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Geometry & Topology

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Flatland (Shambhala Pocket Classics)

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Author: Edwin Abbott

     Flatland, like our own world, is on the verge of the millenium. On the last day of the year 1999, a Square—hitherto undistinguished from the other shapes of his two-dimensional world—receives the Gospel of Three Dimensions, revealed to that world's flat inhabitants only once every a thousand years. Transformed by a truth he is unable to conceal, he is promptly condemned as a heretic. His poignant tale is itself a multi-dimensional creation, for it is not only a challenge to our most basic perceptions of everyday reality, but a sharp social satire and an illuminating mathematical treatise as well.
     
     In the tradition of fantasy and social satire that includes Gulliver's Travels , Alice in Wonderland, and Animal Farm, Abbott pokes fun at the rigid class structure and concern for appearances of his Victorian society even as he poses an underlying question that is as provoking today as it was a century ago. Could we and everything we see around us be only a cross section for worlds of higher dimensions?
     

Unless you're a mathematician, the chances of you reading any novels about geometry are probably slender. But if you read only two in your life, these are the ones. Taken together, they form a couple of accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland, which is also available under separate cover, was published in 1880 and imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is. But one Flatlander, a Square, discovers the existence of a third dimension and the limits of his world's assumptions about reality and comes to understand the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. The further mathematical fantasy, Sphereland, published 60 years later, revisits the world of Flatland in time to explore the mind-bending theories created by Albert Einstein, whose work so completely altered the scientific understanding of space, time, and matter. Among Einstein's many challenges to common sense were the ideas of curved space, an expanding universe and the fact that light does not travel in a straight line. Without use of the mathematical formulae that bar most non-scientists from an understanding of Einstein's theories, Sphereland gives lay readers ways to start comprehending these confusing but fundamental questions of our reality.

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Schaum's Outline of Calculus, 5ed: Schaum's Outline of Calc, 5ed (Schaum's Outline Series)

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Author: Frank Ayres

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
  • In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.

Features:

  • ISBN13: 9780071508612
  • Condition: NEW
  • Notes: Brand New from Publisher. No Remainder Mark.

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The (Mis)behaviour of Markets: A Fractal View of Risk, Ruin and Reward

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Author: Benoit B. Mandelbrot

Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf, a rocky coastline or a static in a computer connection to a few simple mathematical properties - to make the complex simple. With his fractal tools, Benoit Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time, a unique dimension and a wild kind of behaviour that makes them volatile, dangerous - and also beautiful. In Mandelbrot's fractal models, the complex gyrations of IBM's stock price, the FTSE 100 cotton trading and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.

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Sir Cumference And The Dragon Of Pi (Turtleback School & Library Binding Edition)

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Author: Cindy Neuschwander

THIS EDITION IS INTENDED FOR USE IN SCHOOLS AND LIBRARIES ONLY. When Sir Cumference drinks a potion which turns him into a dragon, his son Radius searches for the magic number known as pi, which will restore him to his former shape.

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The Golden Ratio: The Story of PHI, the World's Most Astonishing Number

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Author: Mario Livio

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.


From the Hardcover edition.

Features:

  • ISBN13: 9780767908160
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  • Notes: Brand New from Publisher. No Remainder Mark.

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The House of Atreus (Classic Reprint)

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Author: E. D. A. Morshead

PREFACE
JESCHYLUS, son uf Euphorion, an Athenian of the
deme of Eleusis, was born, B.C. 525. He consecrated
his life ~o the tragic art from his youth upwards: yet
he is held to have been a valiant foldier, and with his
brother Cynegirus to have fought at Marathon, and
at Salamis, and at Platrea as some say. Afterwards,
being at variance with the Athrlial.s, he went away
from them unto Sicily, and dwelt at the court of
Hiero, tyrant of Gela, and was held by him in high
honour. He died in his sixty-ninth year by a strange
fate, whereof he had been warned in an oracle, saying
A stroke from heaven shall slay thee. For as he was
walking on the shore, an eagle, that had snatched up
a tortoise into the air, let it drop; and it fell upon
him, and he died.
Such is almost all that we are told, and more than
we can be said to know certainly, of the life of the
poet, whose masterpiece I have done my best to
render into English verse, with the :nope of helping one or two of those

Table of Contents

CONTENTS; PAGE; _&nMEMNON 1; THE LIBATION -BEA~ERS 79; THE FURIES 135

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the difficult to read text. Read books online for free at www.forgottenbooks.org

Schaum's Outline of Geometry, 4ed (Schaum's Outline Series)

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Author: Barnett Rich

Schaum's has Satisfied Students for 50 Years.

Now Schaum's Biggest Sellers are in New Editions!

For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

Schaum's Outlines-Problem Solved

More than 400,000 sold!

This review of standard college courses in geometry has been updated to reflect the latest course scope and sequences. The new edition includes an added chapter on Solid Geometry and a chapter on Transformation, plus expanded explanations of particularly difficult topics, as well as many new worked-out and supplementary problems.

Features:

  • ISBN13: 9780071544122
  • Condition: NEW
  • Notes: Brand New from Publisher. No Remainder Mark.

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Geometry

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Author: Jurgensen

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The Developing Person Through Childhood and Adolescence & Media Tool Kit

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Author: Kathleen Stassen Berger

The new edition of the acclaimed classroom favorite for chronologically organized child development courses.

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Geometry

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Author: Ron Larson

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