Reviews""A delightful departure from the typical mathematics book...[it] is a must read for students, teachers, college professors, an anyone interested in mathematics."- Mathematics Teacher"[Posamentier's] work is nothing short of comprehensive and remains the most standard work to represent Pythagorian thought in a modern era.... A dynamic read for stimulating your brain."- San Francisco Book Review"Posamentier explains well. He doesn't condescend, and he assumes that we'll follow what he has to say because he explains it in such an order that it's very hard not to follow... It ought to be dull, but it's not: it's fascinating.... Posamentier is on the list of writers I'll watch for, because I know now that if he writes about a subject then I will end up understanding it."- BiblioBuffet"A fine addition to any math history library."- The Bookwatch, The Midwest Book Review"An enjoyable read and a good reference. Highly recommended."- Choice, "A delightful departure from the typical mathematics book…[it] is a must read for students, teachers, college professors, an anyone interested in mathematics." - Mathematics Teacher "[Posamentier's] work is nothing short of comprehensive and remains the most standard work to represent Pythagorian thought in a modern era…. A dynamic read for stimulating your brain." - San Francisco Book Review "Posamentier explains well. He doesn't condescend, and he assumes that we'll follow what he has to say because he explains it in such an order that it's very hard not to follow… It ought to be dull, but it's not: it's fascinating.... Posamentier is on the list of writers I'll watch for, because I know now that if he writes about a subject then I will end up understanding it." - BiblioBuffet "A fine addition to any math history library." - The Bookwatch, The Midwest Book review "An enjoyable read and a good reference. Highly recommended." - Choice, "A delightful departure from the typical mathematics book...[it] is a must read for students, teachers, college professors, an anyone interested in mathematics." - Mathematics Teache r "[Posamentier's] work is nothing short of comprehensive and remains the most standard work to represent Pythagorian thought in a modern era.... A dynamic read for stimulating your brain." - San Francisco Book Review "Posamentier explains well. He doesn't condescend, and he assumes that we'll follow what he has to say because he explains it in such an order that it's very hard not to follow... It ought to be dull, but it's not: it's fascinating.... Posamentier is on the list of writers I'll watch for, because I know now that if he writes about a subject then I will end up understanding it." - BiblioBuffet "A fine addition to any math history library." - The Bookwatch, The Midwest Book Review "An enjoyable read and a good reference. Highly recommended." - Choice
Dewey Edition22
SynopsisThe Pythagorean Theorem is one of the best-known equations in mathematics. Its origins reach back to the beginnings of civilization. What most non-mathematicians don't understand or appreciate is why this simply stated theorem has fascinated countless generations. This book explores the history and importance of this remarkable equation., This is a fascinating journey through the history of one of the world's most famous and remarkable mathematical equations. The Pythagorean Theorem is one of the best-known equations in mathematics. Its origins reach back to the beginnings of civilization, and today every student continues to study it. What most non-mathematicians don't understand or appreciate is why this simply stated theorem has fascinated countless generations. "The Pythagorean Theorem" is an entertaining and informative book that explores the history and importance of this remarkable equation. It begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians, Babylonians, Indians and Chinese - who were using it intuitively long before Pythagoras' name was attached. It further examines the ingenious ways in which the theorem has been proved throughout history, including some highly imaginative diagrams dating back thousands of years, as well as demonstrating some of the curious applications it has been used for down the centuries. The book concludes with a look at the theorem from a non-mathematical point of view, exploring the many ways it manifests itself through nature and even in music., The Pythagorean theorem may be the best-known 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!, The Pythagorean theorem may be the best-known 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, The Pythagorean theorem may be the best-known 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!
LC Classification NumberQA460.P8P67 2010