Yes there are SVM libraries.
Bing search of "libsvm csharp" gives over 10,000 results (how many are useful?).
There are SVM implementations for use in .NET applications.
I suspect there are examples on using them.
If you really want to learn about Machine Learning and Classification systems, check out the
Free, introductory Machine Learning online course from Caltech![
^]
It won't give you the code, but you'll learn
lots about how to do it yourself!
If you try taking the course, I suggest using
Octave (a free Matlab-compatible system)[
^] for
practicing and homework.
SVM
is covered in this course.
You probably want some of the ML background before digging into SVM. There's a reason it isn't near the beginning of the telecourse from Caltech! (My alma mater!)
Good luck.