http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities. .
Basic Inequalities and their Applications -- Strum's Method -- The HM-GM-AM-QM Inequalities -- Cauchy-Bunyakovsky-Schwarz Inequality -- Change of Variable(s) Method -- Symmetry and Homogeneity -- The Principle of Mathematical Introduction -- One Useful Inequality -- Using Derivatives and Integrals -- Using Functions -- Jensen's Inequality -- Inequalities of Sequences -- Algebraic Inequalities in Number Theory -- Miscellaneous Inequalities.