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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 theses 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 |
Files in This Item:
File | Description | Size | Format | |
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176991.pdf | Memòria | 951.23 kB | Adobe PDF | View/Open |
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