Functions of a Complex Variable
by Thomas S. Fiske
Publisher: John Wiley & sons 1907
Number of pages: 122
In the following pages is contained a brief introductory account of some of the more fundamental portions of the theory of functions of a complex variable. It is hoped that the present work will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.
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by M. Deuring - Tata Institute of Fundamental Research
We shall be dealing in these lectures with the algebraic aspects of the theory of algebraic functions of one variable. Since an algebraic function w(z) is defined by f(z,w)=0, the study of such functions should be possible by algebraic methods.
by M. Beck, G. Marchesi, D. Pixton - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
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Several Complex Variables is a central area of mathematics with interactions with partial differential equations, algebraic geometry and differential geometry. This text emphasizes these interactions and concentrates on problems of current interest.
by W.K. Hayman - Tata Institue of Fundamental Research
We shall develop in this course Nevanlinna's theory of meromorphic functions. From the table of contents: Basic Theory; Nevanlinna's Second Fundamental Theorem; Univalent Functions (Schlicht functions, Asymptotic behaviour).