Exploring Classical Greek Construction Problems with Interactive Geometry Software

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confro...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Meskens, Ad (Συγγραφέας), Tytgat, Paul (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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001 978-3-319-42863-5
003 DE-He213
005 20170206091751.0
007 cr nn 008mamaa
008 170206s2017 gw | s |||| 0|eng d
020 |a 9783319428635  |9 978-3-319-42863-5 
024 7 |a 10.1007/978-3-319-42863-5  |2 doi 
040 |d GrThAP 
050 4 |a QA440-699 
072 7 |a PBM  |2 bicssc 
072 7 |a MAT012000  |2 bisacsh 
082 0 4 |a 516  |2 23 
100 1 |a Meskens, Ad.  |e author. 
245 1 0 |a Exploring Classical Greek Construction Problems with Interactive Geometry Software  |h [electronic resource] /  |c by Ad Meskens, Paul Tytgat. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2017. 
300 |a XII, 185 p. 160 illus., 10 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Compact Textbooks in Mathematics,  |x 2296-4568 
505 0 |a 1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- Afterthoughts -- Solutions -- Index. 
520 |a In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers. 
650 0 |a Mathematics. 
650 0 |a Geometry. 
650 0 |a History. 
650 0 |a Mathematics  |x Study and teaching. 
650 1 4 |a Mathematics. 
650 2 4 |a Geometry. 
650 2 4 |a History of Mathematical Sciences. 
650 2 4 |a Mathematics Education. 
700 1 |a Tytgat, Paul.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319428628 
830 0 |a Compact Textbooks in Mathematics,  |x 2296-4568 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-42863-5  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)