Geometry : Our Cultural Heritage
This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into...
Gespeichert in:
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry, our cultural heritage, Audun Holme, 2nd edition, Heidelberg, Springer, 2010, 1 vol. (XVII-519 p.), 978-3-642-14440-0 |
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| 041 | 0 | |a eng | |
| 082 | |a 516 | ||
| 100 | 1 | |a Holme, Audun, |d 1938-2026. | |
| 245 | 1 | 0 | |a Geometry : |b Our Cultural Heritage |c by Audun Holme. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Part I A Cultural Heritage: 1 Early Beginnings 2 The Great River Civilizations 3 Greek and Hellenic Geometry 4 Geometry in the Hellenistic Era 5 Arabic Mathematics and Geometry 6 The Geometry of Yesterday and Today 7 Geometry and the Real World Part II Introduction to Geometry: 8 Axiomatic Geometry 9 Axiomatic Projective Geometry 10 Models for Non-Euclidean Geometry 11 Making Things Precise 12 Projective Space 13 Geometry in the Affine and the Projective Plane 14 Algebraic Curves of Higher Degrees in the Affine Plane R2 15 Higher Geometry in the Projective Plane 16 Sharpening the Sword of Algebra 17 Constructions with Straightedge and Compass 18 Fractal Geometry 19 Catastrophe Theory 20 General Polyhedra and Tesselations, and their Groups of Symmetry 21 Hints and Solutions to some of the Excercises References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into the syllabus for these students presents the material in a pedantic and formalistic style, suppressing its dynamic character and its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5 | ||
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