LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516
Title	Exploring Classical Greek Construction Problems with Interactive Geometry Software ([EBook]) / by Ad Meskens, Paul Tytgat.
Author	Meskens, Ad
Added Personal Name	Tytgat, Paul author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Birkh?ser, , 2017.
Physical Details	XII, 185 p. 160 illus., 10 illus. in color : online resource.
Series	Compact Textbooks in Mathematics 2296-4568
ISBN	9783319428635
Summary Note	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, Vi?e 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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-42863-5
Links to Related Works	Subject References: Geometry . History . History of Mathematical Sciences . Mathematics . Mathematics Education . Authors: Meskens, Ad . Tytgat, Paul . Corporate Authors: SpringerLink (Online service) . Series: Compact Textbooks in Mathematics . Classification: 516 .

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Exploring Classical Greek Construction Problems with Interactive Geometry Software

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