# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Sergi Muria Maldonado

# metadata.dc.description.abstract[].value
[en] Bolzano’s theorem is indisputably a classic theorem in mathematical analysis. In this work we present its mathematical construction with its many applications, from the simple location of roots to numerical methods based on this result. I dedicate a section in addition to its possible generalizations where we will analyze Bolzano’s theorem topologically.
Finally I will propose a didactic part where we will see how to carry this theorem in the classroom and work on the mathematical language, an essential element in mathematics.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Guimerà Vea, Enric, 2020

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques