Abstract
This monograph addresses as its main theme Albrecht Dürer's Melancholia I, an engraving that is full of philosophical and mathematical meanings. With a didactic and mathematical approach, we aim to contextualize the author's life and the work, in addition to discussing some mathematical elements present in the work, dealing with the history, definitions, theorems and some of the main results about the mentioned elements. Finally, we conclude with the work mentioning the importance of mathematics in art and how its history is rich even in times when humanity did not have so much access to technology.