Elements of the Theory of Functions of a Complex Variable
by G.E. Fisher, I.J. Schwatt
Publisher: Philadelphia G.E. Fisher 1896
Number of pages: 312
Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; The logarithmic and exponential functions; General properties of functions; Infinite and infinitesimal values of functions; Integrals; Simply and multiply connected surfaces; Moduli of periodicity.
Home page url
Download or read it online for free here:
by George Cain
The textbook for an introductory course in complex analysis. It covers complex numbers and functions, integration, Cauchy's theorem, harmonic functions, Taylor and Laurent series, poles and residues, argument principle, and more.
by Anders Thorup - Kobenhavns Universitet
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.
by Georges Valiron - Chelsea Pub. Co.
These lectures give us, in the form of a number of elegant and illuminating theorems, the latest word of mathematical science on the subject of Integral Functions. They descend to details, they take us into the workshop of the working mathematician.
by 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.