Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    Heinlein's longest and most ambitious work, it is the story of a man so in love with Life that he refused to stop living it; and so in love with Time that he became his own ancestor.

    Set in the United States, it pictures a society in which human problems are solved by a scientific technology of human conduct.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    Barraged by the constant advisements and bickerings of Aunt Penelope and Uncle Deva, who live with their nephew in the shimmering Void, Mr g proceeds to create time, space, and matter. Then come stars, planets, animate matter, consciousness, and, finally, intelligent beings with moral dilemmas. Mr g is all powerful but not all knowing and does much of his invention by trial and error.Even the best-laid plans can go awry, and Mr g discovers that with his creation of space and time come some unforeseen consequences—especially in the form of the mysterious Belhor, a clever and devious rival. An intellectual equal to Mr g, Belhor delights in provoking him: Belhor demands an explanation for the inexplicable, requests that the newly created intelligent creatures not be subject to rational laws, and maintains the necessity of evil. As Mr g watches his favorite universe grow into maturity, he begins to understand how the act of creation can change himself, the Creator.With echoes of Calvino, Rushdie, and Saramago, combining science, theology, and moral philosophy, Mr g is a stunningly imaginative work that celebrates the tragic and joyous nature of existence on the grandest possible scale.

    It can also be maintained that it is best to provide the machine with the best sense organs that money can buy, and then teach it to understand and speak English. This process could follow the normal teaching of a child. Things would be pointed out and named, etc. Again I do not know what the right answer is, but I think both approaches should be tried."The first approach has been tried many times in both science fiction and reality. In this new novella, at over 30,000 words, his longest work to date, Ted Chiang offers a detailed imagining of how the second approach might work within the contemporary landscape of startup companies, massively-multiplayer online gaming, and open-source software. It's a story of two people and the artificial intelligences they helped create, following them for more than a decade as they deal with the upgrades and obsolescence that are inevitable in the world of software. At the same time, it's an examination of the difference between processing power and intelligence, and of what it means to have a real relationship with an artificial entity.

    He turns out to be a bird who discusses maths with anyone who will listen. So when Mr Ruche learns of his friend's mysterious death in the rainforests of Brazil he decides that with the parrot's help he will use these books to teach Max and his twin brother and sister the mysteries and wonders of numbers and shapes.But soon it becomes clear that Mr Ruche has inherited the library for reasons other than pure enlightenment, and before he knows it the household are caught up in a race to prevent the vital theorems falling into the wrong hands.Charming, fresh, with a narrative which races along, the novel takes the reader on a delightful journey through the history of mathematics.

    Campbell Memorial Award Finalist“This—THIS—is the cutting edge of science fiction.” —Richard K. Morgan, author of Altered CarbonHow do you stage a mutiny when you’re only awake one day in a million? How do you conspire when your tiny handful of potential allies changes with each job shift? How do you engage an enemy that never sleeps, that sees through your eyes and hears through your ears, and relentlessly, honestly, only wants what’s best for you? Trapped aboard the starship Eriophora, Sunday Ahzmundin is about to discover the components of any successful revolution: conspiracy, code—and unavoidable casualties.Note from the publisher: The red letters in the print edition (and highlighted letters in the e-book) indicate special bonus content from the author.

    Over the centuries, cities and governments have risen and fallen beyond the concent's walls. Three times during history's darkest epochs violence born of superstition and ignorance has invaded and devastated the cloistered mathic community. Yet the avout have always managed to adapt in the wake of catastrophe, becoming out of necessity even more austere and less dependent on technology and material things. And Erasmas has no fear of the outside—the Extramuros—for the last of the terrible times was long, long ago.Now, in celebration of the week-long, once-in-a-decade rite of Apert, the fraas and suurs prepare to venture beyond the concent's gates—at the same time opening them wide to welcome the curious "extras" in. During his first Apert as a fraa, Erasmas eagerly anticipates reconnecting with the landmarks and family he hasn't seen since he was "collected." But before the week is out, both the existence he abandoned and the one he embraced will stand poised on the brink of cataclysmic change.Powerful unforeseen forces jeopardize the peaceful stability of mathic life and the established ennui of the Extramuros—a threat that only an unsteady alliance of saecular and avout can oppose—as, one by one, Erasmas and his colleagues, teachers, and friends are summoned forth from the safety of the concent in hopes of warding off global disaster. Suddenly burdened with a staggering responsibility, Erasmas finds himself a major player in a drama that will determine the future of his world—as he sets out on an extraordinary odyssey that will carry him to the most dangerous, inhospitable corners of the planet . . . and beyond.

    From verbalizing chimpanzees to scientific speculations involving machines with souls, from the mesmerizing, maze-like fiction of Borges to the tantalizing, dreamlike fiction of Lem and Princess Ineffable, her circuits glowing read and gold, The Mind's I opens the mind to the Black Box of fantasy, to the windfalls of reflection, to new dimensions of exciting possibilities."Ever since David Hume declared in the 18th century that the Self is only a heap of perceptions, the poor Ego has been in a shaky conditions indeed...Mind and consciousness becomes dispensable items in our accounts of reality, ghosts in the bodily machine...Yet there are indications here and there that the tide may be tuming...and the appearance of The Mind's I, edited by Douglas R. Hofstadter and Daniel C. Dennett, seems a welcome sign of change." William Barrett, The New York Times Book Review

    He provides readers with non-trivial insights into research fields they may not have encountered previously . . . I think everyone who has ever considered the possibility that other intelligent civilizations exist elsewhere within our galaxy will enjoy Where Is Everybody? They will find much to agree with, and much to argue about, in this very accessible volume.� �SCIENCE During a Los Alamos lunchtime conversation that took place more than 50 years ago, four world-class scientists agreed, given the size and age of the Universe, that advanced extraterrestrial civilizations simply had to exist. The sheer numbers demanded it. But one of the four, the renowned physicist and back-of-the-envelope calculator Enrico Fermi, asked the telling question: If the extraterrestrial life proposition is true, he wondered, "Where IS everybody?" In this lively and thought-provoking book, Stephen Webb presents a detailed discussion of the 50 most cogent and intriguing answers to Fermi's famous question, divided into three distinct groups: - Aliens are already here among us. Here are answers ranging from Leo Szilard's suggestion that they are already here, and we know them as Hungarians, to the theorists who claim that aliens built Stonehenge and the Easter Island statues. - Aliens exist, but have not yet communicated. The theories in this camp range widely, from those who believe we simply don't have the technologies to receive their signals, to those who believe the enormities of space and time work against communication, to those who believe they're hiding from us. - Aliens do not exist. Here are the doubters' arguments, from the Rare Earth theory to the author's own closely argued and cogently stated skepticism. The proposed solutions run the gamut from the crackpot to the highly serious, but all deserve our consideration. The varieties of arguments -- from first-rate scientists, philosophers and historians, and science fiction authors -- turn out to be astonishing, entertaining, and vigorous intellectual exercises for any reader interested in science and the sheer pleasure of speculative thinking. Stephen Webb is a physicist working at the Open University in England and the author of Measuring the Universe.

    Fearing his son will never know his father, Dave pens a gripping text--part memoir, part deranged philosophical treatise, and part handbook of "the Knowledge" learned by all London cab drivers. Meant for the boy when he comes of age, the book captures the frustration and anxiety of modern life. Five hundred years later, the Book of Dave is discovered by the inhabitants on the island of Ham, where it becomes a sacred text of biblical proportion, and its author is revered as a mighty prophet.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.