This brief monograph by a distinguished professor is based on a
mathematics course offered at the California Institute of Technology.
The majority of students taking this course were advanced undergraduates
and graduate students of engineering. A solid background in advanced
calculus is a prerequisite.
Topics include elementary and convergence theories of convolution
quotients, differential equations involving operator functions, and
exponential functions of operators. Tools developed in the preceding
chapters are then applied to problems in partial differential equations.
Solutions to selected problems appear at the end of the book.