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© 2011

An Introduction to Complex Analysis

  • Provides a rigorous introduction to complex analysis

  • Arranges the material effectively in 50 class-tested lectures

  • Uses ample illustrations and examples to explain the subject

  • Provides problems for practice

Textbook

Table of contents

  1. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 132-137
  2. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 138-144
  3. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 145-150
  4. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 151-158
  5. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 159-168
  6. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 169-176
  7. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 177-182
  8. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 183-189
  9. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 190-194
  10. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 195-199
  11. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 200-206
  12. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 207-214
  13. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 215-219
  14. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 220-228
  15. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 229-234
  16. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 235-241
  17. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 242-246
  18. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 247-252
  19. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 253-257
  20. Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
    Pages 258-266

About this book

Introduction

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.

 

Key features of this textbook:

-Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures

- Uses detailed examples to drive the presentation

-Includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section

-covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics

-Provides a concise history of complex numbers

 

 

An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

Keywords

analytic function complex function complex variables series

Authors and affiliations

  1. 1.Department of MathematicsFlorida Institute of TechnologyMelbourneUSA
  2. 2., Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  3. 3., Department of MathematicsAzores UniversityPonta DelgadaPortugal

Bibliographic information

  • Book Title An Introduction to Complex Analysis
  • Authors Ravi P. Agarwal
    Kanishka Perera
    Sandra Pinelas
  • DOI https://doi.org/10.1007/978-1-4614-0195-7
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-1-4614-0194-0
  • Softcover ISBN 978-1-4899-9716-6
  • eBook ISBN 978-1-4614-0195-7
  • Edition Number 1
  • Number of Pages XIV, 331
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Functions of a Complex Variable
    Analysis

Reviews

From the reviews:

“This work, directed toward majors in the applied sciences, is presented as a series of 50 lectures on standard topics in introductory complex analysis. Agarwal and Perera (both, Florida Institute of Technology) and Pinelas (Azores Univ., Portugal) have organized each lecture/chapter around certain theorems and their proofs and accompany each with a problem set and solutions. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (D. Robbins, Choice, Vol. 49 (5), January, 2012)

“This volume provides a compact and thorough introduction to complex analysis. The text takes account of varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. … This concise text not only provides efficient proofs but also shows students how to derive them. The excellent exercises are accompanied by selected solutions. … The exposition is clear, concise, and lively. The book is mainly addressed to undergraduate and graduate students interested in complex analysis.” (Teodora-Liliana Rădulescu, Zentralblatt MATH, Vol. 1230, 2012)

“It consists of 50 ‘class-tested lectures’ in which the subject matter has been organized in the form of theorems, proofs and examples. Most of the lectures are … followed by graded exercises that go from the routine to the richly informative. Solutions and hints are provided for nearly all of these, which means that the book is highly suited for self-tuition purposes. … it is also suited to the needs of non-specialists, such as those concerned with the applied sciences.” (P. N. Ruane, The Mathematical Association of America, October, 2011)