Maths Books

Books on Complex Analysis

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Books on Geometric Function Theory

• Duren, Peter L. Univalent functions. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 259. Springer-Verlag, New York, 1983. xiv+382 pp. ISBN: 0-387-90795-5 MR0708494 

• Duren, Peter. Harmonic mappings in the plane. Cambridge Tracts in Mathematics, 156. Cambridge University Press, Cambridge, 2004. xii+212 pp. ISBN: 0-521-64121-7 MR2048384 

• Goluzin, G. M. Geometric theory of functions of a complex variable. Translations of Mathematical Monographs, Vol. 26 American Mathematical Society, Providence, R.I. 1969  vi+676 pp. MR0247039 

• Goodman, A. W. Univalent functions. Vol. I. Mariner Publishing Co., Inc., Tampa, FL, 1983. {\rm xvii}+246 pp. ISBN: 0-936166-10-X MR0704183 

• Goodman, A. W. Univalent functions. Vol. II. Mariner Publishing Co., Inc., Tampa, FL, 1983. {\rm xii}+311 pp. ISBN: 0-936166-11-8 MR0704184 

• Graham, Ian; Kohr, Gabriela. Geometric function theory in one and higher dimensions. Monographs and Textbooks in Pure and Applied Mathematics, 255. Marcel Dekker, Inc., New York, 2003. xviii+530 pp. ISBN: 0-8247-0976-4 MR2017933 

• Hallenbeck, D. J.; MacGregor, T. H. Linear problems and convexity techniques in geometric function theory. Monographs and Studies in Mathematics, 22. Pitman (Advanced Publishing Program), Boston, MA, 1984. {\rm xvii}+182 pp. ISBN: 0-273-08637-5 MR0768747 

• Hayman, W. K. Research problems in function theory. The Athlone Press [University of London], London, 1967 vii+56 pp. MR0217268 

• Krantz, Steven G. Geometric function theory. Explorations in complex analysis. Cornerstones. Birkhäuser Boston, Inc., Boston, MA, 2006. xiv+314 pp. ISBN: 978-0-8176-4339-3; 0-8176-4339-7 MR2167675 

• Miller, Sanford S.; Mocanu, Petru T. Differential subordinations. Theory and applications. Monographs and Textbooks in Pure and Applied Mathematics, 225. Marcel Dekker, Inc., New York, 2000. xii+459 pp. ISBN: 0-8247-0029-5 MR1760285 

• Pommerenke, Christian. Univalent functions. With a chapter on quadratic differentials by Gerd Jensen. Studia Mathematica/Mathematische Lehrbucher, Band XXV. Vandenhoeck & Ruprecht, Gottingen, 1975. 376 pp. MR0507768 

• Rosenblum, Marvin; Rovnyak, James. Topics in Hardy classes and univalent functions. Birkhauser Advanced Texts: Basler Lehrbucher. [Birkhauser Advanced Texts: Basel Textbooks] Birkhauser Verlag, Basel, 1994. {\rm xii}+250 pp. ISBN: 3-7643-5111-X MR1307384 

• Ruscheweyh, Stephan. Convolutions in geometric function theory. Fundamental Theories of Physics. Seminaire de Mathematiques Superieures [Seminar on Higher Mathematics], 83. Presses de l'Universite de Montreal, Montreal, Que., 1982. 168 pp. ISBN: 2-7606-0600-7 MR0674296