This is a set of lecture notes for a short course on Approximation Theory that I have offered several times to graduate students at Bowling Green State University, Bowling Green, Ohio. In its first few incarnations, I used T. J. Rivlin's An Introduction to the Approximation of Functions, Dover, 1981, as a supplementary text. In recent years, I've tried to make the notes self-contained, although there are still plenty of references to Rivlin (and other texts).

The course is intended as a survey of elementary techniques in
Approximation Theory for **novices** and
**non-experts**. Experts in the field seeking
new, original, or research topics should look elsewhere.
*This is strictly for beginners!*

**Prerequisites** for a thorough understanding
of the course include:

- A first course in advanced calculus or real analysis (pointwise and uniform convergence, compactness, etc.).
- A rudimentary knowledge of normed spaces and completeness.
- A course in linear algebra.

The notes are available here in pdf format. The file is roughly 784Kb and the printed version is 159 pages.

Neal L. Carothers