Adventures in Mathematical Reasoning


Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 0486814114
Category: Mathematics
Page: 192
View: 3512

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Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.

Adventures in Mathematical Reasoning


Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 0486806448
Category: Mathematics
Page: 192
View: 2200

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Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.

The Phantom Tollbooth


Author: Norton Juster
Publisher: Knopf Books for Young Readers
ISBN: 0375985298
Category: Juvenile Fiction
Page: 288
View: 8099

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With almost 4 million copies sold over 50 years after its original publication, generations of readers have now journeyed with Milo to the Lands Beyond in this beloved classic that Philip Pullman says “comes up bright and new every time I read it . . . it will continue to charm and delight for a very long time yet. And teach us some wisdom, too.” Enriched by Jules Feiffer’s splendid illustrations, the wit, wisdom, and wordplay of Norton Juster’s offbeat fantasy are as beguiling as ever. For Milo, everything’s a bore. When a tollbooth mysteriously appears in his room, he drives through only because he’s got nothing better to do. But on the other side, things seem different. Milo visits the Island of Conclusions (you get there by jumping), learns about time from a ticking watchdog named Tock, and even embarks on a quest to rescue Rhyme and Reason. Somewhere along the way, Milo realizes something astonishing. Life is far from dull. In fact, it’s exciting beyond his wildest dreams!

Strength in Numbers

Discovering the Joy and Power of Mathematics in Everyday Life
Author: Sherman K. Stein
Publisher: Wiley
ISBN: 9781620456965
Category: Mathematics
Page: 288
View: 385

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An engaging survey of the fundamental concepts of mathematics and the many ways math is used in everyday life. This is a stimulating and simple reintroduction to all the math we all learned in high school but have forgotten, using many examples of how math applies to the real world. Highlights the math topics that are most relevant to everyday concerns, such as how statistics can be misleading and how interest on savings accounts accrues at different interest rates. Also explores the most fundamental mysteries and amazing properties, such as why two negative numbers multiplied together make a positive number and why fractions can be easily multiplied but not easily added. Uses a multitude of examples from real life such as how extremely large numbers are used to write unbreakable computer codes and how the slope of a curve is used by biologists to calculate the rate of growth of species. It walks the reader step by step through simple solutions to each problem explored.

The Mathematical Mechanic

Using Physical Reasoning to Solve Problems
Author: Mark Levi
Publisher: Princeton University Press
ISBN: 0691154562
Category: Science
Page: 186
View: 1457

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In this delightful book, Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.

The Dyslexic Advantage

Unlocking the Hidden Potential of the Dyslexic Brain
Author: Brock Eide,Fernette Eide
Publisher: Penguin
ISBN: 0452297923
Category: Family & Relationships
Page: 283
View: 3853

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The neurolearning-expert creators of the award-winning blog by the same name reveal the unique brain structure and organization of dyslexic individuals, identifying how the differences responsible for reading challenges also enable specific mechanical, artistic, narrative and dynamic talents. Reprint.

Plato's Camera

How the Physical Brain Captures a Landscape of Abstract Universals
Author: Paul M. Churchland
Publisher: MIT Press
ISBN: 0262300826
Category: Philosophy
Page: 304
View: 6152

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In Plato's Camera, eminent philosopher Paul Churchland offers a novel account of how the brain constructs a representation -- or "takes a picture" -- of the universe's timeless categorical and dynamical structure. This construction process, which begins at birth, yields the enduring background conceptual framework with which we will interpret our sensory experience for the rest of our lives. But, as even Plato knew, to make singular perceptual judgments requires that we possess an antecedent framework of abstract categories to which any perceived particular can be relevantly assimilated. How that background framework is assembled in the first place is the motivating mystery, and the primary target, of Churchland's book. Unexpectedly, this neurobiologically grounded account of human cognition also provides a systematic story of how such low-level epistemological activities are integrated within an enveloping framework of linguistic structures and regulatory mechanisms at the social level. As Churchland illustrates, this integration of cognitive mechanisms at several levels has launched the human race on an epistemological adventure denied to all other terrestrial creatures.

Why the Universe Is the Way It Is


Author: Hugh Ross
Publisher: Baker Books
ISBN: 9781441201881
Category: Religion
Page: 240
View: 6186

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Increasingly astronomers recognize that if the cosmos had not unfolded exactly as it did, humanity would not, could not, exist. Yet these researchers--along with countless ordinary folks--resist belief in the biblical Creator. Why? They say a loving God would have made a better home for us, one without trouble and tragedy. In Why the Universe Is the Way It Is, Hugh Ross draws from his depth of study in both science and Scripture to explain how the universe's design fulfills several distinct purposes. He also reveals God's surpassing love and ultimate purposes for each individual. Why the Universe Is the Way It Is will interest anyone who wonders where and how the universe came to be, what or who is responsible for it, why we are here, or how and when the universe ends. Far from leaving the reader at this philosophical jumping-off point, Ross builds toward answering the big question of human destiny and the specific question of each reader's personal destiny.

The Drunkard's Walk

How Randomness Rules Our Lives
Author: Leonard Mlodinow
Publisher: Vintage
ISBN: 0307275175
Category: Mathematics
Page: 252
View: 2507

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An irreverent look at how randomness influences our lives, and how our successes and failures are far more dependent on chance events than we recognize.

