pythagorean theorem the story of its power and beauty

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The Pythagorean Theorem

Author : Alfred S. Posamentier
ISBN : STANFORD:36105215504585
Genre : Mathematics
File Size : 81. 52 MB
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entertaining and informative book, veteran math educator Alfred S. Posamentier makes the importance of the Pythagorean Theorem delightfully clear. Posamentier begins with a brief history of Pythagoras himself 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. Following this introduction to the topic, he shows the many ingenious ways in which the theorem has been proved visually by 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, Posamentier then explores the Pythagorean triples, pointing out the many hidden surprises of the three numbers that can represent the sides of a right triangle (e.g., 3, 4, 5 and 5, 12, 13). The relationships --

The Metaphysics Of The Pythagorean Theorem

Author : Robert Hahn
ISBN : 9781438464916
Genre : Philosophy
File Size : 23. 29 MB
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Explores Thales’s speculative philosophy through a study of geometrical diagrams. Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato’s Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn’s book will enrich the study of ancient philosophy and mathematics alike.

The Best Writing On Mathematics 2011

Author : Mircea Pitici
ISBN : 9781400839544
Genre : Mathematics
File Size : 48. 64 MB
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This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

Of The Pythagorean Theorem

Author : Asa Whitley
ISBN : 9781312763814
Genre :
File Size : 25. 42 MB
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Why Beauty Is Truth

Author : Ian Stewart
ISBN : 9780465008759
Genre : Science
File Size : 49. 12 MB
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At the heart of relativity theory, quantum mechanics, string theory, and much of modern cosmology lies one concept: symmetry. In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups” with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic” symmetries that may explain the very existence of the universe.

The Development Of Mathematics

Author : E. T. Bell
ISBN : 9780486152288
Genre : Mathematics
File Size : 86. 39 MB
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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Imagine Childhood

Author : Sarah Olmsted
ISBN : 9781590309704
Genre : Crafts & Hobbies
File Size : 46. 45 MB
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A treasury of crafts and activities celebrates the wonders and adventures of childhood with options designed to enhance a child's interactions with the world, suggesting a range of imaginary play and exploration games, including several outdoor ideas. Original.

A Mathematical Mystery Tour

Author : A. K. Dewdney
ISBN : UVA:X004266505
Genre : Mathematics
File Size : 82. 11 MB
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Praise for A. K. Dewdney Yes, We Have No Neutrons "We need more books like this-especially if they're this much fun to read." -Wired "Dewdney manages to make this catalog of error entertaining as well as instructive; good medicine for both skeptics and true believers." -Kirkus Reviews "Written with wit and a touch of pathos-and sure to please science lovers." -Publishers Weekly 200% of Nothing "It is impossible to read this timely, important book without enjoyment and eye-opening enlightenment." -Martin Gardner "An entertaining, stinging expos?." -Publishers Weekly

The Secret Life Of Equations

Author : Richard Cochrane
ISBN : 9781844038633
Genre : Mathematics
File Size : 78. 34 MB
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Discover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world. From much heralded classics, like Zeno's Dichotomy and Pythagoras's Theorem, to The Schrödinger Wave Equation and Google PageRank, each equation is broken down and explained in a unique, illustrated way, so that you understand what it's about; what it's good for; its history, detail and related equations. Behind every important scientific discovery there is an equation. They are far from baffling, and now you too can understand their power and beauty!

Prelude To Mathematics

Author : W. W. Sawyer
ISBN : 9780486152776
Genre : Mathematics
File Size : 82. 74 MB
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This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.

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