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Field name	Details
Dewey Class	516
Title	Geometry ([Ebook]) : Our Cultural Heritage / by Audun Holme.
Author	Holme, Audun
Other name(s)	SpringerLink (Online service)
Edition statement	Second edition
Publication	Berlin, Heidelberg : Springer , 2010.
Physical Details	XIX, 551 pages,. 295 illus., 85 illus. in color. : online resource.
ISBN	9783642144417
Summary Note	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 its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend 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. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5.:
Contents note	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.
System details note	Access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-14441-7
Links to Related Works	Subject References: Computer Science . Geometry . Math Applications in Computer Science . Mathematics . Mathematics, general . Theoretical, Mathematical and Computational Physics . Authors: Holme, Audun . Corporate Authors: SpringerLink (Online service) . Classification: 516 . 516 (DDC 23) .

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Geometry: Our Cultural Heritage

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