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Compact Textbooks in Mathematics

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Authors: Meskens, Ad, Tytgat, Paul

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  • This book is the first to apply Interactive Geometry Software to classic Greek construction problems in a didactical, enquiry based approach
  • The history of classic Greek construction problems explored with IGS
  • An exciting enquiry based and novel approach to Greek construction problems
  • While designed as enrichment material for classroom use it will appeal to anyone curious about the classic Greek construction problems
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eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-319-42863-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
About this book

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.

Reviews

“This book provides historical sketches to accompany the problems. This places the activity in context, and will motivate some students to look more closely at the culture and history of mathematics. I thoroughly enjoyed the opportunity to review this book, and recommend it to anyone interested in this area of mathematics. … The book is clearly written while remaining brief and is excellently illustrated. The exercises are interesting and in my view well-judged for undergraduate students.” (Chris Sangwin, International Journal of Research in Undergraduate Mathematics Education, Vol. 4, 2018)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-319-42863-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Exploring Classical Greek Construction Problems with Interactive Geometry Software
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42863-5
DOI
10.1007/978-3-319-42863-5
Softcover ISBN
978-3-319-42862-8
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XII, 185
Number of Illustrations
150 b/w illustrations, 10 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.