000			02078nam 2200325| 4500
001			85028
005			20220110163008.0
010			_a978-3-319-42863-5 _dcompra
090			_a85028
100			_a20190128d2017 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aExploring classical greek construction problems with interactive geometry software _bDocumento electrónico _fAd Meskens, Paul Tytgat
210			_aCham _cSpringer International Publishing _cBirkhäuser _d2017
215			_aXII, 185 p. _cil.
225	2		_aCompact Textbooks in Mathematics
300			_aColocação: Online
303			_aIn 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.
410	1		_x2296-4568
606			_aGeometria
606			_aMatemática
680			_aQA443
700			_aMeskens _bAd
702			_964583 _aTytgat _bPaul
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-42863-5
942			_2lcc _cF _n0