Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/176991
Title: El teorema de Bolzano
Author: Guimerà Vea, Enric
Director/Tutor: Muria Maldonado, Sergi
Keywords: Funcions contínues
Treballs de fi de grau
Càlcul diferencial
Topologia
Anàlisi matemàtica
Didàctica de la matemàtica
Continuous functions
Bachelor's thesis
Differential calculus
Topology
Mathematical analysis
Mathematics teaching methods
Issue Date: 19-Jun-2020
Abstract: [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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Sergi Muria Maldonado
URI: http://hdl.handle.net/2445/176991
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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