Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace


Leonard Mlodinow - 2001
    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

The Foundation Trilogy


Isaac Asimov - 1953
    As the Old Empire crumbles into barbarism throughout the million worlds of the galaxy, Hari Seldon and his band of psychologists must create a new entity, the Foundation-dedicated to art, science, and technology-as the beginning of a new empire. FOUNDATION AND EMPIRE describes the mighty struggle for power amid the chaos of the stars in which man stands at the threshold of a new enlightened life which could easily be destroyed by the old forces of barbarism. SECOND FOUNDATION follows the Seldon Plan after the First Empire's defeat and describes its greatest threat-a dangerous mutant strain gone wild, which produces a mind capable of bending men's wills, directing their thoughts, reshaping their desires, and destroying the universe.

Alice in Quantumland: An Allegory of Quantum Physics


Robert Gilmore - 1994
    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

Incompleteness: The Proof and Paradox of Kurt Gödel


Rebecca Goldstein - 2005
    "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe


John D. Barrow - 2000
    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

A History of Mathematics


Carl B. Boyer - 1968
    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

Dreams of a Final Theory: The Scientist's Search for the Ultimate Laws of Nature


Steven Weinberg - 1992
    Writing with dazzling elegance and clarity, he retraces the steps that have led modern scientists from relativity and quantum mechanics to the notion of superstrings and the idea that our universe may coexist with others.But Weinberg asks as many questions as he answers, among them: Why does each explanation of the way nature works point to the other, deeper explanations? Why are the best theories not only logical but beautiful? And what implications will a final theory have for our philosophy and religious faith?Intellectually daring, rich in anecdote and aphorism, Dreams of a Final Theory launches us into a new cosmos and helps us make sense of what we find there.“This splendid book is as good reading about physics and physicists as this reviewer can name…clear, honest, and brilliantly instructive.”—Philip Morrison, Scientific American

George's Secret Key to the Universe


Lucy Hawking - 2007
    George's parents, who have always been wary of technology, warn him about their new neighbors: Eric is a scientist and his daughter, Annie, seems to be following in his footsteps. But when George befriends them and Cosmos, their super-computer, he finds himself on a wildly fun adventure, while learning about physics, time, and the universe. With Cosmos's help, he can travel to other planets and a black hole. But what would happen if the wrong people got their hands on Cosmos? George, Annie, and Eric aren't about to find out, and what ensues is a funny adventure that clearly explains the mysteries of science. Garry Parsons' energetic illustrations add humor and interest, and his scientific drawings add clarity; there are also eight 4-page full-color inserts of scientific photos.

Calculus Made Easy


Silvanus Phillips Thompson - 1910
    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

George Orwell Omnibus: The Complete Novels: Animal Farm, Burmese Days, A Clergyman's Daughter, Coming up for Air, Keep the Aspidistra Flying, and Nineteen Eighty-Four


George Orwell - 1949
    The complete novels of George Orwell in a single tome - a can't miss for fans and those new to Orwell alike!

Sphereland: A Fantasy about Curved Spaces and an Expanding Universe


Dionijs Burger Jr. - 1965
    A short Science Fiction novel by a distinguished Dutch mathematician which entertains and instructs in the multi-dimensional geometries of curved space and the expanding universe.

Terminal World


Alastair Reynolds - 2009
    Clinging to its skin are the zones, a series of semi-autonomous city-states, each of which enjoys a different—and rigidly enforced—level of technology. Horsetown is pre-industrial; in Neon Heights they have television and electric trains . . .Following an infiltration mission that went tragically wrong, Quillon has been living incognito, working as a pathologist in the district morgue. But when a near-dead angel drops onto his dissecting table, Quillon's world is wrenched apart one more time, for the angel is a winged posthuman from Spearpoint's Celestial Levels—and with the dying body comes bad news.If Quillon is to save his life, he must leave his home and journey into the cold and hostile lands beyond Spearpoint's base, starting an exile that will take him further than he could ever imagine. But there is far more at stake than just Quillon's own survival, for the limiting technologies of the zones are determined not by governments or police, but by the very nature of reality—and reality itself is showing worrying signs of instability . . .Terminal World is a snarling, drooling, crazy-eyed mongrel of a book: equal parts steampunk, western, planetary romance, and far-future SF.

Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century


Masha Gessen - 2009
    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

The Penultimate Truth


Philip K. Dick - 1964
    For fifteen years, subterranean humanity has been fed on daily broadcasts of a never-ending nuclear destruction, sustained by a belief in the all powerful Protector. But up on Earth's surface, a different kind of reality reigns. East and West are at peace. Across the planet, an elite corps of expert hoaxers preserve the lie.Cover Illustration: Chris Moore

How to Live Safely in a Science Fictional Universe


Charles Yu - 2010
    . . through quantum space–time.  Minor Universe 31 is a vast story-space on the outskirts of fiction, where paradox fluctuates like the stock market, lonely sexbots beckon failed protagonists, and time travel is serious business. Every day, people get into time machines and try to do the one thing they should never do: change the past. That’s where Charles Yu, time travel technician—part counselor, part gadget repair man—steps in. He helps save people from themselves. Literally. When he’s not taking client calls or consoling his boss, Phil, who could really use an upgrade, Yu visits his mother (stuck in a one-hour cycle of time, she makes dinner over and over and over) and searches for his father, who invented time travel and then vanished. Accompanied by TAMMY, an operating system with low self-esteem, and Ed, a nonexistent but ontologically valid dog, Yu sets out, and back, and beyond, in order to find the one day where he and his father can meet in memory. He learns that the key may be found in a book he got from his future self. It’s called How to Live Safely in a Science Fictional Universe, and he’s the author. And somewhere inside it is the information that could help him—in fact it may even save his life.