An Axiomatic Approach to Geometry Geometric Trilogy I /

• Κύριος συγγραφέας: Borceux, Francis (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Geometry.; Projective geometry.; History.; History of Mathematical Sciences.; Projective Geometry.

Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic ge...

Πίνακας περιεχομένων:

• Introduction
• Preface
• 1.The Prehellenic Antiquity
• 2.Some Pioneers of Greek Geometry
• 3.Euclid’s Elements
• 4.Some Masters of Greek Geometry
• 5.Post-Hellenic Euclidean Geometry
• 6.Projective Geometry
• 7.Non-Euclidean Geometry
• 8.Hilbert’s Axiomatics of the Plane
• Appendices: A. Constructibily
• B. The Three Classical Problems
• C. Regular Polygons
• Index
• Bibliography.