Euclid In The Rainforest

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

This collection brings together 40 years of essays about poetry and literature written by Emily Grosholz. The first section includes essays about some of her favorite poets and thinkers in the United States, England, France and Germany. The second section brings poetry into relation with ethics, politics and practical deliberation, and the third considers it alongside science and imagination. The last section is an homage to The Hudson Review, for whom she has served as an Advisory Editor for many years. As a philosopher, Emily Grosholz has written and thought about feminism, racism, and mathematics and science, which has led her to admire all the more the distinct wisdom of poetry. These essays show how poetry reorganized language and memory, eros and experience, and time and place, and how and why it deepens our understanding of life.

The secrets of one of history’s greatest orators are revealed in “one of the most stunningly original works on Abraham Lincoln to appear in years” (John Stauffer, professor of English and history, Harvard University). For more than 150 years, historians have speculated about what made Abraham Lincoln truly great. How did Lincoln create his compelling arguments, his convincing oratory, and his unforgettable writing? Some point to Lincoln’s study of grammar, literature, and poetry. Others believe it was the deep national crisis that gave import to his words. Most agree that he honed his persuasive technique in his work as an Illinois attorney. Here, the authors argue that it was Lincoln’s in-depth study of geometry that made the president’s verbal structure so effective. In fact, as the authors demonstrate, Lincoln embedded the ancient structure of geometric proof into the Gettysburg Address, the Cooper Union speech, the first and second inaugurals, his legal practice, and much of his substantive post-1853 communication. Also included are Lincoln’s preparatory notes and drafts of some of his most famous speeches as well as his revisions and personal thoughts on public speaking and grammar. With in-depth research and provocative insight, Abraham Lincoln and the Structure of Reason “offers a whole new angle on Lincoln’s brilliance” (James M. Cornelius, Curator, Lincoln Collection, Abraham Lincoln Presidential Library and Museum).

This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Intelligent Computing, ICIC 2011, held in Zhengzhou, China, in August 2011. The 94 revised full papers presented were carefully reviewed and selected from 832 submissions. The papers are organized in topical sections on intelligent computing in scheduling; local feature descriptors for image processing and recognition; combinatorial and numerical optimization; machine learning theory and methods; intelligent control and automation; knowledge representation/reasoning and expert systems; intelligent computing in pattern recognition; intelligent computing in image processing; intelligent computing in computer vision; biometrics with applications to individual security/forensic sciences; modeling, theory, and applications of positive systems; sparse manifold learning methods and applications; advances in intelligent information processing.

The fascinating story of an ancient riddle and what it reveals about the nature of time and space Three millennia ago, the Greek philosopher Zeno constructed a series of logical paradoxes to prove that motion is impossible. Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.

The hazards of feeling lucky in gambling Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of dice playing among Neolithic peoples to the first systematic mathematical studies of games of chance during the Renaissance, from government-administered lotteries to the glittering seductions of grand casinos, and on to the global economic crisis brought on by financiers' trillion-dollar bets. Using plenty of engaging anecdotes, Mazur explains the mathematics behind gambling—including the laws of probability, statistics, betting against expectations, and the law of large numbers—and describes the psychological and emotional factors that entice people to put their faith in winning that ever-elusive jackpot despite its mathematical improbability. As entertaining as it is informative, What's Luck Got to Do with It? demonstrates the pervasive nature of our belief in luck and the deceptive psychology of winning and losing. Some images inside the book are unavailable due to digital copyright restrictions.

A comprehensive guide to designing homeschool curriculum, from one of the country’s foremost homeschooling experts—now revised and updated! Homeschooling can be a tremendous gift to your children—a personalized educational experience tailored to each kid’s interests, abilities, and learning styles. But what to teach, and when, and how? Especially for first-time homeschoolers, the prospect of tackling an annual curriculum can be daunting. In Home Learning Year by Year, Rebecca Rupp presents comprehensive plans from preschool through high school, covering integral subjects for each grade, with lists of topics commonly presented at each level, recommended resource and reading lists, and suggestions for creative alternative options and approaches. Included, along with all the educational basics, are techniques and resources for teaching everything from philosophy to engineering, as well as suggestions for dealing with such sensitive topics as sex education. Now revised throughout with all-new updates featuring the most effective and up-to-date methods and reading guides to homeschool your child at all ages, Home Learning Year by Year continues to be the definitive book for the homeschooling parent.

"Beyond doubt the most interesting book on the evolution of mathematics which has ever fallen into my hands."—Albert Einstein Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Renowned professor of mathematics Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.