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.
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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 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.-H. Schwartz - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
by C. McMullen - Harvard University
This course covers some basic material on both the geometric and analytic aspects of complex analysis in one variable. Prerequisites: Background in real analysis and basic differential topology, and a first course in complex analysis.