Basic Concepts of Mathematical Analysis

This book introduces and explains basic concepts of mathematical analysis, which include: the concept of a function and functions’ properties, such as symmetry and periodicity (which gives some conditions under which we can determine the periodicity of functions). These concepts are applied to real numbers. The book also covers the concept of numerical sequences, their properties, the convergence of sequences and their limits. The concept of the limit of functions and their continuity, as well as the differentially of functions, are also discussed, including basic theorems of differentially and their applications. Lastly, the book explores parametric functions and their graphic representation.