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 Leif Mejlbro - BookBoon
The book on complex functions theory. From the table of contents: Introduction; The argument principle, and criteria of stability; Many-valued functions and Riemann surfaces; Conformal mappings and the Dirichlet problem; Index.
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 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.
by B. Malgrange - Tata Institute of Fundamental Research
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.