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Lectures on Complex Integration

  • A. O. Gogolin
  • Elena G. Tsitsishvili
  • Andreas Komnik

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Alexander. O. Gogolin, Elena G. Tsitsishvili, Andreas Komnik
    Pages 1-61
  3. Alexander. O. Gogolin, Elena G. Tsitsishvili, Andreas Komnik
    Pages 63-111
  4. Alexander. O. Gogolin, Elena G. Tsitsishvili, Andreas Komnik
    Pages 113-186
  5. Alexander. O. Gogolin, Elena G. Tsitsishvili, Andreas Komnik
    Pages 187-220
  6. Alexander. O. Gogolin, Elena G. Tsitsishvili, Andreas Komnik
    Pages 221-279
  7. Back Matter
    Pages 281-285

About this book

Introduction

The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

Keywords

Branch Cut Integration Complex Integration Contour Integrals Examples and Solutions in Complex Integration Hypergeometric Function Undergraduate Course on Complex Integration Wiener-Hopf Equation

Authors and affiliations

  • A. O. Gogolin
    • 1
  1. 1.Illford EssexUnited Kingdom

Editors and affiliations

  • Elena G. Tsitsishvili
    • 1
  • Andreas Komnik
    • 2
  1. 1.Institute for CyberneticsTbilisi Technical UniversityTbilisiGeorgia
  2. 2.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00212-5
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-00211-8
  • Online ISBN 978-3-319-00212-5
  • Series Print ISSN 2192-4791
  • Series Online ISSN 2192-4805
  • Buy this book on publisher's site