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Our understanding of the fundamental processes of the natural world
is based to a large extent on partial differential equations
(PDEs). The second edition of Partial Differential
Equations provides an introduction to the basic properties
of PDEs and the ideas and techniques that have proven useful
in analyzing them. It provides the student a broad
perspective on the subject, illustrates the incredibly rich variety
of phenomena encompassed by it, and imparts a working knowledge of
the most important techniques of analysis of the solutions of the
equations.
In this book mathematical jargon is minimized. Our focus
is on the three most classical PDEs: the wave, heat and Laplace
equations. Advanced concepts are introduced frequently but
with the least possible technicalities. The book is flexibly
designed for juniors, seniors or beginning graduate students in
science, engineering or mathematics.