The Pythagorean Theorem

The Story of Its Power and Beauty

Author: Alfred S. Posamentier

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 320

View: 2427

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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 --
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The Metaphysics of the Pythagorean Theorem

Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles

Author: Robert Hahn

Publisher: SUNY Press

ISBN: 1438464916

Category: Philosophy

Page: 300

View: 441

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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.
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The Best Writing on Mathematics 2011

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 0691153159

Category: Mathematics

Page: 383

View: 3104

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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.
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The Development of Mathematics

Author: E. T. Bell

Publisher: Courier Corporation

ISBN: 0486152286

Category: Mathematics

Page: 656

View: 6230

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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.
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A Classical Dictionary

Containing a Copious Account of All the Proper Names Mentioned in Ancient Authors ...

Author: John Lemprière

Publisher: N.A

ISBN: N.A

Category: Classical dictionaries

Page: 804

View: 6014

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Prelude to Mathematics

Author: W. W. Sawyer

Publisher: Courier Corporation

ISBN: 0486152774

Category: Mathematics

Page: 224

View: 2230

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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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The Secret Life of Equations

The 50 Greatest Equations and How They Work

Author: Richard Cochrane

Publisher: Hachette UK

ISBN: 1844038637

Category: Mathematics

Page: 192

View: 4257

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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!
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An Equation for Every Occasion

Fifty-Two Formulas and Why They Matter

Author: John M. Henshaw

Publisher: JHU Press

ISBN: 1421414910

Category: Mathematics

Page: 200

View: 5147

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In An Equation for Every Occasion, John M. Henshaw tells fifty-two entertaining true stories, each inspired by a different mathematical equation. His succinct, easy-to-read narratives come from the spheres of sports, business, history, the arts, science, and technology. Anecdotes about famous equations, like E=mc2, appear alongside tales of not-so-famous—but equally fascinating—equations, such as the one that's used to determine the SPF number on a bottle of sunscreen. Drawn from the breadth of human endeavor, Henshaw's stories demonstrate the power and utility of math. He entertains us by exploring the ways that equations can be used to explain, among other things, Ponzi schemes, the placebo effect, "dog years," IQ, the wave mechanics of tsunamis, the troubled modern beekeeping industry, and the Challenger disaster. Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts. Yet readers will find themselves learning more than just math; they'll learn about the workings of the universe. Once immersed in this book you'll find yourself thirsting for the next equation in this original page-turner.
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History of Bowdoin college

With biographical sketches of its graduates, from 1806 to 1879, inclusive

Author: Nehemiah Cleaveland,Alpheus Spring Packard

Publisher: N.A

ISBN: N.A

Category: Universities and colleges

Page: 905

View: 4182

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