INTRODUCTION TO APPLIED MATHEMATICS
"I've never written a review before, and probably never will again. But
I had to do something to help publicize this fantastic book. I would
give it 6 stars if I could.... In short, Strang's book is an elegant
masterpiece. As a former college math major and current University
science professor who uses computation daily in research, this is the
best general "applied math" book I've ever seen. I highly recommend it
to every graduate student and postdoc who passes through my lab. It is
not a textbook in the usual sense, and is thus very different from
Strang's much more widely known linear algebra texts. The level of the
book is very mixed; parts are very elementary, and other sections
really require advanced graduate background to fully comprehend. The
book is "modern" in every sense, full of opinions and marvelous
insights, and even very witty in places. As one example, the book
completely skips the series solutions to the diffusion equation (about
which most "applied math" books drone on for far too many pages) and
cuts right to the Gaussian kernel solution. The discussion of Fourier
analysis is fresh and excellent. The grouping of many ideas under the
umbrella of "approach to equilibrium" and "minimum principles" is a
superior organization. There are many other modernisms like
these.... too many to count. Just from reading the preface, you can
tell that this book was a labor of love for Strang, and it needs to be
taken as such. Do not buy this book to cram for an exam -- buy it, and
refer back to it often, to really learn modern applied math."
---From a review on amazon.com, Jay Ponder, St. Louis, Missouri