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Exploring Classical Greek Construction Problems with Interactive Geometry Software
Taschenbuch von Ad Meskens (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2017
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
185 S.
150 s/w Illustr.
10 farbige Illustr.
185 p. 160 illus.
10 illus. in color.
ISBN-13: 9783319428628
ISBN-10: 3319428624
Sprache: Englisch
Herstellernummer: 978-3-319-42862-8
Autor: Meskens, Ad
Tytgat, Paul
Auflage: 1st ed. 2017
Hersteller: Birkhäuser
Springer, Berlin
Springer International Publishing
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Abbildungen: XII, 185 p. 160 illus., 10 illus. in color.
Maße: 239 x 156 x 9 mm
Von/Mit: Ad Meskens (u. a.)
Erscheinungsdatum: 17.02.2017
Gewicht: 0,328 kg
Artikel-ID: 108468898
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2017
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xii
185 S.
150 s/w Illustr.
10 farbige Illustr.
185 p. 160 illus.
10 illus. in color.
ISBN-13: 9783319428628
ISBN-10: 3319428624
Sprache: Englisch
Herstellernummer: 978-3-319-42862-8
Autor: Meskens, Ad
Tytgat, Paul
Auflage: 1st ed. 2017
Hersteller: Birkhäuser
Springer, Berlin
Springer International Publishing
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Abbildungen: XII, 185 p. 160 illus., 10 illus. in color.
Maße: 239 x 156 x 9 mm
Von/Mit: Ad Meskens (u. a.)
Erscheinungsdatum: 17.02.2017
Gewicht: 0,328 kg
Artikel-ID: 108468898
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