What is real analysis?
In this article, we answer the question: what is real analysis about? Apparently the word real comes from the set of real numbers while...
Continuous functions of one variable
We discuss the important class of continuous functions of one variable. We teach you how to prove that a function is continuous. We also...
The optimal step gradient method
In this article, we propose an exercise that describes the optimal method of the step gradient for coercive functions on spaces of finite dimension....
Riemann Integral Exercises
Riemann integral exercises with detailed answers are offered on this page. These kinds of integrals of bounded function in bounded intervals, almost everywhere continuous....
Translation operator
We discuss the properties of the translation operator defined in a Lebesgue space. The latter appears in the study of differential equations, mainly equations...
Primitives of continuous functions
Primitives of continuous functions play a key role in the calculation of integrals. Therefore, in this article, we will use examples to introduce a...
