Inequalities : Theorems, Techniques and Selected Problems
This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving i...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2012. |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Inequalities, theorems, techniques and selected problems, Zdravko Cvetkovski, 2012, Berlin, Springer, 1 vol. (X-444p. ), 3-642-23791-6 |
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| 100 | 1 | |a Cvetkovski, Zdravko. | |
| 245 | 1 | 0 | |a Inequalities : |b Theorems, Techniques and Selected Problems |c by Zdravko Cvetkovski. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a "Basic (elementary) inequalities and their application Inequalities between means, (with two and three variables) Geometric (triangle) inequalities Bernoulli's inequality, the Cauchy-Schwarz inequality, Chebishev's inequality, Surányi's inequality Inequalities between means (general case) Points of incidence in applications of the AM-GM inequality The rearrangement inequality Convexity, Jensen's inequality Trigonometric substitutions and their application for proving algebraic inequalities The most usual forms of trigonometric substitutions Characteristic examples, using trigonometric substitutions Hölder's inequality, Minkowski's inequality and their generalizations Generalizations of the Cauchy-Schwarz inequality, Chebishev's inequality and the mean inequalities Newton's inequality, Maclaurin's inequality Schur's inequality, Muirhead's inequality Two theorems from differential calculus, and their applications for proving inequalities One method of proving symmetric inequalities with three variables Method for proving symmetric inequalities with three variables defined on set of real numbers Abstract concreteness method (ABC method) Sum of Squares (S.O.S - method) Strong mixing variables method (S.M.V Theorem) Lagrange multipliers method. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book. | ||
| 776 | 0 | |0 193301709 |t Inequalities |o theorems, techniques and selected problems |f Zdravko Cvetkovski |d 2012 |c Berlin |n Springer |p 1 vol. (X-444p. ) |z 3-642-23791-6 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-018VMF3W-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750603860 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-23792-8 |z Accès Université d'Orléans | |
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| 997 | |0 974130 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||