Limite de funções de uma variável real com valores reais e generalizações

Abstract

The book Functions and Limits of a Real Variable at Real Values ​​was written by professors from the Mathematics Institute (INMA) at the Federal University of Mato Grosso do Sul, during the discipline Functions and Limits of a Real Variable, taught in the Postgraduate course in Mathematics Education and PROFMAT. The book was also used, in March 2019, in the subject of Didactics of Mathematical Analysis taught in the Master of Science in Education, from the Higher Institute of Educational Sciences (ISCED) in Sumbe (Angola) by professor José Luiz. The book covers the concepts of function and function limits of a real variable with real values ​​and is intended for students, teachers and prospective teachers. We start from the indisputable fact that the notions of limit and function are fundamental in the discipline of Real Analysis and are also objects of didactic and epistemological studies. Such studies are motivated by students' difficulties in learning. The book also sought to address epistemological and didactic aspects of the two concepts, as they are rarely present in teacher training manuals, as well as in calculus textbooks.