Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Santiago Zarzuela[en] This project is a chronologic summary of several methods to find if a number is transcendental or not. Some of these results will guide us to very interesting others, such as, that π+e or e⋅π is a transcendental number, but never both at the same time. And other methods will provide us the existence of at least a transcendental number in a specific set of numbers