title: Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)
author:  Mark J. Ablowitz 
description: '... the quality of the print is really first rate and the narration is measured, well reasoned, rigorous and nicely layed out ... the book in total constitutes a very good resource for teachers of, and researchers in, this particular area of mathematics.' Peter Larcombe, Mathematics Today
zlib_text: 2 
   
  R.S. Johnson 
  An introduction to the theory of  
  complex variables
  Download free eBooks at bookboon.com
  
  3 
   
  An introduction to the theory of complex variables
  © 2015 R.S. Johnson  & bookboon.com
  ISBN 978-87-403-0162-5
  Download free eBooks at bookboon.com
  
  An introduction to the theory of complex variables
  4 
  Contents
  Contents
   
  Preface to these two texts 
  8
   
  Part I: An introduction to complex variables 
  9
   
  Preface 
  10
   
  Introduction 
  11
  1 
  Complex Numbers 
  12
  1.1 
  Elementary properties 
  12
  1.2 
  Inequalities 
  15
  1.3 
  Roots 
  16
   
  Exercises 1 
  18
  2 
  Functions 
  20
  2.1 
  Elementary functions 
  21
   
  Exercises 2 
  27
  3 
  Differentiability 
  29
  3.1 
  Definition 
  29
  3.2 
  The derivative in detail 
  31
  3.3 
  Analyticity 
  37
  Download free eBooks at bookboon.com
  Click on the ad to read more
  www.sylvania.com
  We do not reinvent  
  the wheel we reinvent 
  light.
  Fascinating lighting offers an infinite spectrum of 
  possibilities: Innovative technologies and new  
  markets provide both opportunities and c