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The Pythagorean Theorem A 4,000-Year History~tqw~ darksiderg

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INFO

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Title................: The Pythagorean Theorem A 4,000-Year History

Type.................: Ebook

Reader...............: PDF Reader

Size.................: 25.1 MB

Torrent Hash.........: C5F74DCF72EC8640D807A09B7F1E26B8EFD66472

Posted by............: ~tqw~



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CONTENTS

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[img]http://images.barnesandnoble.com/images/12230000/12239020.jpg[/img]

Synopsis:

By any measure, the Pythagorean theorem is the most famous statement in all

of mathematics, one remembered from high school geometry class by even the

most math-phobic students. Well over four hundred proofs are known to exist,

including ones by a twelve-year-old Einstein, a young blind girl, Leonardo

da Vinci, and a future president of the United States. Here—perhaps for the

first time in English—is the full story of this famous theorem.



Table Of Contents:

List of Color Plates     ix

Preface     xi

Prologue: Cambridge, England, 1993     1

Mesopotamia, 1800 BCE     4

Did the Egyptians Know It?     13

Pythagoras     17

Euclid's Elements     32

The Pythagorean Theorem in Art, Poetry, and Prose     45

Archimedes     50

Translators and Commentators, 500-1500 CE     57

Francois Viete Makes History     76

From the Infinite to the Infinitesimal     82

A Remarkable Formula by Euler     94

371 Proofs, and Then Some     98

The Folding Bag     115

Einstein Meets Pythagoras     117

A Most Unusual Proof     119

A Theme and Variations     123

A Pythagorean Curiosity     140

A Case of Overuse     142

Strange Coordinates     145

Notation, Notation, Notation     158

From Flat Space to Curved Spacetime     168

A Case of Misuse     177

Prelude to Relativity     181

From Bern to Berlin, 1905-1915     188

Four Pythagorean Brainteasers     197

But Is It Universal?     201

Afterthoughts     208

Epilogue: Samos, 2005     213

Appendixes

How did the Babylonians Approximate [square root 2?]     219

Pythagorean Triples     221

Sums of Two Squares     223

A Proof that [square root 2] is Irrational     227

Archimedes' Formula for Circumscribing Polygons     229

Proof of some Formulas from Chapter 7     231

Deriving the Equation [Characters not reproducible]     235

Solutions to Brainteasers     237

Chronology     241

Bibliography     247

Illustrations Credits     251

Index     253



Product Details:

    * ISBN: 0691125260

    * ISBN-13: 9780691125268

    * Format: Hardcover, 286pp

    * Publisher: Princeton University Press

    * Pub. Date: May 2007



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Greetz Fellow UL'ers

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