02900nam 22005535 450 991030013260332120200704080843.03-319-77836-610.1007/978-3-319-77836-5(CKB)4100000005323093(DE-He213)978-3-319-77836-5(MiAaPQ)EBC6312116(PPN)258851287(PPN)229501281(EXLCZ)99410000000532309320180705d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAlgebraic Inequalities /by Hayk Sedrakyan, Nairi Sedrakyan1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XIII, 243 p.) Problem Books in Mathematics,0941-35023-319-77835-8 Includes bibliographical references.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.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. .Problem Books in Mathematics,0941-3502Geometry, AlgebraicNumber theoryAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Geometry, Algebraic.Number theory.Algebraic Geometry.Number Theory.512.97Sedrakyan Haykauthttp://id.loc.gov/vocabulary/relators/aut767404Sedrakyan Nairiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300132603321Algebraic Inequalities2124844UNINA