Principles of complex analysis

Principles of complex analysis / Serge Lvovski.

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous b...

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Bibliographic Details
Main Author: Lvovski, Serge (Author)
Format: eBook
Language:English
Russian
Published: Cham, Switzerland : Springer, [2020]
Series:Moscow lectures ; v. 6.
Subjects:
Functions of complex variables.
Geometry, Algebraic.
Geometría algebraica
Funciones de variables complejas
Functions of complex variables
Geometry, Algebraic
Online Access:Click for online access
Uniform Title:Print︠s︡ipy kompleksnogo analiza.
Table of Contents:
  • Introduction
  • Preliminaries
  • Derivatives of functions of complex variable
  • Practicing conformal mappings
  • Integrals of functions of complex variable
  • Cauchy theorem and its consequences
  • Homotopy and analytic continuation
  • Laurent series and singular points
  • Residues
  • Local properties of holomorphic functions
  • Conformal mappings I
  • Infinite sums and products
  • Conformal mappings II
  • Introduction to Riemann surfaces.

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