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Inequalities

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
  11. Zdravko Cvetkovski
    Pages 183-216
  12. Zdravko Cvetkovski
    Pages 217-433
  13. Back Matter
    Pages 435-444

About this book

Introduction

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.

Keywords

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