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Books on Integral Equations

• Agarwal, R. P., O'Regan, D., and Wong, P. J. Y., Positive Solutions of Differential, Difference and Integral Equations, Springer-Verlag, New York, 1998.
• Atkinson, K. E., Numerical Solution of Integral Equations of the Second Kind, Cambridge Univ. Press, 1997.
• Bitsadze, A.V., Integral Equation of the First Kind, World Scientific Pub.Co., Singapore, 1995.
• Brunner, H., Collocation Methods for Volterra Integral and Related Functional Differential Equations, Cambridge University Press, 2004.
• Cochran, J. A., The Analysis of Linear Integral Equations, McGraw-Hill Book Co., New York, 1972.
• Colton, D. L. and Kress, R., Integral Equation Methods in Scattering Theory, John Wiley & Sons, New York, 1983 and 1992.
• Corduneanu, C., Integral Equations and Applications, Cambridge Univ. Press, Cambridge–New York, 1991.
• Delves, L. M. and Mohamed J. L., Computational Methods for Integral Equations, Cambridge Univ. Press, Cambridge–New York, 1985.
• Dzhuraev, A., Methods of Singular Integral Equations, J. Wiley, New York, 1992.
• Gakhov, F. D., Boundary Value Problems, Dover Publ., New York, 1990.
• Golberg, A. (Editor), Numerical Solution of Integral Equations, Plenum Press, New York, 1990.
• Gorenflo, R. and Vessella, S., Abel Integral Equations: Analysis and Applications, Springer-Verlag, Berlin, 1991.
• Gripenberg, G., Londen, S.-O., and Staffans, O., Volterra Integral and Functional Equations, Cambridge Univ. Press, Cambridge, 1990.
• Guenther, R. B. and Lee, J. W., Partial Differential Equations of Mathematical Physics and Integral Equations, Dover Publ., Mineola, 1996.
• Hackbusch, W., Integral Equations: Theory and Numerical Treatment, Birkhäuser Verlag, Boston, 1995.
• Jerry, A. J., Introduction to Integral Equations With Applications, 2nd edition, Wiley, 1999.
• Kanwal, R. P., Linear Integral Equations, Birkhäuser, Boston, 1997.
• Kondo, J., Integral Equations, Clarendon Press, Oxford, 1997.
• Krasnosel'skii, M. A., Topological Methods in the Theory of Nonlinear Integral Equations, Macmillan, New York, 1964.
• Krasnov, M. L., Kiselev, A. I., and Makarenko, G. I., Problems and Exercises in Integral Equations, Mir Publ., Moscow, 1971.
• Kress, R., Linear Integral Equations, 2nd edition, Springer-Verlag, New York, 1999.
• Kress, R., Numerical Analysis, Springer-Verlag, New York, 1998.
• K. Kythe, P. K. and Puri, P., Computational Methods for Linear Integral Equations, Birkhäuser, 2002.
• Ladopoulos, E. G., Singular Integral Equations: Linear and Non-Linear Theory and Its Applications in Science and Engineering, Springer Verlag, 2000.
• Lifanov, I. K., Singular Integral Equations and Discrete Vortices, VSP, Amsterdam, 1996.
• Lifanov, I. K., Poltavskii, L. N., and Vainikko, G., Hypersingular Integral Equations and Their Applications, Chapman & Hall / CRC Press, Boca Raton, 2004.
• Lovitt, W. V., Linear Integral Equations, Dover Publ., New York, 1950.
• Mandal B. N., Advances in Dual Integral Equations, Chapman & Hall / CRC Press, Boca Raton, 1998.
• Mikhlin, S. G., Linear Integral Equations, Hindustan Publ. Corp., Delhi, 1960.
• Mikhlin, S. G. and Prössdorf, S., Singular Integral Operators, Springer-Verlag, Berlin–New York, 1986.
• Mikhlin, S. G. and Smolitskiy K. L., Approximate Methods for Solution of Differential and Integral Equations, American Elsevier Publ. Co., New York, 1967.
• Muskhelishvili N. I., Singular Integral Equations: Boundary Problems of Function Theory and Their Applications to Mathematical Physics, Dover Publ., New York, 1992.
• Petrovskii, I. G., Lectures on the Theory of Integral Equations, Graylock Press, Rochester, 1957.
• Pipkin, A. C., A Course on Integral Equations, Springer-Verlag, New York, 1991.
• Polyanin, A. D. and Manzhirov, A. V., Handbook of Integral Equations, 2nd Edition, Chapman & Hall/CRC Press, Boca Raton, 2008.
• Polyanin, A. D. and Manzhirov, A. V., Handbook of Mathematics for Engineers and Scientists (Chapters 16 and T11), Chapman & Hall/CRC Press, Boca Raton, 2006.
• Polyanin, A. D. and Manzhirov, A. V., Handbuch der Integralgleichungen, Spektrum Akad. Verlag, Heidelberg, 1999.
• Porter, D. and Stirling, D. S. G., Integral Equations: A Practical Treatment, from Spectral Theory to Applications, Cambridge Univ. Press, Cambridge, 1990.
• Precup, R., Methods in Nonlinear Integral Equations, Kluwer Acad. Publ., Dordrecht, 2002.
• Prössdorf, S. and Silbermann, B., Numerical Analysis for Integral and Related Operator Equations, Birkhäuser Verlag, Basel, 1991.
• Prudnikov, A. P., Brychkov, Yu. A., and Marichev, O. I., Integrals and Series, Vol. 5, Inverse Laplace Transforms, Gordon & Breach Sci. Publ., New York, 1992.
• Sakhnovich, L. A., Integral Equations With Difference Kernels on Finite Intervals, Birkhäuser Verlag, Basel–Boston, 1996.
• Samko, S. G., Kilbas, A. A., and Marichev, O. I., Fractional Integrals and Derivatives. Theory and Applications, Gordon & Breach Sci. Publ., New York, 1993.
• Sumbatyan, M. A. and Scalia, A., Equations of Mathematical Diffraction Theory, Chapman & Hall / CRC Press, Boca Raton, 2004.
• Tricomi, F. G., Integral Equations, Dover Publ., New York, 1985.
• Volterra, V., Theory of Functionals and of Integral and Integro-Differential Equations, Dover Publ., New York, 1959.
• Zabreyko, P. P., Koshelev, A. I., et al., Integral Equations: A Reference Text, Noordhoff Int. Publ., Leyden, 1975.