Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    It is without question Schopenhauer's greatest work. Conceived and published before the philosopher was 30 and expanded 25 years later, it is the summation of a lifetime of thought.For 70 years, the only unabridged English translation of this work was the Haldane-Kemp collaboration. In 1958, a new translation by E. F. J. Payne appeared that decisively supplanted the older one. Payne's translation is superior because it corrects nearly 1,000 errors and omissions in the Haldane-Kemp translation, and it is based on the definitive 1937 German edition of Schopenhauer's work prepared by Dr. Arthur Hübscher. Payne's edition is the first to translate into English the text's many quotations in half a dozen languages. It is thus the most useful edition for the student or teacher.

    He is best known for his book Walden. He was deeply interested in the idea of survival in the face of hostile elements, historical change, and natural decay. He was a strong abolitionist and his belief in a philosophy of civil disobedience influenced the political thoughts and actions of such later figures as Leo Tolstoy, Mahatma Gandhi, and Martin Luther King, Jr. First published in "The Atlantic Monthly" in 1862, Thoreau's essay begins with a history of the apple tree, and ends with a meditation on parallels between the wild apple and humanity.

    Celebrating the creative side of failure in a way we can all relate to, F in Exams gathers the most hilarious and inventive test answers provided by students who, faced with a question they have no hope of getting right, decide to have a little fun instead. Whether in science (Q: What is the highest frequency noise that a human can register? A: Mariah Carey), the humanities (Q: What did Mahatma Gandhi and Genghis Khan have in common? A: Unusual names), math, or other subjects, these 250 entries prove that while everyone enjoys the spectacle of failure, it's even sweeter to see a FAIL turn into a WIN.

    The meeting -- which lasted ten minutes -- did not go well. Their loud and aggressive confrontation became the stuff of instant legend, but precisely what happened during that brief confrontation remained for decades the subject of intense disagreement.An engaging mix of philosophy, history, biography, and literary detection, Wittgenstein's Poker explores, through the Popper/Wittgenstein confrontation, the history of philosophy in the twentieth century. It evokes the tumult of fin-de-siécle Vienna, Wittgentein's and Popper's birthplace; the tragedy of the Nazi takeover of Austria; and postwar Cambridge University, with its eccentric set of philosophy dons, including Bertrand Russell. At the center of the story stand the two giants of philosophy themselves -- proud, irascible, larger than life -- and spoiling for a fight.

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    Some facts are too terrifying to teach in school. Unfortunately, Cracked.com is more than happy to fill you in:* A zombie apocalypse? It could happen. 50% of humans are infected with a parasite that can take over your brain.* The FDA wouldn't let you eat bugs, right? Actually, you might want to put down those jelly beans. And that apple. And that strawberry yogurt.* Think dolphins are our friends? Then these sex-crazed thrill killers of the sea have you right where they want you.* The most important discovery in the history of genetics? Francis Crick came up with it while on LSD.* Think you're going to choose whether or not to buy this book? Scientists say your brain secretly makes all your decisions 10 seconds before you even know what they are.If you’re a fan of The Oatmeal or Frak.com and hate being wrong about stuff, you’ll love what you find in You Might Be a Zombie from the twisted minds at Cracked.

    From man's first act of counting to higher mathematics, from the smallest living creature to the dazzling reaches of outer space, Asimov is a master at "explaining complex material better than any other living person." (The New York Times) You'll learn: HOW to make a trillion seem small; WHY imaginary numbers are real; THE real size of the universe - in photons; WHY the zero isn't "good for nothing;" AND many other marvelous discoveries, in ASIMOV ON NUMBERS.

    Once he started a family, the moral dimensions of food became increasingly important.Faced with the prospect of being unable to explain why we eat some animals and not others, Foer set out to explore the origins of many eating traditions and the fictions involved with creating them. Traveling to the darkest corners of our dining habits, Foer raises the unspoken question behind every fish we eat, every chicken we fry, and every burger we grill.Part memoir and part investigative report, Eating Animals is a book that, in the words of the Los Angeles Times, places Jonathan Safran Foer "at the table with our greatest philosophers."

    Abbott published a brilliant novel about mathematics and philosophy that charmed and fascinated all of England. As both a witty satire of Victorian society and a means by which to explore the fourth dimension, Flatland remains a tour de force. Now, British mathematician and accomplished science writer Ian Stewart has written a fascinating, modern sequel to Abbott's book. Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who becomes her guide and mentor through eleven dimensions. Along the way, we meet Schröger's Cat, The Charming Construction Entity, The Mandelblot (who lives in Fractalia), and Moobius the one-sided cow. In the tradition of Alice in Wonder-land and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    The reflection we are faced with, of men and women in prisons literal and metaphorical, is frightening, but it is also a call to arms to speak and to act to preserve our freedom while we still can. And in that, there is hope.Selected from The Handmaid’s Tale and Hag-Seed by Margaret Atwood.VINTAGE MINIS: GREAT MINDS. BIG IDEAS. LITTLE BOOKS.A series of short books by the world’s greatest writers on the experiences that make us human

    For each occasion, Vonnegut's words were unfailingly unique, insightful, and witty, and they stayed with audience members long after graduation.This expanded second edition includes more than sixty pages of further thoughts from Kurt (whose good advice wasn’t limited to graduation speeches).As edited by Dan Wakefield, this book reads like a narrative in the unique voice that made Vonnegut a hero to readers of all ages. At times hilarious, razor-sharp, freewheeling, and deeply serious, these reflections are ideal for anyone undergoing what Vonnegut would call their “long-delayed puberty ceremony”—marking the passage from student to full-time adult.

    Brings together three hilarious pieces by America's comic genius: Without Feathers, a secret journal that addresses life's "big" questions; Getting Even, Woody as psychologist, historian, and philosopher; and Side Effects, Woody's take on UFOs and more.

    Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.