Mathematical Inequalities Volume 2 : Symmetric Rational and Nonrational Inequalities

ISBN-13: 9786139900060 / Angielski / Miękka / 2018 / 508 str.

Vasile Cirtoaje

Opis

This is Volume 2 of the five-volume book Mathematical Inequalities, which introduces and develops the main types of elementary inequalities. The first three volumes are a great opportunity to look into many old and new inequalities, as well as elementary procedures for solving them: Volume 1 - Symmetric Polynomial Inequalities, Volume 2 - Symmetric Rational and Nonrational Inequalities, Volume 3 - Cyclic and Noncyclic Inequalities. As a rule, the inequalities in these volumes are increasingly ordered according to the number of variables: two, three, four, ... , n-variables. The last two volumes (Volume 4 - Extensions and Refinements of Jensen's Inequality, Volume 5 - Other Recent Methods for Creating and Solving Inequalities) present beautiful and original methods for solving inequalities, such as Half/Partial convex function method, Equal variables method, Arithmetic compensation method, Highest coefficient cancellation method, pqr method etc. The book is intended for a wide audience: advanced middle school students, high school students, college and university students, and teachers. Many problems and methods can be used as group projects for advanced high school students.

O autorze

Cirtoaje, Vasile
The author, Vasile Cirtoaje, is a Professor at the Department of Automatic Control and Computers from the University of Ploiesti, Romania. He is the author of many well-known interesting and delightful inequalities, as well as strong methods for creating and proving mathematical inequalities.