A Gallery of Algebraic Surfaces
نویسنده
چکیده
The notion of a surface is a very classical one in technology, art and the natural sciences. Just to name a few examples, the roof of a building, the body of string instrument and the front of a wave are all, at least in idealized form, surfaces. In mathematics their use is very old and very well developed. A very special class of (mathematical surfaces), given by particularly nice equations, are the algebraic surfaces, the topic of this lecture. With modern software, one can make beautiful images of algebraic surfaces, which allow us to visualize important mathematical notions; explaining this is the object of this talk. Several years ago I started to make pictures of algebraic surfaces. Originally I was involved in an openday at the University of Kaiserslautern, and the pictures were an attempt to motivate youngsters in getting interested in mathematics. Later I made a gallery of these pictures for the Web, which is located at:
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