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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-23792-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220117121447.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120104s2012 gw | s |||| 0|eng d | ||
| 020 | |a 9783642237928 |9 978-3-642-23792-8 | ||
| 024 | 7 | |a 10.1007/978-3-642-23792-8 |2 doi | |
| 050 | 4 | |a QA150-272 | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 512 |2 23 |
| 100 | 1 | |a Cvetkovski, Zdravko. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Inequalities |h [electronic resource] : |b Theorems, Techniques and Selected Problems / |c by Zdravko Cvetkovski. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2012. | |
| 300 | |a X, 444 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |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. | |
| 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. | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Engineering. | |
| 650 | 0 | |a Life sciences. | |
| 650 | 0 | |a Social sciences. | |
| 650 | 0 | |a Humanities. | |
| 650 | 0 | |a Science. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Technology and Engineering. |
| 650 | 2 | 4 | |a Life Sciences. |
| 650 | 2 | 4 | |a Humanities and Social Sciences. |
| 650 | 2 | 4 | |a Physical Sciences. |
| 650 | 2 | 4 | |a Mathematics and Computing. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642237911 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642237935 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-23792-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||