Sunday, September 18, 2011

Inequalities From Around the World 1995-2005 by Hojoo Lee

- Introduction
The aim of this work is to provide solutions to problems on inequalities proposed in various countries of the world in the years 1990-2005. In the summer of 2006, after reading Hoojoo Lee's nice book, Topics in Inequalities - Theorem and Techniques, I developed the idea of demonstrating
all the inequalities proposed in chapter 5, subsequently reprinted in the article Inequalities Through Problems by the same author. After a hard and tiresome work lasting over two months, thanks also to the help I mustered from specialised literature and from the http://www.mathlinks.ro website, I nally managed to bring this ambitious project to an end.
To many inequalities I have o ered more than one solution and I have always provided the source and the name of the author. In the contents I have also marked with an asterisk all the solutions which have been devised by myself. Furthermore I corrected the text of the problems 5, 11, 32, 79, 125, 140, 159 which seems to contain some typos (I think !). I would greatly appreciate hearing comments and corrections from my readers.
You may email me at
Ercole Suppa
ercsuppa@gmail.com
To Readers
This book is addressed to challenging high schools students who take part in mathematical competitions and to all those who are interested in inequalities and would like improve their skills in nonroutine problems. I heartily encourage readers to send me their own alternative solutions of the proposed inequalities: these will be published in the de nitive version of this book. Enjoy!
Acknowledgement
I'm indebted to Hojoo Lee, Vasile C^ rtoaje, Massimo Gobbino, Darij Grinberg and many other contributors of Mathlinks Forum for their nice solutions. Without their valuable help this work would not have been possible.

Link download:DOWNLOAD FILE

No comments:

Post a Comment