresden’s fate. Roads is the story of one family lucky enough to escape with their lives as the city burns behind them. But as the war ends, they are separated and their trials continue. Looking for safety in an alien land, they move toward one another with the help of refugee networks and pure chance. Along the way, they find new ways to live in a changed world—new meanings for fidelity, grief, and love.

This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress: - Irrational and Imaginary Numbers - The Fourth Dimension - Curved Space - Infinity and others The author puts t

**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

When childhood friends Ryan and Myra meet after years, they realize how disillusioned and unhappy they are. Career slumps and burnouts compounded by unresolved internal conflicts had taken a toll. An epiphany urges them to make an impromptu trip to Norway on a shoestring budget, something which was on Myra’s bucket-list since she was a teenager. Together they undertake a journey that is initially fraught with emotional upheavals. Slowly, they shed their emotional baggage and discuss some of life’s big questions while rediscovering their own special bond. In the quest of finding meaning, the conundrum arises when Ryan and Myra must decide what ‘happily ever after’ means to them and whether they will have one…

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."