03719nam a22004695i 4500
978-3-642-14441-7
DE-He213
20170324004142.0
cr nn 008mamaa
100927s2010 gw | s |||| 0|eng d
9783642144417
978-3-642-14441-7
10.1007/978-3-642-14441-7
doi
QA440-699
PBM
bicssc
MAT012000
bisacsh
516
23
Holme, Audun.
author.
Geometry
[electronic resource] :
Our Cultural Heritage /
by Audun Holme.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2010.
XVII, 519 p.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
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.
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.
Mathematics.
Computer science
Mathematics.
Geometry.
Physics.
Mathematics.
Geometry.
Mathematics, general.
Theoretical, Mathematical and Computational Physics.
Math Applications in Computer Science.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783642144400
http://dx.doi.org/10.1007/978-3-642-14441-7
ZDB-2-SMA
Mathematics and Statistics (Springer-11649)
45698
45698