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2 - Fourier theory

Published online by Cambridge University Press:  05 March 2013

Dave Benson
Affiliation:
University of Aberdeen
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Summary

To be sung to the tune of Gilbert and Sullivan's Modern Major General:

I am the very model of a genius mathematical,

For I can do mechanics, both dynamical and statical,

Or integrate a function round a contour in the complex plane,

Yes, even if it goes off to infinity and back again;

Oh, I know when a detailed proof's required and when a guess'll do

I know about the functions of Laguerre and those of Bessel too,

I've finished every tripos question back to 1948;

There ain't a function you can name that I can't differentiate!

There ain't a function you can name that he can't differentiate [Tris]

I've read the text books and I can extremely quickly tell you where

To look to find Green's Theorem or the Principle of d'Alembert

Or I can work out Bayes' rule when the loss is not Quadratical

In short I am the model of a genius mathematical!

For he can work out Bayes' rule when the loss is not Quadratical

In short he is the model of a genius mathematical!

Oh, I can tell in seconds if a graph is Hamiltonian,

And I can tell you if a proof of 4CC's a phoney 'un

I read up all the journals and I'm ready with the latest news,

And very good advice about the Part II lectures you should choose.

Oh, I can do numerical analysis without a pause,

Or comment on the far-reaching significance of Newton's laws

I know when polynomials are soluble by radicals,

And I can reel off simple groups, especially sporadicals. […]

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2006

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  • Fourier theory
  • Dave Benson, University of Aberdeen
  • Book: Music: A Mathematical Offering
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511811722.004
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Fourier theory
  • Dave Benson, University of Aberdeen
  • Book: Music: A Mathematical Offering
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511811722.004
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Fourier theory
  • Dave Benson, University of Aberdeen
  • Book: Music: A Mathematical Offering
  • Online publication: 05 March 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9780511811722.004
Available formats
×