Geometry

Our Cultural Heritage

Audun Holme

410 pages, parution le 15/07/2001

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Résumé

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. The book aims at future teachers of mathematics. All too often the geometry which goes into the syllabus for teacher-students presents the material as pedantic and formalistic, suppressing its dynamic character and its role as part of the foundation for our common cultural heritage. The motivation for the book is to open up these aspects of the field. Another motivation is to provide an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. An important task is seriously attempting to heal these ills. Thus the book also aims at an informed public, interested in making a new beginning in math.

Contents

A Cultural Heritage

Early Beginnings
The Great River Civilization
Greek and Hellenic Geometry
Geometry in the Hellinistic Era
The Geometry of Yesterday and today
Geometry and the REal World

Introduction to Geometry

Axiomatic Geometry
Axiomatic Projective Geometry
Models for Non-Euclidian Geometry
Making Things Precise
Projectice Spaces
Geometry in the Affine and the Projective Plane
Algebraic Curves of Higher Degrees in the Affine Plane R²
Higher Geometry in the Projective Plane
Sharpening the Sword of Algebra
Constructions with Straightedge and Compass
Fractal Geometry
Catastrophe Theory
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Audun Holme
Parution	15/07/2001
Nb. de pages	410
Format	16 x 24
Couverture	Relié
Poids	703g
Intérieur	Noir et Blanc
EAN13	9783540419495