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
Methods for Finding Zeros in Polynomialsby Leif Mejlbro - BookBoon
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated.
(10465 views)
Complex Integration and Cauchy's Theoremby G. N. Watson - Cambridge University Press
This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications ...
(9314 views)
Complex Analysisby 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.
(16619 views)
Functions of a Complex Variableby Thomas S. Fiske - John Wiley & sons
This book is a brief introductory account of some of the more fundamental portions of the theory of functions of a complex variable. It will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.
(8191 views)