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Listening to the shape of a drum

1. The mathematics of vibrating drums

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Abstract

A drum vibrates at distinct frequencies. These frequencies are related to the eigenvalues of a differential operator called the Laplacian. Mathematicians are interested in knowing how much geometric information about the domain (the surface of the drum) can be retrieved from the eigenvalues.

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Suggested Reading

  1. R Bhatia.Fourier Series. TRIM series, Hindustan Book Agency.

  2. K H Paranjape. Geometry.Resonance. Vol. l.No.6.June, 1996.

  3. I Sneddon.Elements of Partial Differential Equations. International student. Edition, McGraw-Hill Kogakusha.

  4. S Thangavelu. Fourier Series.Resonance. Vol.1. No.10. October, 1996.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, CIT Campus, Taramani, 600113, Chennai

    S. Kesavan

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  1. S. Kesavan
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Correspondence to S. Kesavan.

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Kesavan, S. Listening to the shape of a drum. Reson 3, 26–34 (1998). https://doi.org/10.1007/BF02836078

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  • DOI: https://doi.org/10.1007/BF02836078

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