Complex Numbers from A to ... Z

  • Titu Andreescu
  • Dorin Andrica

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Titu Andreescu, Dorin Andrica
    Pages 1-30
  3. Titu Andreescu, Dorin Andrica
    Pages 31-56
  4. Titu Andreescu, Dorin Andrica
    Pages 57-95
  5. Titu Andreescu, Dorin Andrica
    Pages 97-174
  6. Titu Andreescu, Dorin Andrica
    Pages 175-275
  7. Titu Andreescu, Dorin Andrica
    Pages 277-376
  8. Back Matter
    Pages 377-391

About this book


It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.

The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.

The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. Many new problems and solutions have been added in this second edition. A special feature of the book is the last chapter, a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented.

The book reflects the unique experience of the authors. It distills a vast mathematical literature, most of which is unknown to the western public, and captures the essence of an abundant problem culture. The target audience includes undergraduates, high school students and their teachers, mathematical contestants (such as those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches, as well as anyone interested in essential mathematics.


Rouche-Blundon inequality complex plane geometric transformations homography

Authors and affiliations

  • Titu Andreescu
    • 1
  • Dorin Andrica
    • 2
  1. 1.Science and Mathematics EducationThe University of Texas at DallasRichardsonUSA
  2. 2.MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-8414-3
  • Online ISBN 978-0-8176-8415-0
  • About this book