There are several good undergraduate level textbooks on partial differential equations. The text recommended for this course is
D. Bleecker and G. Csordas, Basic Partial Differential Equations, International Press, 1997 (ISBN-13: 978-1571460363)
Note however that this optional textbook is primarily a supplement to my lectures, as I will not follow it closely. Here are a few other texts that can be used as guides or sources of further examples and problems:
W. Strauss, Partial Differential Equations: An Introduction, 2nd edition, Wiley, 2007 (ISBN-13: 978-0470054567)
D. Powers, Boundary Value Problems and Partial Differential
Equations, 6th edition, Academic Press, 2009 (ISBN-13: 978-0123747198)
J. Brown and R. Churchill, Fourier Series and Boundary
Value Problems, 8th edition, McGraw-Hill, 2011 (ISBN-13: 978-0078035975)
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