Lectures On The General Theory Of Integral Functions
by Georges Valiron
Publisher: Chelsea Pub. Co. 1949
Number of pages: 234
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, they explain to us the nature of his tools, and show us the way to use them.
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by G.E. Fisher, I.J. Schwatt - Philadelphia G.E. Fisher
Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; General properties of functions; Infinite and infinitesimal values of functions; etc.
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 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.
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.