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Music by the Numbers : From Pythagoras to Schoenberg - Eli Maor

Music by the Numbers

From Pythagoras to Schoenberg

By: Eli Maor

Hardcover Published: 1st May 2018
ISBN: 9780691176901
Number Of Pages: 176

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How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century

Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music.

Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics.

Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system. Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.

About the Author

Eli Maor is a former professor of the history of mathematics at Loyola University Chicago. He is the author of seven previous books, including the internationally acclaimed To Infinity and Beyond, e: The Story of a Number, Trigonometric Delights, and The Pythagorean Theorem: A 4,000-Year History.

Industry Reviews

"[Music by the Numbers] is enjoyable and readable"---Owen Toller, Mathematical Gazette
"The prolific author Eli Maor has released yet another very readable and enjoyable book on the history of mathematics from Princeton University Press. . . . As with all of Maor's books, this one belongs in your library so that leading students can learn about unknowns like Joseph Sauveur in the fascinating story of how mathematics and music intersect."---Karl-Dieter Crisman, MAA Reviews
"For anyone who ponders the role mathematics has in music, this short and delightful book is a joy to read from cover to cover. It is full of anecdotes and interesting facts and, being by Eli Maor is intensely readable."---Phil Dyke, Leonardo Reviews
"In this intriguing study, maths historian Eli Maor traces those echoes, along with the trajectories of the 'scientists, inventors, composers, and occasional eccentrics' behind them."---Barbara Kiser, Nature
"This is a fascinating study of the reciprocal relationship between music and mathematics in the West."---David Lorimer, Paradigm Explorer
"Maor is an experienced storyteller. His mixture of musical, mathematical, and physical history, enriched with personal experiences and some unexpected links and bridges are nice reading for anybody with a slight interest in music and science. No mathematical training required."---Adhemar Bultheel, European Mathematical Society

Preface - ix

1. Prologue: A World in Crisis - 1
2. String Theory, 500 BCE - 13
Sidebar A. It's All About Nomenclature - 22
3. Enlightenment - 24
4. The Great String Debate, 1730-1780 - 38
Sidebar B. The Slinky - 52
5. A Most Precious Gift - 55
6. Musical Temperament - 70
Sidebar C. Music for the Record Books: The Lowest, the Longest, the Oldest, and the Weirdest - 78
7. Musical Gadgets: The Tuning Fork and the Metronome - 82
8. Rhythm, Meter and Metric - 91
9. Frames of Reference: Where Am I? - 99
Sidebar D. Musical Hierarchies - 116
10. Relativistic Music - 120
11. Aftermath - 130
Sidebar E. The Bernoulli - 138
12. The Last Pythagoreans - 142

Bibliography - 147
Illustration Credits - 149
Index - 151

ISBN: 9780691176901
ISBN-10: 0691176906
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 176
Published: 1st May 2018
Publisher: Princeton University Press
Country of Publication: US
Dimensions (cm): 21.6 x 14.0  x 1.27
Weight (kg): 0.43
Edition Number: 1

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