Silva, Carlos Alexandre Gomes daSilva, Pedro Costa da2019-08-272019-08-272019-04-17SILVA, Pedro Costa da. As desigualdades elementares e suas aplicações. 2019. 112f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2019.https://repositorio.ufrn.br/jspui/handle/123456789/27608In the present work we are going to broach up the study of mathematical inequalities, arithmetic means, geometrics, harmonics, quadratics, Bernoulli, inequalities in the Geometry and others. Such subject is very few discussed in the Brazilian titles, for this reason I decided to write about this topic with more than one demonstration of theorems and bring up some math problems for better understanding their applications. The work aims to help teachers in their improvement, students who will participate in the national and international Math Olympic Games and university students. The mathematical inequalities are extremely important to several branches of mathematic such as: Algebra, Trigonometry, Geometry and Analysis, and are also very powerful tools for solving problems in the Math Olympics Games, demonstrating Geometric inequalities.Acesso AbertoDesigualdadesDemonstraçõesProblemas e resoluçõesmasterThesisCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA