This recommendation was provided by Dr. Jürgen Gerhard, a colleague of mine at Maplesoft and coauthor of the book Modern Computer Algebra. He felt that Göttingen was definitely a center for German mathematics and science and well worth the visit if you are mathematically inclined.

The city is located virtually in the geographic center of the country (in the state of Lower Saxony). So whether you're visiting Munich, Cologne, Berlin, or Frankfurt, it should be very easy for you to drop by.
This web page has some nice pics and descriptions of some of the mathematical and scientific connections to the city. Names such as Gauss, Hilbert, Klein, Reimann, among others, jump out. As I have not been there myself, so I can't offer personal commentary ... but I trust Jürgen's recommendation. General tourism info on the city can be obtained at Göttingen main info site.
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