Theorems, Techniques and Selected Problems

  • Zdravko Cvetkovski

Table of contents

  1. Front Matter
    Pages I-X
  2. Zdravko Cvetkovski
    Pages 19-25
  3. Zdravko Cvetkovski
    Pages 49-60
  4. Zdravko Cvetkovski
    Pages 61-67
  5. Zdravko Cvetkovski
    Pages 69-77
  6. Zdravko Cvetkovski
    Pages 117-119
  7. Zdravko Cvetkovski
    Pages 155-160
  8. Zdravko Cvetkovski
    Pages 161-167
  9. Zdravko Cvetkovski
    Pages 169-175
  10. Zdravko Cvetkovski
    Pages 177-182

About this book


This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.


Cauchy-Schwarz inequality Hölder’s inequality Inequalities Jensen's inequality Olympiads

Authors and affiliations

  • Zdravko Cvetkovski
    • 1
  1. 1.of the Republic of Macedonia, Faculty of InformaticsEuropean UniversitySkopjeMacedonia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-23791-1
  • Online ISBN 978-3-642-23792-8
  • About this book