This book offers a self-contained introduction to partial differential
equations (PDEs), primarily focusing on linear equations, and also
providing perspective on nonlinear equations. The treatment is
mathematically rigorous with a generally theoretical layout, with
indications to some of the physical origins of PDEs. The Second Edition
is rewritten to incorporate years of classroom feedback, to correct
errors and to improve clarity. The exposition offers many examples,
problems and solutions to enhance understanding. Requiring only advanced
differential calculus and some basic Lp theory, the book will
appeal to advanced undergraduates and graduate students, and to applied
mathematicians and mathematical physicists.