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Math 425: Partial Differential Equations | Spring 2011 |
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SOME REFERENCES
Our Text:
- Haberman, Richard, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th Edition 2012, Pearson/Prentice Hall, Publishers
Alternates
- J. David Logan, Applied Mathematics, Wiley-Interscience, 1987. A reasonable alternative text for this course.
- Tikhonov and Samarskii, Equations of Mathematical Physics, translated from the Russian, Pergamon Press, 1963. Reprinted by Dover Publications, 1990. [Includes some background on applications].
- Weinberger, H. L. A First Course in Partial Differential Equations: with Complex Variables and Transform Methods, Dover paperback (paperback reprinted from the 1965 edition); ISBN-13: 978-0486686400
- Murray, J. D., Mathematical Biology I: an Introduction Third Edition, Springer (2001)
________, Mathematical Biology II: Spacial models and Biomedical Applications Beautiful Examples.
- Strauss, Walter A., Partial differential equations: An Introduction, 2nd Edition, John Wiley (2007). This is the standard text for Math 425
- Carrier, G. F. and C. E. Pearson, Partial Differential Equations, Academic Press, 1976; Second edition, 1988. [Less theoretical than Strauss, aimed at people trying to solve practical problems.]
- DiBenedetto, E., Partial Differential Equations, Birkhauser, 1995.
- Evans, Lawrence C., Partial Differential Equations, in the series Graduate studies in mathematics, v. 19, American Math. Society, Second Edition, 2010. Standard text for a graduate math course.
- Friedrichs, K.O., Lecture Notes on Wave Propagatgation Classical 1951 Lecture Notes (scanned PDF, approx 12MB for each part)).
Part 1, Part 1I, Part 1II, Part 1V.
- John, F., Partial Differential Equations, 4th edition, Springer Applied Mathematics Series, 1982.
- McOwen, R., Partial Differential Equations: Methods and Applications, Prentice-Hall, 1996
- Renardy, Michael and Rogers, Robert C., An Introduction to Partial Differential Equations, New York: Springer-Verlag, 1993, Texts in Applied Mathematics; 13.