Exploring Classical Greek Construction Problems with Interactive Geometry Software



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Éditeur :

Birkhäuser


Collection :

Compact Textbooks in Mathematics

Paru le : 2017-02-02



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Description

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

Pages
185 pages
Collection
Compact Textbooks in Mathematics
Parution
2017-02-02
Marque
Birkhäuser
EAN papier
9783319428628
EAN PDF
9783319428635

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
5478 Ko
Prix
42,19 €
EAN EPUB
9783319428635

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
9779 Ko
Prix
42,19 €