Search results for: euclid-in-the-rainforest

Euclid in the Rainforest

Author : Joseph Mazur
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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.

Reflections on Poetry and the World

Author : Emily Grosholz
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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.

Abraham Lincoln and the Structure of Reason

Author : David Hirsch
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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).

Advanced Intelligent Computing Theories and Applications

Author : De-Shuang Huang
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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.

Here s Looking at Euclid

Author : Alex Bellos
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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 Clock Mirage

Author : Joseph Mazur
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Named one of Book Riot's Six Great Nonfiction Books about Time: a tour of clocks throughout the centuries--from the sandglass to the telomere--that reveals the physical, biological, and social nature of time "[A] mind-stretching book. . . . Skilfully written."--John Carey, Sunday Times (London) What is time? This question has fascinated philosophers, mathematicians, and scientists for thousands of years. Why does time seem to speed up with age? What is its connection with memory, anticipation, and sleep cycles? Award-winning author and mathematician Joseph Mazur provides an engaging exploration of how the understanding of time has evolved throughout human history and offers a compelling new vision, submitting that time lives within us. Our cells, he notes, have a temporal awareness, guided by environmental cues in sync with patterns of social interaction. Readers learn that, as a consequence of time's personal nature, a forty-eight-hour journey on the space shuttle can feel shorter than a six-hour trip on the Soyuz capsule, that the Amondawa of the Amazon do not have ages, and that time speeds up with fever and slows down when we feel in danger. With a narrative punctuated by personal stories of time's effects on truck drivers, Olympic racers, prisoners, and clockmakers, Mazur's journey is filled with fascinating insights into how our technologies, our bodies, and our attitudes can change our perceptions. Ultimately, time reveals itself as something that rides on the rhythms of our minds. The Clock Mirage presents an innovative perspective that will force us to rethink our relationship with time, and how best to use it.

Enlightening Symbols

Author : Joseph Mazur
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While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

Choosing Faith

Author : John W. Saultz
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A belief is a judgment that we assume to be true when making life decisions. Our beliefs cannot conclusively be proven true or false. Beliefs can be as simple as our preference for food or as profound as our religious beliefs. How are beliefs different from knowledge or opinion? How do beliefs develop and change over time, and how do they become the foundation of our purpose in life? This book is divided into three sections. The first explains how beliefs are formed in childhood and modified and adapted when we become adults. The second section explores different types of belief and introduces the notion of moral beliefs about right and wrong and religious beliefs about the existence and nature of God. The final section of the book explains how beliefs are prioritized into a faith that becomes our framework for making life decisions. The beliefs we hold most dear form the building blocks of our purpose in life. We have the freedom to choose our beliefs, so we have the freedom to choose our purpose. The goal of this book is to help the reader think deeply about this process and explore the meaning of this freedom.

What s Luck Got to Do with It

Author : Joseph Mazur
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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.

Fluke

Author : Joseph Mazur
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What are the chances?! This exclamation greets the scarcely believable coincidence – you’re picked up by the same taxi driver several years and thousands of miles apart or, in a second-hand bookshop far from home, you find your own childhood copy of Winnie-the-Pooh on the shelf. But the unlikely is more probable than you think. Against every fibre of common sense, the fact is that it’s quite likely that some squirrel, somewhere, will be struck by lightning as it crosses the road. The chaos and unpredictability of our lives is an illusion. There is a rational order to the universe, and it’s called mathematics. Fluke is a fascinating investigation into the true nature of chance, a must-read for maths enthusiasts and avid storytellers alike, it tears down the veil of improbability to reveal the wonderfully possible.

Alex s Adventures in Numberland

Author : Alex Bellos
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A hugely enjoyable, brilliantly researched explanation of the basic principles of maths.

The Motion Paradox

Author : Joseph Mazur
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The epic tale of an ancient, unsolved puzzle and how it relates to all scientific attempts to explain the basic structure of the universe At the dawn of science the ancient Greek philosopher Zeno formulated his paradox of motion, and amazingly, it is still on the cutting edge of all investigations into the fabric of reality. Zeno used logic to argue that motion is impossible, and at the heart of his maddening puzzle is the nature of space and time. Is space-time continuous or broken up like a string of beads? Over the past two millennia, many of our greatest minds—including Aristotle, Galileo, Newton, Einstein, Stephen Hawking, and other current theoreticians—have been gripped by the mystery this puzzle represents. Joseph Mazur, acclaimed author of Euclid in the Rainforest, shows how historic breakthroughs in our understanding of motion shed light on Zeno’s paradox. The orbits of the planets were explained, the laws of motion were revealed, the theory of relativity was discovered—but the basic structure of time and space remained elusive. In the tradition of Fermat’s Enigma and Zero, The Motion Paradox is a lively history of this apparently simple puzzle whose solution—if indeed it can be solved—will reveal nothing less than the fundamental nature of reality.

Zeno s Paradox

Author : Joseph Mazur
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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.

The Publishers Weekly

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Joyce in the Belly of the Big Truck Workbook

Author : Joyce A. Cascio
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Library Journal

Author :
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Includes, beginning Sept. 15, 1954 (and on the 15th of each month, Sept.-May) a special section: School library journal, ISSN 0000-0035, (called Junior libraries, 1954-May 1961). Also issued separately.

Euclid s Window

Author : Leonard Mlodinow
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Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. 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.

Enlightening Symbols

Author : Joseph Mazur
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An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

The Clock Mirage

Author : Joseph Mazur
File Size : 22.80 MB
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A tour of clocks throughout the centuries—from the sandglass to the telomere—to reveal the physical, biological, and social nature of time What is time? This question has fascinated philosophers, mathematicians, and scientists for thousands of years. Why does time seem to speed up with age? What is its connection with memory, anticipation, and sleep cycles? Award-winning author and mathematician Joseph Mazur provides an engaging exploration of how the understanding of time has evolved throughout human history and offers a compelling new vision, submitting that time lives within us. Our cells, he notes, have a temporal awareness, guided by environmental cues in sync with patterns of social interaction. Readers learn that, as a consequence of time’s personal nature, a forty-eight-hour journey on the Space Shuttle can feel shorter than a six-hour trip on the Soyuz capsule, that the Amondawa of the Amazon do not have ages, and that time speeds up with fever and slows down when we feel in danger. With a narrative punctuated by personal stories of time’s effects on truck drivers, Olympic racers, prisoners, and clockmakers, Mazur’s journey is filled with fascinating insights into how our technologies, our bodies, and our attitudes can change our perceptions. Ultimately, time reveals itself as something that rides on the rhythms of our minds. The Clock Mirage presents an innovative perspective that will force us to rethink our relationship with time, and how best to use it.

The Parrot s Theorem

Author : Denis Guedj
File Size : 60.84 MB
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Mr. Ruche, a Parisian bookseller, receives a bequest from a long lost friend in the Amazon of a vast library of math books, which propels him into a great exploration of the story of mathematics. Meanwhile Max, whose family lives with Mr. Ruche, takes in a voluble parrot who will discuss math with anyone. When Mr. Ruche learns of his friend's mysterious death in a Brazilian rainforest, he decides that with the parrot's help he will use these books to teach Max and his brother and sister the mysteries of Euclid's Elements, Pythagoras's Theorem and the countless other mathematical wonders. But soon it becomes clear that Mr. Ruche has inherited the library for reasons other than enlightenment, and before he knows it the household is racing to prevent the parrot and vital, new theorems from falling into the wrong hands. An immediate bestseller when first published in France, The Parrot's Theorem charmingly combines a straightforward history of mathematics and a first-rate murder mystery.