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AuthorHolme, Audun. author
TitleGeometry [electronic resource] : Our Cultural Heritage / by Audun Holme
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
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Descript XVI, 378 p. online resource


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. Ills perhaps inflicted on students at an early age, through deficient or even harmful teaching practices. Thus the book also aims at an informed public, interested in making a new beginning in math. And in doing so, learning more about this part of our cultural heritage. The book is divided into two parts. Part 1 is called A Cultural Heritage. The section constitutes an excursion into the history of geometry. It also contains material which is normally not included into a mathematical text. For example, we relate some of the stories told by the Greek historian, Herodotus. Apart from being good reading, some of the early geometers were very much part of these events


I A Cultural Heritage -- 1 Early Beginnings -- 2 The Great River Civilizations -- 3 Greek and Hellenic Geometry -- 4 Geometry in the Hellenistic Era -- 5 The Geometry of Yesterday and Today -- 6 Geometry and the Real World -- II Introduction to Geometry -- 7 Axiomatic Geometry -- 8 Axiomatic Projective Geometry -- 9 Models for Non-Euclidian Geometry -- 10 Making Things Precise -- 11 Projective Space -- 12 Geometry in the Affine and the Projective Plane -- 13 Algebraic Curves of Higher Degrees in the Affine Plane ?2 -- 14 Higher Geometry in the Projective Plane -- 15 Sharpening the Sword of Algebra -- 16 Constructions with Straightedge and Compass -- 17 Fractal Geometry -- 18 Catastrophe Theory -- References

Mathematics Computer science -- Mathematics Geometry Physics Mathematics Geometry Mathematics general Theoretical Mathematical and Computational Physics Math Applications in Computer Science


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