Geometry Our Cultural Heritage /

• Κύριος συγγραφέας: Holme, Audun (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Θέματα: Mathematics.; Computer science > Mathematics.; Geometry.; Physics.; Mathematics, general.; Theoretical, Mathematical and Computational Physics.; Math Applications in Computer Science.

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...

Πίνακας περιεχομένων:

• 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.