Lectures on Modular Functions of One Complex Variable
by H. Maass
Publisher: Tata institute of Fundamental Research 1983
ISBN/ASIN: B0006C27TE
Number of pages: 242
Description:
The book provides an introduction to the theory of modular functions and modular forms and may be described as elementary, in as much as basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions form the only prerequisites.
Download or read it online for free here:
Download link
(1.2MB, PDF)
Similar books
Elliptic Functions and Elliptic Curvesby Jan Nekovar - Institut de Mathematiques de Jussieu
Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.
(3661 views)
Lectures on Holomorphic Functions of Several Complex Variablesby 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.
(2798 views)
Holomorphic Spacesby S. Axler, J. McCarthy, D. Sarason - Cambridge University Press
This volume consists of expository articles on holomorphic spaces. Topics covered are Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.
(7006 views)
Theory of Functions of a Complex Variableby Heinrich Burkhardt - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.
(431 views)