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Preface

“It is impossible to exaggerate the extent to which modern
applied mathematics has been shaped and fueled by the gen-
eral availability of fast computers with large memories. Their
impact on mathematics, both applied and pure, is comparable
to the role of the telescopes in astronomy and microscopes in
biology.”

— Peter Lax, Siam Rev. Vol. 31 No. 4

Congratulations! You have chosen to study partial differential equations.
That decision is a wise one; the laws of nature are written in the language
of partial differential equations. Therefore, these equations arise as models
in virtually all branches of science and technology. Our goal in this book
is to help you to understand what this vast subject is about. The book is
an introduction to the field. We assume only that you are familiar with ba-
sic calculus and elementary linear algebra. Some experience with ordinary
differential equations would also be an advantage.
Introductory courses in partial differential equations are given all over
the world in various forms. The traditional approach to the subject is to
introduce a number of analytical techniques, enabling the student to de-
rive exact solutions of some simplified problems. Students who learn about