In Pursuit of the Unknown

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Our ears detect waves of compression in the air: we call this ‘hearing’. Our eyes detect waves of electromagnetic radiation: we call this ‘seeing’. When an earthquake hits a town or a city, the destruction is caused by waves in the solid body of the Earth. When a ship bobs up and down on the ocean, it is reacting to waves in the water. Surfers use ocean waves for recreation; radio, television, and large parts of the mobile telephone network use waves of electromagnetic radiation, similar to thos...e that we see by, but of differing wavelengths. Microwave ovens . . . well, the name gives it away, doesn’t it?
With so many practical instances of waves impinging on daily life, even centuries ago, the mathematicians who decided to follow up Newton’s epic discovery that nature has laws could hardly fail to start thinking about waves. What got them started, though, came from the arts: specifically, music. How does a violin string create sound? What does it do?
There was a reason for starting with violins, the kind of reason that appeals to mathematicians, though not to governments or businessmen considering investing in mathematicians and expecting a quick payback.


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