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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
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| Edición: | 2nd ed. 2010. |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.