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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.
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