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. Read more...
Abstract:
This unique collection of new and classical problems provides full coverage of algebraic inequalities. 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. Read more...
Author(s): Sedrakyan, Hayk; Sedrakyan, Nairi
Series: Problem books in mathematics
Publisher: Springer
Year: 2018
Language: English
Pages: 243
Tags: Inequalities (Mathematics);Geometry, Algebraic.;Number theory.
Content: 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.
