About this product

Product Identifiers

PublisherXYZ Press

ISBN-100988562286

ISBN-139780988562288

eBay Product ID (ePID)204214817

Product Key Features

Educational LevelHigh School, Elementary School

Number of Pages203 Pages

Publication Name109 Inequalities from the Awesomemath Summer Program

LanguageEnglish

Publication Year2015

SubjectGeneral

TypeStudy Guide

AuthorAdithya Ganesh, Titu Andreescu

Subject AreaMathematics

FormatHardcover

Dimensions

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceElementary/High School

Dewey Edition23

Reviews"109 Inequalities from the AwesomeMath Summer Program lives up to its promise as "an instructive resource for students striving for success at national and international competitions."...[T]he problems form an excellent training regimen for mathematical inequalities and will help readers master the subject...It is an excellent resource and would be a valuable addition to a problem solver's library." - Jack Chen, MAA Reviews, 109 Inequalities from the AwesomeMath Summer Program lives up to its promise as "an instructive resource for students striving for success at national and international competitions."...[T]he problems form an excellent training regimen for mathematical inequalities and will help readers master the subject...It is an excellent resource and would be a valuable addition to a problem solver's library." - Jack Chen, MAA Reviews

Dewey Decimal515.26

Table Of ContentAn introduction The arithmetic-geometric mean inequality The Cauchy-Schwarz inequality Hölder's inequality for sums Nesbitt's inequality The rearrangement and Chebyshev inequalities Introductory problems Advanced problems Solutions to introductory problems Solutions to advanced problems

SynopsisThis book explores the theory and techniques involved in proving algebraic inequalities. To expand the reader's mathematical toolkit, the authors present problems from journals and contests from around the world. Inequalities are an essential topic in Olympiad problem solving, and 109 Inequalities will serve as an instructive resource for students striving for success at national and international competitions. Inequalities are also of great theoretical interest and pave the way towards advanced topics such as analysis, probability theory, and measure theory. Most of all, the authors hope that the reader finds inspiration in both the struggle and beauty of proving algebraic inequalities., Explores the theory and techniques involved in proving algebraic inequalities. To expand the reader's mathematical toolkit, the authors present problems from journals and contests from around the world. Inequalities are an essential topic in Olympiad problem solving, and this title is an instructive resource for students striving for success at national and international competitions.