Inequalities

Theorems, Techniques and Selected Problems

Authors: Cvetkovski, Zdravko

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  • Contains 485 problems on Algebra-Inequalities
  • Detailed solutions are given
  • Theoretical background and techniques for proving inequalities are provided
  • Ideal for participants of national and international mathematical contests
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  • ISBN 978-3-642-23792-8
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  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-642-23791-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

About the authors

Dipl. Math. Zdravko Cvetkovski, European University-Skopje, R. Macedonia, Informatics Department.

Reviews

From the reviews:

“The book is aimed at the more advanced students about to enter university and is particularly useful to candidates, and their trainers, for mathematical competitions such as the Olympiads. The themes and methods are introduced in 19 chapters of the book, which include exercises and their solutions.” (Peter Shiu, The Mathematical Gazette, Vol. 98 (541), March, 2014)

“This volume collects problems of various degrees of difficulty in the field of elementary inequalities. This book is intended as a valuable source for the training of high-school students in view of mathematical Olympiads. School teachers will also gain benefit from this book. … It would be a particularly valuable resource for those who participate in mathematics competitions at the high school or college level. … this book is a ‘must have’ for a university’s library, and I recommend it highly to its ‘ideal audience’.” (Teodora-Liliana Radulescu, Zentralblatt MATH, Vol. 1233, 2012)

Table of contents (21 chapters)

Table of contents (21 chapters)
  • Basic (Elementary) Inequalities and Their Application

    Pages 1-7

    Cvetkovski, Dipl. Math. Zdravko

  • Inequalities Between Means (with Two and Three Variables)

    Pages 9-18

    Cvetkovski, Dipl. Math. Zdravko

  • Geometric (Triangle) Inequalities

    Pages 19-25

    Cvetkovski, Dipl. Math. Zdravko

  • Bernoulli’s Inequality, the Cauchy–Schwarz Inequality, Chebishev’s Inequality, Surányi’s Inequality

    Pages 27-47

    Cvetkovski, Dipl. Math. Zdravko

  • Inequalities Between Means (General Case)

    Pages 49-60

    Cvetkovski, Dipl. Math. Zdravko

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-642-23792-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-642-23791-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Inequalities
Book Subtitle
Theorems, Techniques and Selected Problems
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-23792-8
DOI
10.1007/978-3-642-23792-8
Softcover ISBN
978-3-642-23791-1
Edition Number
1
Number of Pages
X, 444
Topics