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Books on Linear Partial Differential Equations (Equations of Mathematical Physics)

• Akulenko, L. D. and Nesterov, S. V., High Precision Methods in Eigenvalue Problems and their Applications, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Arnold, V. I., Lectures on Partial Differential Equations, Springer-Verlag, Berlin, 2004.
• Articolo, G. A., Partial Differential Equations and Boundary Value Problems with Maple V, Academic Press, San Diego, 1998.
• Beck J. V., Cole, K. D., Haji-Sheikh, A., and Litkouhl, B., Heat Conduction Using Green's Function, 2nd Edition, CRC Press, Boca Raton, 2010.
• Butkov, E., Mathematical Physics, Addison-Wesley, Reading, Mass., 1968.
• Butkovskiy, A. G., Green's Functions and Transfer Functions Handbook, Halstead Press–John Wiley & Sons, New York, 1982.
• Cap, F. F., Mathematical Methods in Physics and Engineering with Mathematica, Chapman & Hall/CRC Press, Boca Raton, 2003.
• Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids, Clarendon Press, Oxford, 1984.
• Coleman, M. P., An Introduction to Partial Differential Equations with MATLAB, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Colton, D., Partial Differential Equations. An Introduction, Random House, New York, 1988.
• Constanda, C., Solution Techniques for Elementary Partial Differential Equations, Chapman & Hall/CRC Press, Boca Raton, 2002.
• Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vols 1 and 2, Wiley–Interscience Publ., New York, 1989.
• Crank, J., The Mathematics of Diffusion, Clarendon Press, Oxford, 1975.
• Dezin, A. A., Partial Differential Equations. An Introduction to a General Theory of Linear Boundary Value Problems, Springer-Verlag, Berlin, 1987.
• Duffy, D. G., Transform Methods for Solving Partial Differential Equations, Second Edition, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Farlow, S. J., Partial Differential Equations for Scientists and Engineers, John Wiley & Sons, New York, 1982.
• Finlayson, B. A., The Method of Weighted Residuals and Variational Principles, Academic Press, New York, 1972.
• Guenther, R. B. and Lee, J. W., Partial Differential Equations of Mathematical Physics and Integral Equations, Dover Publ., Mineola, 1996.
• Haberman, R., Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, Prentice-Hall, Englewood Cliffs, 1987.
• Hörmander, L., The Analysis of Linear Partial Differential Operators. II. Differential Operators with Constant Coefficients, Springer-Verlag, Berlin–New York, 1983.
• Hörmander, L., The Analysis of Linear Partial Differential Operators. I. Distribution Theory and Fourier Analysis, Springer-Verlag, Berlin, 1990.
• John, F., Partial Differential Equations, Springer-Verlag, New York, 1982.
• Kythe, P. K., Puri, P., and Schaferkotter, M. R., Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition, Chapman & Hall/CRC Press, Boca Raton, 2003.
• Lee, H.J. and Schiesser, W.E., Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB, Chapman & Hall/CRC Press, Boca Raton, 2004.
• Leis, R., Initial-Boundary Value Problems in Mathematical Physics, John Wiley & Sons, Chichester, 1986.
• Mackie, A. G., Boundary Value Problems, Scottish Academic Press, Edinburgh, 1989.
• Miller, W. (Jr.), Symmetry and Separation of Variables, Addison-Wesley, London, 1977.
• Moon, P. and Spencer, D. E., Field Theory Handbook, including Coordinate Systems, Differential Equations and their Solutions, 3rd Edition, Springer-Verlag, Berlin, 1988.
• Morse, P. M. and Feshbach, H., Methods of Theoretical Physics, Vols. 1–2, McGraw-Hill, New York, 1953.
• Myint-U, T. and Debnath, L., Partial Differential Equations for Scientists and Engineers, North-Holland Publ., New York, 1987.
• Nazaykinskiy, V. E., Schulze, B.-W., and Sternin, B. Yu., Quantization Methods in the Theory of Differential Equations, Chapman & Hall/CRC Press, Boca Raton, 2002.
• Nikiforov, A. F. and Uvarov, V. B., Special Functions of Mathematical Physics. A Unified Introduction with Applications, Birkhäuser Verlag, Basel-Boston, 1988.
• Petrovsky, I. G., Lectures on Partial Differential Equations, Dover Publ., New York, 1991.
• Pinsky, M. A., Introduction to Partial Differential Equations with Applications, McGraw-Hill, New York, 1984.
• Polyanin, A. D., Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman & Hall/CRC Press, Boca Raton, 2002.
• Polyanin, A. D. and Manzhirov, A. V., Handbook of Mathematics for Engineers and Scientists (Chapters 14 and T8), Chapman & Hall/CRC Press, Boca Raton, 2006.
• Seremet, V. D., Handbook of Green's Functions and Matrices, WIT Press, Boston, 2003.
• Sneddon, I. N., Fourier Transformations, Dover Publ., New York, 1995.
• Stakgold, I., Green's Functions and Boundary Value Problems, Second Edition, Wiley–Interscience, New York, 1998.
• Stakgold, I., Boundary Value Problems of Mathematical Physics, Vols. 1 and 2, SIAM, Philadelphia, 2000.
• Strauss, W. A., Partial Differential Equations. An Introduction, John Wiley & Sons, New York, 1992.
• Taylor, M., Partial Differential Equations, Springer-Verlag, New York, 1996.
• Temme, N. M., Special Functions. An Introduction to the Classical Functions of Mathematical Physics, Wiley–Interscience Publ., New York, 1996.
• Tikhonov, A. N. and Samarskii, A. A., Equations of Mathematical Physics, Dover Publ., New York, 1990.
• Vvedensky, D., Partial Differential Equations, Addison-Wesley, Wakingham, 1993.
• Zachmanoglou, E. C. and Thoe, D. W., Introduction to Partial Differential Equations with Applications, Dover Publ., New York, 1986.
• Zauderer, E., Partial Differential Equations of Applied Mathematics, Wiley–Interscience Publ., New York, 1989.
• Zwillinger, D., Handbook of Differential Equations, 3rd ed., Academic Press, Boston, 1997.