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...
Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Formáid: | Livre numérique |
| Teanga: | Anglais |
| Foilsithe / Cruthaithe: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Rochtain ar líne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nóta: |
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 |
Clár na nÁbhar:
- 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