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Music by the Numbers: From Pythagoras to Schoenberg [Mīkstie vāki]

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  • Formāts: Paperback / softback, 176 pages, height x width: 216x140 mm, 43 b/w illus.
  • Izdošanas datums: 10-Mar-2020
  • Izdevniecība: Princeton University Press
  • ISBN-10: 0691202966
  • ISBN-13: 9780691202969
Citas grāmatas par šo tēmu:
  • Mīkstie vāki
  • Cena: 20,86 €
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  • Formāts: Paperback / softback, 176 pages, height x width: 216x140 mm, 43 b/w illus.
  • Izdošanas datums: 10-Mar-2020
  • Izdevniecība: Princeton University Press
  • ISBN-10: 0691202966
  • ISBN-13: 9780691202969
Citas grāmatas par šo tēmu:

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 Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen wrote music explicitly based on mathematical principles. Yet Eli Maor argues that it is music that has had the greater influence on mathematics, not the other way around. Starting with Pythagoras, proceeding through Schoenberg, and bringing the story up to the present with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who have played a role in the age-old relationship between music, mathematics, and the physical sciences. Weaving compelling stories of historical episodes with Maor's personal reflections as a mathematician and lover of classical music, this book will delight anyone who loves math and music.

Preface ix
1 Prologue: A World in Crisis
1(12)
2 String Theory, 500 BCE
13(11)
Sidebar A It's All about Nomenclature
22(2)
3 Enlightenment
24(14)
4 The Great String Debate, 1730-1780
38(17)
Sidebar B The Slinky
52(3)
5 A Most Precious Gift
55(15)
6 Musical Temperament
70(12)
Sidebar C Music for the Record Books: The Lowest, the Longest, the Oldest, and the Weirdest
78(4)
7 Musical Gadgets: The Tuning Fork and the Metronome
82(9)
8 Rhythm, Meter, and Metric
91(8)
9 Frames of Reference: Where Am I?
99(21)
Sidebar D Musical Hierarchies
116(4)
10 Relativistic Music
120(10)
11 Aftermath
130(12)
Sidebar E The Bernoulli
138(4)
12 The Last Pythagoreans
142(5)
Bibliography 147(2)
Illustration Credits 149(2)
Index 151
Eli Maor is a former professor of the history of mathematics at Loyola University Chicago. His books include the internationally acclaimed To Infinity and Beyond, e: The Story of a Number, Trigonometric Delights, and The Pythagorean Theorem: A 4,000-Year History (all Princeton).