Summary: Mathematics 211A
Instructor: Professor R. Alperin; Office: Duncan 239; Telephone: 924-5066;
Text: Projective Geometry by P. Samuel, Springer-Verlag
Course: Projective Geometry
The main goal of this course is to introduce the students to the ideas of
projective geometry, transformations and relations to conics. This is founda-
tional material useful for the modern study of varieties, for example. Moreover,
methods of projective geometry are important in understanding other impor-
tant geometries and related combinatorial structures, and also algorithms used
in computer graphics.
There will be a second semester of this course which will cover the parts
of the text not covered in this first semester and also other aspects related
to algebraic curves, especially cubic and quartic curves. Curves have been
extremely useful in modern aspects of error correcting codes, besides being
fascinating geometrical quantities.
Your final grade is based on the point total on two (take home) tests and
homework. Homework will be assigned each class. Students must prepare a
notebook of homework assignments which will be collected as announced.