Geometry by Construction : Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries

Lingua: inglese

Editore: Universal Publishers, 2015

1627341293 / 9781627341295

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

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EUR 73,05

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nach der Bestellung gedruckt Neuware - Printed after ordering - College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the reader is encouraged to create the objects under investigation and verify the results with reasoning. Since both models of 'bent' spaces exist in Euclidean geometry, the reader gains facility with Euclidean moves through the whole book, even while exploring non-Euclidean spaces. The book itself is meant to be unpacked, expanded and taken further, just like the problems it contains.Geometry by Construction challenges its readers to participate in the creation of mathematics. The questions span the spectrum from easy to newly-published research and so are appropriate for a variety of students and teachers. From differentiation in a high school course through college classes and into summer research, any interested geometer will find compelling material.Teachers and professors might especially appreciate the way constructions provide open-ended questions which resist internet searches for solutions. College students should find the five refereed results from undergraduates like themselves encouraging. The active reader joins the mathematical tradition of a laboratory being a notebook plus a compass and ruler (or a dynamic geometry program on a computer.) New ideas await exploration and here are examples.

Codice articolo 9781627341295

Titolo
Geometry by Construction : Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries
Autore
Michael Mcdaniel
Editore
Universal Publishers
Anno di pubblicazione
2015
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
1627341293
ISBN 13
9781627341295
Peso dell'articolo
559 grammi
Dimensioni
260x208x13 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 7 giorni lavorativiDa 7 a 10 giorni lavorativi
Primo articoloEUR 30,50EUR 30,50
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