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Complex Analysis
This is a textbook for an introductory course in complex analysis. It has been used for undergraduate complex analysis course at Georgia Institute of Technology.
This course is destined to introduce the student to the basic results in complex variable theory, in particular Cauchy's theorem, and to develop the student's facility in the following three
- Computing the Laurent or Taylor series expansions associated to a function which is analytic in part of the complex plane, and the determination of the region of convergence of such series
- Computing definite integrals by means of the residue calculus
- Solving boundary value problems associated to the Laplace operator by means of the conformal transformations associated to analytic functions
This course is destined to introduce the student to the basic results in complex variable theory, in particular Cauchy's theorem, and to develop the student's facility in the following three
- Computing the Laurent or Taylor series expansions associated to a function which is analytic in part of the complex plane, and the determination of the region of convergence of such series
- Computing definite integrals by means of the residue calculus
- Solving boundary value problems associated to the Laplace operator by means of the conformal transformations associated to analytic functions
234 pages, Kindle Edition
Published May 2, 2018
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