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Hearing the shape of a drum
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Details
To hear the shape of a drum is to infer information about the shape of the drumhead from the sound it makes, i.e., from the list of basic harmonics, via the use of mathematical theory. "Can One Hear the Shape of a Drum?" was the witty title of an article by Mark Kac in the American Mathematical Monthly 1966 (see the references below), but these questions can be traced back all the way to Hermann Weyl.The frequencies at which a drumhead can vibrate depend on its shape. Known mathematical formulas tell us the frequencies if we know the shape. A central question is: can they tell us the shape if we know the frequencies? No other shape than a square vibrates at the same frequencies as a square. Is it possible for two different shapes to yield the same set of frequencies? Kac did not know the answer to that question
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130270025
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2009
- EAN 9786130270025
- Format Fachbuch
- ISBN 978-613-0-27002-5
- Titel Hearing the shape of a drum
- Untertitel Hearing the shape of a drum, Drumhead, Harmonic series (music), Mathematics, American Mathematical Monthly, Hermann Weyl, Mark Kac, Helmholtz equation
- Gewicht 142g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 84
- Genre Musik
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