Teoremas fundamentais da matemática: história, demonstrações e aplicações

Abstract

This work presents some fundamental theorems of Mathematics, some demonstrated decades ago and others more modern. Proportion will be addressed, an idea widely used by ancient artists and scientists, and nowadays practically in everyone's daily life. We will also observe the range of possibilities for applying combinatorics, going through the main counting techniques. We will understand the importance of prime numbers in the formation of composite numbers, as well as working with multiples and divisors. We will also show the idea of ​​limit, exposing some fundamental limits in the study of differential and integral calculus, also approaching the trigonometry present in it and the main theorem of this branch of Mathematics. The objective of this research is to show the importance of these theorems, exposing applications in everyday life, both in Mathematics and in other sciences.