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- The Pythagorean Theorem
- Alfred S. Posamentier
- 06 November 2018 Alfred S. Posamentier
Alfred S. Posamentier Å 7 review
As's name was attached to it He then shows the many ingenious ways in which the theorem has been proved visually using highly imaginative diagrams Some of these go back to ancient mathematicians; others are comparatively recent proofs including one by the twentieth president of the United States James A Garfield After demonstrating some curious applications of the theorem the author then explores the Pythagorean triples pointing out the many hidden surprises of the three numbers that can represent the sides of the right triangle eg 3 4 5 and 5 12 13 And many will truly amaze the reader He then turns to the.
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Pythagorean means the arithmetic geometric and harmonic means By comparing their magnitudes in a variety of ways he gives the reader a true appreciation for these mathematical concepts The final two chapters view the Pythagorean theorem from an artistic point of view namely how Pythagoras's work manifests itself in music and how the Pythagorean theorem can influence fractals The author's lucid presentation and gift for conveying the significance of this key euation to those with little math background will inform entertain and inspire the reader once again demonstrating the power and beauty of mathematics.
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The Pythagorean theorem may be the best known euation in mathematics Its origins reach back to the beginnings of civilization and today every student continues to study it What most nonmathematicians don't understand or appreciate is why this simply stated theorem has fascinated countless generations In this entertaining and informative book a veteran math educator makes the importance of the Pythagorean theorem delightfully clearHe begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians Babylonians Indians and Chinese who used it intuitively long before Pythagor.