A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

»A Tale of the Ragged Mountains« is a short story by Edgar Allan Poe, originally published in 1844. EDGAR ALLAN POE was born in Boston in 1809. After brief stints in academia and the military, he began working as a literary critic and author. He made his debut with the novel The Narrative of Arthur Gordon Pym of Nantucket in 1838, but it was in his short stories that Poe's peculiar style truly flourished. He died in Baltimore in 1849.

Auto/biography is currently one of the most popular literary genres, widely supposed to illuminate the study of the individual and his or her personal circumstances. Missing Persons suggests that auto/biography is, in fact, based on fictions, both about the person and about what it is possible to know about any one individual. Organised into chapters which consider particular kinds of auto/biographical writing, such as work on the British Royal Family and auto/biographies of twentieth-century men, this book demonstrates the absences and evasions - indeed the `missing persons - of auto/biography. Mary Evans' book will provide invaluable reading for students of womens studies, sociology and cultural studies courses.

"Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist "In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice

A chilling, wildly original novel from a major new voice from South Korea The Impossible Fairy Tale is the story of two unexceptional grade-school girls. Mia is “lucky”—she is spoiled by her mother and, as she explains, her two fathers. She gloats over her exotic imported color pencils and won’t be denied a coveted sweater. Then there is the Child who, by contrast, is neither lucky nor unlucky. She makes so little impression that she seems not even to merit a name. At school, their fellow students, whether lucky or luckless or unlucky, seem consumed by an almost murderous rage. Adults are nearly invisible, and the society the children create on their own is marked by cruelty and soul-crushing hierarchies. Then, one day, the Child sneaks into the classroom after hours and adds ominous sentences to her classmates’ notebooks. This sinister but initially inconsequential act unlocks a series of events that end in horrible violence. But that is not the end of this eerie, unpredictable novel. A teacher, who is also this book’s author, wakes from an intense dream. When she arrives at her next class, she recognizes a student: the Child, who knows about the events of the novel’s first half, which took place years earlier. Han Yujoo’s The Impossible Fairy Tale is a fresh and terrifying exploration of the ethics of art making and of the stinging consequences of neglect.