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The Pythagorean Theorem: The Story of Its Power and Beauty,New
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The Pythagorean theorem may be the bestknown equation 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 clear.He 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 Pythagoras'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 (e.g, 3, 4, 5 and 5, 12, 13). And many will truly amaze the reader. He then turns to the '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 equation 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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This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
- Q: What is the main topic of 'The Pythagorean Theorem: The Story of Its Power and Beauty'? A: The book explores the Pythagorean theorem, its historical context, and its significance in mathematics, showcasing its applications and visual proofs.
- Q: Who is the author of this book? A: The book is authored by Alfred S. Posamentier, a veteran math educator.
- Q: What is the binding type of this book? A: This book is available in hardcover binding.
- Q: How many pages does this book contain? A: The book has a total of 320 pages.
- Q: When was 'The Pythagorean Theorem' published? A: The book was published on June 22, 2010.
- Q: Is this book suitable for readers with little math background? A: Yes, the author's lucid presentation makes the significance of the Pythagorean theorem accessible to readers without a strong math background.
- Q: What are Pythagorean triples mentioned in the book? A: Pythagorean triples are sets of three numbers that can represent the sides of a right triangle, such as 3, 4, 5 and 5, 12, 13.
- Q: Does the book cover practical applications of the Pythagorean theorem? A: Yes, the book explores various applications and curious uses of the Pythagorean theorem.
- Q: What unique features does this book offer? A: The book includes imaginative diagrams and visual proofs, along with historical insights into Pythagoras and the theorem's evolution.
- Q: Is this book considered a used book? A: Yes, it is classified as a used book in good condition.