Erschienen: 18.09.2009 Abbildung von Bulajich Manfrino / Gómez Ortega / Valdez Delgado | Inequalities | 2009

Bulajich Manfrino / Gómez Ortega / Valdez Delgado

Inequalities

A Mathematical Olympiad Approach

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

2009. Buch. 220 S. Bibliographien. Softcover

Birkhäuser. ISBN 978-3-0346-0049-1

Format (B x L): 17 x 24 cm

Gewicht: 408 g

In englischer Sprache

Produktbeschreibung

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.

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

Autoren

  • Dieses Set enthält folgende Produkte:
      Auch in folgendem Set erhältlich:
      • nach oben

        Ihre Daten werden geladen ...