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Exploring classical Greek construction problems with interactive geometry software
- 作者： Meskens, Ad, author.
- 其他作者：
- 其他題名：
- Compact textbooks in mathematics.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Compact textbooks in mathematics,
- 主題： Geometry--History. , Geometrical constructions. , Geometry--Computer programs. , Mathematics. , Geometry. , History of Mathematical Sciences. , Mathematics Education.
- ISBN： 9783319428635 (electronic bk.) 、 9783319428628 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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, Viete 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.
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讀者標籤：
- 系統號： 005383360 | 機讀編目格式
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