Name: Inequalities: A Mathematical Olympiad Approach (en Inglés)
SKU: 2738377
Price: 72.87 USD
Availability: InStock
Author: Radmila Bulajich Manfrino

portada Inequalities: A Mathematical Olympiad Approach (en Inglés)

Inequalities: A Mathematical Olympiad Approach (en Inglés)

Formato

Libro Físico

Editorial

Birkhauser Basel

Autor

Radmila Bulajich Manfrino

Año

2009

Idioma

Inglés

N° páginas

220

Encuadernación

Tapa Blanda

ISBN

3034600496

ISBN13

9783034600491

N° edición

2009

Categorías

Álgebra

Inequalities: A Mathematical Olympiad Approach (en Inglés)

Radmila Bulajich Manfrino (Autor) · Birkhauser Basel · Tapa Blanda

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Reseña del libro "Inequalities: A Mathematical Olympiad Approach (en Inglés)"

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.