Complex analysis : the argument principle in analysis and topology / A. F. Beardon



Digitised Book 216.73.216.10 (0)

1989

Complex analysis : the argument principle in analysis and topology / A. F. Beardon

  • Share


Information About

This text presents a new approach to the teaching of complex analysis to advanced students which lays emphasis on the argument principle in analysis and topology. It is primarily concerned with the concepts of angle and winding numbers and the part they play in complex analysis and provides a geometrical insight into the subject.

Subjects

Functions of Complex variables Numbers, Complex

Other issues in the series

title
{{block.title}}
{{ element }}
Previous

{{nextOffset + 1}} / {{total}}

Next

Additional Details

Title
Complex analysis : the argument principle in analysis and topology / A. F. Beardon
Creators
  • Beardon, Alan F.
Subject
  • Functions of Complex variables
  • Numbers, Complex
Publisher
  • J. Wiley, 1989
  • National Library Board Singapore, 1989
Digital Description
application/pdf, ill.
Table of Contents
  • pt. I. Angles. ch. 1. 1.1 Sets. 1.2 Complex numbers... ch. 2. 2.1 Infinite series. 2.2 Tests for convergence... ch. 3. 3.1 Continuity... ch. 4. 4.1 The exponential function. 4.2 The trigonometric functions... ch. 5. 5.1 The argument of a complex number. 5.2 Logarithms... -- pt. II. Basic complex analysis. 6.1 Open and closed sets. 6.2 Connected sets... ch. 7. 7.1 Plane curves. 7.2 The index of a curve... ch. 8. 8.1 Polynomials. 8.2 Power series... ch. 9. 9.1 Derivatives. 9.2 Line integrals... pt. III. Interactions with plane topology. ch.11. 11.1 Simply connected domains...
Copyright
  • All Rights Reserved. National Library Board Singapore 2009.