| Exploring Classical Greek Construction Problems with Interactive Geometry Software 2017 Edition Contributor(s): Meskens, Ad (Author), Tytgat, Paul (Author) |
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ISBN: 3319428624 ISBN-13: 9783319428628 Publisher: Birkhauser OUR PRICE: $47.49 Product Type: Paperback Published: February 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | History & Philosophy - Education | Teaching Methods & Materials - Mathematics |
| Dewey: 370 |
| Series: Compact Textbooks in Mathematics |
| Physical Information: 0.42" H x 6.14" W x 9.21" (0.63 lbs) 185 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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, Vi te 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. |