There is no required textbook for this course. A list of a few recommended textbooks can be found below.

## Textbooks in Applied Mathematics and Applications

Whitham, G. B. *Linear and Nonlinear Waves*. New York, NY: Wiley, 1999. ISBN: 9780471359425.

Kevorkian, J. *Partial Differential Equations: Analytical Solution Techniques*. Texts in Applied Mathematics, vol. 35. 2nd ed. New York, NY: Springer, 2000. ISBN: 9780387986050.

Hinch, E. J. *Perturbation Methods*. Cambridge Texts in Applied Mathematics. Cambridge, UK: Cambridge University Press, 1991. ISBN: 9780521378970.

Guenther, Ronald B., and John W. Lee. *Partial Differential Equations of Mathematical Physics and Integral Equations*. New York, NY: Dover Publications, 1996. ISBN: 9780486688893.

## Other Textbooks at a Similar Level

Debnath, Lokenath. *Nonlinear Partial Differential Equations for Scientists and Engineers*. Boston, MA: Birkhäuser, 1997. ISBN: 9780817639020.

Carrier, George F., and Carl E. Pearson. *Partial Differential Equations: Theory and Technique*. 2nd ed. Boston, MA: Academic Press, 1988. ISBN: 9780121604516.

Barenblatt, G. I. *Scaling, Self-Similarity, and Intermediate Asymptotics*. Cambridge Texts in Applied Mathematics, vol. 14. Cambridge, UK: Cambridge University Press, 1996. ISBN: 9780521435222.

Levine, Harold. *Partial Differential Equations*. AMS/IP Studies in Advanced Mathematics, vol. 6. Providence, RI: American Mathematical Society, 1997. ISBN: 9780821807750.

Drazin, P. G., and R. S. Johnson. *Solitons: An Introduction*. Cambridge Texts in Applied Mathematics. Cambridge, UK: Cambridge University Press, 1989. ISBN: 9780521336550.

## Books with More Emphasis on Rigorous Mathematical Theory

Evans, Lawrence C. *Partial Differential Equations*. Graduate Studies in Mathematics, vol. 19. Providence, RI: American Mathematical Society, 1998. ISBN: 9780821807729.

DiBenedetto, Emmanuele. *Partial Differential Equations*. Boston, MA: Birkhäuser, 1995. ISBN: 9780817637088.

Garabedian, Paul. *Partial Differential Equations*. Providence, RI: AMS Chelsea, 1998. ISBN: 9780821813775.