Algebraic Inequalities

• Main Authors: Sedrakyan, Hayk (Author, http://id.loc.gov/vocabulary/relators/aut), Sedrakyan, Nairi (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Problem Books in Mathematics,
• Subjects: Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

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...

Table of Contents:

• 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.