Inequalities

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Manfrino, Radmila Bulajich. Inequalities A Mathematical Olympiad Approach / by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado. -
220 p. online resource. Content notes : Introduction -- 1 Numerical Inequalities -- 1.1 Order in the real numbers -- 1.2 The quadratic function ax2 + 2bx + c -- 1.3 A fundamental inequality, arithmetic mean-geometric mean -- 1.4. A wonderful inequality: the rearrangement inequality -- 1.5 Convex functions -- 1.6 A helpful inequality -- 1.7 The substitutions strategy -- 1.8 Muirhead's theorem -- 2 Geometric Inequalities -- 2.1 Two basic inequalities -- 2.2 Inequalities between the sides of a triangle -- 2.3 The use of inequalities in the geometry of the triangle -- 2.4 Euler's inequality and some applications -- 2.5 Symmetric functions of a, b and c -- 2.6 Inequalities with areas and perimeters. 2.7 Erdös-Mordell theorem -- 2.8 Optimization problems -- 3 Recent Inequality Problems -- 4 Solutions to Exercises and Problems -- Bibliography -- Index. 9783034600507 * Algebra. Mathematics. Global analysis (Mathematics). Algebra. Mathematics, general. Analysis. * Gómez Ortega, José Antonio., aut, http://id.loc.gov/vocabulary/relators/autDelgado, Rogelio Valdez., aut, http://id.loc.gov/vocabulary/relators/aut * Title