The Pythagorean Theorem

by POSAMENTIER, ALFRED S.HAUPTMAN, HERBERT A.

• ISBN13: 9781616141813
• ISBN10: 1616141816
• Format: Hardcover
• Copyright: 2010-06-22
• Publisher: Prometheus Books

Summary

Posamentier's lucid presentation and gift for conveying the significance of this key equation to those with little math background will inform, entertain, and inspire the reader, once again demonstrating the power and beauty of mathematics!

Table of Contents

Acknowledgments	p. 9
Introduction	p. 11
Pythagoras and His Famous Theorem	p. 17
Proving the Pythagorean Theorem without (Many) Words	p. 37
Applications of the Pythagorean Theorem	p. 77
Pythagorean Triples and Their Properties	p. 123
The Pythagorean Means	p. 169
Tuning the Soul: Pythagoras and Music	p. 185
The Pythagorean Theorem in Fractal Art	p. 211
Final Thoughts	p. 235
Afterword: About the Mathematics Work That Led to the 1985 Nobel Prize in Chemistry: Thanks Ultimately to Pythagoras	p. 237
Pictorial Depictions of Pythagoras and His Famous Theorem	p. 241
Some Selected Proofs	p. 253
Some More Proofs and Solutions	p. 265
List of Primitive Pythagorean Triples	p. 273
List of Pythagorean Triples-Primitive and Nonprimitive	p. 279
Further References	p. 303
Index	p. 305
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