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Geometry : our cultural heritage

Author: Audun Holme
Publisher: Berlin ; Heidelberg : Springer, ©2010.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: C Original
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Audun Holme
ISBN: 9783642144417 3642144411 9783642144400 3642144403
OCLC Number: 676701072
Description: 1 online resource (xvii, 519 pages)
Contents: Pt. 1. 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 --
pt. 2. Introduction to geometry --
8. Axiomatic geometry --
9. Axiomatic projective geometry --
10. Models for non-Euclidian 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 --
18. Catastrophe theory --
20. General polyhedra and tessellations, and their groups of symmetry.
Responsibility: Audun Holme.
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Abstract:

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.  Read more...

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From the reviews of the second edition:"Devised primarily for future teachers of mathematics, but to be enjoyed by all lovers of geometry, including professional geometers, who will likely find Read more...

 
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