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Hidden Harmonies

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A squared plus b squared equals c squared may seem simple, but it opens a vibrant world of mathematics, guided by acclaimed authors Robert and Ellen Kaplan. With wit and clarity, they explore the Pythagorean theorem's journey from ancient Babylon to modern times, highlighting figures like Leonardo da Vinci, Albert Einstein, and even President James Garfield, as well as the enigmatic Pythagoras, who likely did not originate the theorem. The authors delve into the theorem's numerous proofs, which range from two hundred to possibly four thousand, and its extensive applications, from ancient Egyptian surveying to contemporary astronomical measurements. The theorem's generalizations are remarkable, applying to shapes beyond squares and extending into any number of dimensions, even infinity. One of its most fascinating aspects is how it led to the discovery of irrational numbers, a concept that unsettled Pythagoras's followers. Like the authors' previous works, this book makes the excitement of mathematics accessible and engaging, showcasing its beauty and complexity.

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Hidden Harmonies, Robert Kaplan

Langue
Année de publication
2011
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(rigide)
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Langue
Anglais
Éditeur
Bloomsbury
Publié
2011
Format
rigide
Pages
290
ISBN10
1596915226
ISBN13
9781596915220
Séries
Évaluation
3,6 sur 5
Description
A squared plus b squared equals c squared may seem simple, but it opens a vibrant world of mathematics, guided by acclaimed authors Robert and Ellen Kaplan. With wit and clarity, they explore the Pythagorean theorem's journey from ancient Babylon to modern times, highlighting figures like Leonardo da Vinci, Albert Einstein, and even President James Garfield, as well as the enigmatic Pythagoras, who likely did not originate the theorem. The authors delve into the theorem's numerous proofs, which range from two hundred to possibly four thousand, and its extensive applications, from ancient Egyptian surveying to contemporary astronomical measurements. The theorem's generalizations are remarkable, applying to shapes beyond squares and extending into any number of dimensions, even infinity. One of its most fascinating aspects is how it led to the discovery of irrational numbers, a concept that unsettled Pythagoras's followers. Like the authors' previous works, this book makes the excitement of mathematics accessible and engaging, showcasing its beauty and complexity.