Titre : | Experiencing geometry : Euclidean and Non-Euclidean with history | Type de document : | texte imprimé | Auteurs : | David W. HENDERSON, Auteur ; Daina TAIMINA, Auteur | Mention d'édition : | 3ème éd. | Editeur : | Paris : Pearson Education | Année de publication : | 2005 | Importance : | 392 p. | Présentation : | ill. | ISBN/ISSN/EAN : | 978-0-13-143748-7 | Note générale : | index, bibliogr. | Langues : | Anglais (eng) | Mots-clés : | géométrie histoire des sciences épistémologie géométrie euclidienne géométrie non-euclidienne | Résumé : | The distinctive approach of Henderson and Taimina's text stimulates students to develop a broader, deeper understanding of mathematics through active experience—including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting problems (ranging from easy to challenging) encourage students to gather and discuss their reasonings and understanding. This is the only undergraduate text that pays attention to geometric intuition, student cognitive development, and rigorous mathematics; and that includes a broad vision of geometry that leads to discussion of four strands in the history of geometry and to an understanding of the possible shapes of the physical universe. |
Experiencing geometry : Euclidean and Non-Euclidean with history [texte imprimé] / David W. HENDERSON, Auteur ; Daina TAIMINA, Auteur . - 3ème éd. . - Paris : Pearson Education, 2005 . - 392 p. : ill. ISBN : 978-0-13-143748-7 index, bibliogr. Langues : Anglais ( eng) Mots-clés : | géométrie histoire des sciences épistémologie géométrie euclidienne géométrie non-euclidienne | Résumé : | The distinctive approach of Henderson and Taimina's text stimulates students to develop a broader, deeper understanding of mathematics through active experience—including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting problems (ranging from easy to challenging) encourage students to gather and discuss their reasonings and understanding. This is the only undergraduate text that pays attention to geometric intuition, student cognitive development, and rigorous mathematics; and that includes a broad vision of geometry that leads to discussion of four strands in the history of geometry and to an understanding of the possible shapes of the physical universe. |
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