The Curious Incident of the Dog in the Night-Time


Author: Mark Haddon
Publisher: Anchor Canada
ISBN: 0307371565
Category: Fiction
Page: 240
View: 7684

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Narrated by a fifteen-year-old autistic savant obsessed with Sherlock Holmes, this dazzling novel weaves together an old-fashioned mystery, a contemporary coming-of-age story, and a fascinating excursion into a mind incapable of processing emotions. Christopher John Francis Boone knows all the countries of the world and their capitals and every prime number up to 7,057. Although gifted with a superbly logical brain, Christopher is autistic. Everyday interactions and admonishments have little meaning for him. At fifteen, Christopher’s carefully constructed world falls apart when he finds his neighbour’s dog Wellington impaled on a garden fork, and he is initially blamed for the killing. Christopher decides that he will track down the real killer, and turns to his favourite fictional character, the impeccably logical Sherlock Holmes, for inspiration. But the investigation leads him down some unexpected paths and ultimately brings him face to face with the dissolution of his parents’ marriage. As Christopher tries to deal with the crisis within his own family, the narrative draws readers into the workings of Christopher’s mind. And herein lies the key to the brilliance of Mark Haddon’s choice of narrator: The most wrenching of emotional moments are chronicled by a boy who cannot fathom emotions. The effect is dazzling, making for one of the freshest debut in years: a comedy, a tearjerker, a mystery story, a novel of exceptional literary merit that is great fun to read.

Intriguing Mathematical Problems


Author: Oswald Jacoby,William H. Benson
Publisher: Courier Corporation
ISBN: 0486168360
Category: Science
Page: 208
View: 8261

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Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Principia Mathematica


Author: Alfred North Whitehead,Bertrand Russell
Publisher: N.A
ISBN: N.A
Category: Logic, Symbolic and mathematical
Page: N.A
View: 3696

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Proofs from THE BOOK


Author: Martin Aigner,Günter M. Ziegler
Publisher: Springer
ISBN: 3662442051
Category: Mathematics
Page: 308
View: 3359

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This revised and enlarged fifth edition features four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises. From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questio ns so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011.

An Illustrated Book of Bad Arguments


Author: Ali Almossawi
Publisher: The Experiment
ISBN: 1615192263
Category: Philosophy
Page: 64
View: 3435

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“A flawless compendium of flaws.” —Alice Roberts, PhD, anatomist, writer, and presenter of The Incredible Human Journey The antidote to fuzzy thinking, with furry animals! Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle). Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences). Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments—which makes this geek-chic book a must for anyone in the habit of holding opinions.

Life of Pi

A Novel
Author: Yann Martel
Publisher: Houghton Mifflin Harcourt
ISBN: 0151008116
Category: Fiction
Page: 319
View: 6547

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Possessing encyclopedia-like intelligence, unusual zookeeper's son Pi Patel sets sail for America, but when the ship sinks, he escapes on a life boat and is lost at sea with a dwindling number of animals until only he and a hungry Bengal tiger remain. 40,000 first printing.

The Meaning of It All

Thoughts of a Citizen-Scientist
Author: Richard P. Feynman
Publisher: Basic Books
ISBN: 0786739142
Category: Science
Page: 192
View: 371

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Many appreciate Richard P. Feynman's contributions to twentieth-century physics, but few realize how engaged he was with the world around him—how deeply and thoughtfully he considered the religious, political, and social issues of his day. Now, a wonderful book—based on a previously unpublished, three-part public lecture he gave at the University of Washington in 1963—shows us this other side of Feynman, as he expounds on the inherent conflict between science and religion, people's distrust of politicians, and our universal fascination with flying saucers, faith healing, and mental telepathy. Here we see Feynman in top form: nearly bursting into a Navajo war chant, then pressing for an overhaul of the English language (if you want to know why Johnny can't read, just look at the spelling of “friend”); and, finally, ruminating on the death of his first wife from tuberculosis. This is quintessential Feynman—reflective, amusing, and ever enlightening.

How the Body Shapes the Way We Think

A New View of Intelligence
Author: Rolf Pfeifer,Josh Bongard
Publisher: MIT Press
ISBN: 0262288524
Category: Computers
Page: 424
View: 3002

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How could the body influence our thinking when it seems obvious that the brain controls the body? In How the Body Shapes the Way We Think, Rolf Pfeifer and Josh Bongard demonstrate that thought is not independent of the body but is tightly constrained, and at the same time enabled, by it. They argue that the kinds of thoughts we are capable of have their foundation in our embodiment -- in our morphology and the material properties of our bodies.This crucial notion of embodiment underlies fundamental changes in the field of artificial intelligence over the past two decades, and Pfeifer and Bongard use the basic methodology of artificial intelligence -- "understanding by building" -- to describe their insights. If we understand how to design and build intelligent systems, they reason, we will better understand intelligence in general. In accessible, nontechnical language, and using many examples, they introduce the basic concepts by building on recent developments in robotics, biology, neuroscience, and psychology to outline a possible theory of intelligence. They illustrate applications of such a theory in ubiquitous computing, business and management, and the psychology of human memory. Embodied intelligence, as described by Pfeifer and Bongard, has important implications for our understanding of both natural and artificial intelligence.

Our Mathematical Universe

My Quest for the Ultimate Nature of Reality
Author: Max Tegmark
Publisher: Vintage
ISBN: 038535049X
Category: Science
Page: 432
View: 2771

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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Mathematics and the Aesthetic

New Approaches to an Ancient Affinity
Author: Nathalie Sinclair,William Higginson
Publisher: Springer Science & Business Media
ISBN: 9780387381459
Category: Mathematics
Page: 288
View: 3668

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This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.