title: Advanced Analytic Methods in Applied Mathematics, Science and Engineering
author:  Hung Cheng 
description: Professor Cheng has performed a real service to the many students for whom mastery of advanced mathematical methods is a pre-requisite to accomplishment in their chosen field of science or engineering. This book rolls up its sleeves and quickly gets down to a no-nonsense account of most of the key points of introductory applied mathematics, with many ingenious examples that illuminate common pitfalls and an array of clever tricks that should confound even the most fiendish of difficult problems. --Nigel Goldenfield, Department of Physics, University of Illinois<br /><br />I appreciate the way the different topics are explained and the level of detail that is given in the calculation. This is missing from many of the other books that I know, perhaps all of them... This book has definite advantages over...the main competitors. --Michael Brenner, Division of Engineering and Applied Sciences, Harvard University
zlib_text: Leif Mejlbro
  Examples of Power Series
  Calculus 3c-3
  Download free eBooks at bookboon.com
  
  Examples of Power Series – Calculus 3c-3
  © 2008 Leif Mejlbro & Ventus Publishing ApS
  ISBN 978-87-7681-377-2
  Download free eBooks at bookboon.com
  
  Calculus 3c-3
   
  4 
   
  Contents
  Contents
   
  Introduction 
  1.  
  Power series; radius of convergence and sum 
  2.  
  Power series expansions of functions 
  3.  
  Cauchy multiplication 
  4.  
  Integrals described by series 
  5.  
  Sums of series 
   
  5 
  6
  35
  45
  48
  51
  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 challenges. 
  An environment in which your expertise is in high 
  demand. Enjoy the supportive working atmosphere 
  within our global group and benefit from international 
  career paths. Implement sustainable ideas in close 
  cooperation with