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Inequalities: A Mathematical Olympiad Approach by Jose Antonio Gomez Ortega, Radmila Bulajich Manfrino, Rogelio Valdez Delgado (Paperback, 2009)

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.

Author
Jose Antonio Gomez Ortega, Radmila Bulajich Manfrino, Rogelio Valdez Delgado
Publication Name
Inequalities: a Mathematical Olympiad Approach
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2009
Type
Textbook
Number of Pages
220 Pages

Title_Author
Rogelio Valdez Delgado, Jose Antonio Gomez Ortega, Radmila Bulajich Manfrino
Country/Region of Manufacture
Switzerland

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