Complex Analysis
by Christian Berg
Publisher: Kobenhavns Universitet 2012
Number of pages: 192
Description:
From the table of contents: Introduction; Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Argument, Logarithm, Powers; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Several Complex Variablesby Michael Schneider, Yum-Tong Siu - Cambridge University Press
Several Complex Variables is a central area of mathematics with interactions with partial differential equations, algebraic geometry and differential geometry. This text emphasizes these interactions and concentrates on problems of current interest.
(14303 views)
Dynamics in One Complex Variableby John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(15796 views)
Lectures on The Theory of Functions of Several Complex Variablesby 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.
(11059 views)
Theory of Functions of a Complex Variableby Andrew Russell Forsyth - Cambridge University Press
The present treatise is an attempt to give a consecutive account of what may fairly be deemed the principal branches of the whole subject. The book may assist mathematicians, by lessening the labour of acquiring a proper knowledge of the subject.
(5530 views)