Inequalities : a Mathematical Olympiad approach
This book is intended for the Mathematical Olympiad students who wish to p- pare 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...
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2009. |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Inequalities, a Mathematical Olympiad approach, Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado, Basel, Birkhäuser, 2009, 1 vol. (VIII-210 p.), 978-3-0346-0049-1 |
| Résumé: | This book is intended for the Mathematical Olympiad students who wish to p- pare 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 pr- lems. An important part of this book deals with geometric inequalities and this fact makes a big di?erence 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 di?erent character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. H- ever, 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- Schwarzinequality, the rearrangementinequality, the Jensen inequality, the Mu- head theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad pr- lems. We also emphasize how the substitution strategy is used to deduce several inequalities |
|---|---|
| Description: | Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. Index |
| ISBN: | 9783034600507 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |