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The Music of the Primes (British subtitle: Why an Unsolved Problem in Mathematics Matters; American subtitle: Searching to Solve the Greatest Mystery in Mathematics) is a 2003 book by Marcus du Sautoy, a professor in mathematics at the University of Oxford, on the history of prime number theory. In particular he examines the Riemann hypothesis ...
- Marcus du Sautoy
- 2003
- Riemann's Symphony
- Shapes and Sounds
- Riemann's Harmonics
- Revolutionary Imaginings
- A Pattern Emerges
But it isn't just aesthetic similarities that are shared by mathematics and music. Riemann discovered that the physics of music was the key to unlocking the secrets of the primes. He discovered a mysterious harmonic structure that would explain how Gauss's prime number dice actually landed when Nature chose the primes. Riemann was very shy as a sch...
The key to understanding Riemann's ideas is to explore why a tuning fork, a violin and a clarinet sound very different, even when they are all playing an A, say. The graph of the sound wave of the tuning fork looks like a perfect sine wave. In contrast, the sound of the violin playing the same note looks like the teeth on a saw, a much more jagged ...
What Riemann discovered was that Gauss's graph is like the fundamental note played by an instrument, but that there are special harmonic waves that, when added to this graph, gradually change it into the true graph or "sound" of the primes, just as the harmonics of the clarinet change the sine wave into the square wave. To the right is an animation...
But where on earth had Riemann found these strange prime number harmonics which corrected Gauss's guess into the true sound of the primes? Well, he was actually messing about with an exciting new subject that was emerging out of the French Revolution: the new world of imaginary numbers. For years people could not accept that a negative number might...
The points at sea-level could have been scattered randomly around Riemann's map. But when he plotted some of these points, a remarkable pattern emerged. The points at sea-level were all lined up: the east-west coordinate was the same for every point. This meant all the harmonics were playing in perfect balance. As the music evolved, each harmonic w...
14 de ago. de 2012 · The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics. Paperback – August 14, 2012. Inthe tradition of Fermat’s Enigma and Pi, Marcus du Sautoy tells the illuminating, authoritative, and engagingstory of Bernhard Reimann and the ongoing quest tocapture the holy grail of mathematics—the formula to ...
- (492)
- Marcus du Sautoy
- $15.99
- Harper Perennial
19 de jan. de 2012 · The music of the primes : searching to solve the greatest mystery in mathematics : Du Sautoy, Marcus : Free Download, Borrow, and Streaming : Internet Archive. by. Du Sautoy, Marcus. Publication date. 2003. Topics.
27 de abr. de 2004 · The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics. Paperback – April 27, 2004. In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change the history of mathematics. The subject was the mystery of prime numbers.
- (494)
- Marcus du Sautoy
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27 de abr. de 2004 · The Music of the Primes. : Marcus du Sautoy. Harper Collins, Apr 27, 2004 - Mathematics - 335 pages. In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that...
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