This book is the result of a sequence of two courses given in the School of Applied
and Engineering Physics at Cornell University. The intent of these courses has been
to cover a number of intermediate and advanced topics in applied mathematics that
are needed by science and engineering majors. The courses were originally designed
for junior level undergraduates enrolled in Applied Physics, but over the years they
have attracted students from the other engineering departments, as well as physics,
chemistry, astronomy and biophysics students. Course enrollment has also expanded
to include freshman and sophomores with advanced placement and graduate students
whose math background has needed some reinforcement.