Lectures on the Theory of Algebraic Functions of One Variable
by M. Deuring
Publisher: Tata Institute of Fundamental Research 1959
Number of pages: 154
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 implicitly by an equation of the form f(z,w)=0, where f is a polynomial, it is understandable that the study of such functions should be possible by algebraic methods.
Download or read it online for free here:
by K. Chandrasekharan - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
by W W L Chen - Macquarie University
Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.
by Solomon I. Khmelnik, Inna S. Doubson - MiC
Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.
by Piotr Jakobczak, Marek Jarnicki - Jagiellonian University
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.