Books Complex Analysis 5yt3v

Here is a list of few books dealing with complex analysis and related ideas. From time to time I may refer to some of them. I expect that you may find [10], [11], [37], [9] and [1] most useful for Mth 515. In addition I recommend you look at [31] which is an exceptionally interesting and entertaining book.

References [1] Mark J. Ablowitz and Athanassios S. Fokas, Complex variable. Introduction and applications, Cambridge University Press, Cambridge, New York, Melbourne, 1997. [2] Lars. V. Ahlfors, Complex analysis, 2nd ed., McGraw–Hill, New York, St. Louis, San Francisco, Toronto, London, Sydney, 1966. , Complex analysis, 3rd ed., McGraw–Hill, New York, 1979.

[3]

[4] Sheldon Axler, Paul Bourdon, and Wade Ramey, Harmonic function theory, Springer-Verlag, New York, Brlin, 1992, homelib. [5] Joseph Bak and Donald J. Newman, Complex analysis, 2nd ed., SpringerVerlag, New York, Berlin, Heidelbrg, 1997. [6] Carlos A. Berenstein and Roger Gay, Complex analysis and special topics in harmonic analysis, Springer-Verlag, New York, Berlin, Heidelberg, 1995. [7] Lipman Bers, Introduction to several complex variables. Lecture notes 1962–1963, Courant Institute of Mathematical Sciences. New York Univ., New York, 1964. [8] Ralph Philip Boas, Entire functions, Academic Press, New York, 1954. , Invitation to complex analysis, Random House, New York, 1987.

[9]

[10] John B. Conway, Functions of one complex variable, 2nd ed., Graduate Texts in Mathematics, vol. 11, Springer–Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, Hong Kong, Barcelona, 1978. [11] John Hamilton Curtiss, Introduction to functions of a complex variable, Marcel Dekker, New York, Basel, 1978. [12] Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice–Hall, Inc., Englewood Cliffs, N. J., 1965. [13] Maurice Heins, Selected topics in the classical theory of functions of a complex variable, Holt, Rinehart and Winston, New York, 1962. , Complex function theory, Academic Press, New York and London,

[14] 1968.

[15] Einar Hille, Analytic function theory, vol. 1, Ginn and Co., Boston, New York, Chicago, Atlanta, Dallas, Palo Alto, Toronto, London, 1959. [16]

, Analytic function theory, vol. 2, Ginn and Co., Boston, New York, Chicago, Atlanta, Dallas, Palo Alto, Toronto, 1962.

[17] Lars H¨ ormander, An introduction to complex analysis in several variables, D. van Nostrand Co., Inc., Princeton, New Jersey, Toronto, New York, London, 1966. [18] Aleksandar Ivi´c, The Riemann zeta–function. The theory of the riemann zeta–function with applications, John Wiley & Sons, New York, 1985. [19] Alan Jeffrey, Complex analysis and applications, CRC Press, Boca Raton, Ann Arbor, London, 1992. [20] Gareth A. Jones and David Singerman, Complex functions. An algebraic and geometric viewpoint, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney, 1987. [21] Konrad Knopp, Theory of functions, Part I, Dover Publ., New York, 1945 (Translated from German fifth ed. by Frederick Bagemihl). [22]

, Theory of functions, Part II, Dover Publ., New York, 1947 (Translated from German fourth ed. by Frederick Bagemihl).

[23]

, Problem book in the theory of functions, vol. 1, Dover Publ., New York, 1948 (Translated from German by Lipman Bers).

[24]

, Elements of the theory of functions, Dover Publ., New York, 1952 (Translated from German by Frederick Bagemihl).

[25]

, Problem book in the theory of functions, vol. 2, Dover Publ., New York, 1952 (Translated from German by Frederick Bagemihl).

[26] Steven G. Krantz, Function theory of several complex variables, John Wiley & Sons, New York, Chichester, Brisbane, Toronto, Singapore, 1982. [27] Norman Levinson and Raymond M. Redheffer, Complex variables, HoldenDay, Inc., San Francisco, Cambridge, London, Amsterdam, 1970. [28] John H. Mathews and Russell W. Howell, Complex analysis for mathematics and engineering, 3rd ed., Jones and Bartlett, Sudbury-Massachusetts, Boston, London, Singapore, 1997. [29] Raghavan Narasimhan, Several complex variable, University of Chicago Press, Chicago, London, 1971. [30] S. J. Patterson, An introduction to the theory of the Riemann zeta–function, Cambridge Univ. Press, Cambridge New York Melbourne, 1988.

[31] Reinhold Remmert, Theory of complex functions, Graduate Texts in Mathematics, Readings in Mathematics, vol. 122, Springer–Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, Hong Kong, 1991 (Translated from 2nd German edition of Funktionentheorie I , Grundwissen Mathematik, vol. 5, 1989). [32] Walter Rudin, Real and complex analysis, 2nd ed., McGraw-Hill, New York, St. Louis, San Francisco, 1974. [33] Georg˘ı Evgen’evich Shilov, Elementary real and complex analysis, The MIT Press, Cambridge, Massachusetts, London, England, 1973 (Translated from Russian and revised). [34] Kennan T. Smith, Power series from a computational point of view, Springer-Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, 1987. [35] E. C. Titchmarsh, The zeta–function of Riemann, Cambridge Tracts in Mathematics and Mathematical Physics, no. 26, Cambridge Univ. Press, London, 1930. , The theory of functions, Oxford Univ. Press, Oxford, 1932.

[36]

, The theory of functions, 2nd ed., Oxford Univ. Press, Oxford,

[37] 1939. [38]

, The theory of the Riemann zeta–function, Oxford Univ. Press, London, Glascow, New York, 1951.

[39] L. I. Volkovyskii, G. L. Lunts, and I. G. Aramanovich, A collection of problems on complex analysis, Dover Publications, Inc., New York, 1991 (Republication of Pergamon Press edition of 1965, translation of original Russian Fizmatgiz edition of 1960).