The Non-Euclidean, Hyperbolic Plane

Name: The Non-Euclidean, Hyperbolic Plane
Brand: Springer, Berlin
SKU: 9780387905525
Price: 270.04 RON
Availability: InStock

Its Structure and Consistency

Autor: P. Kelly, G. Matthews

Limbă:

Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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The discovery of hyperbolic geometry, and the subsequent proof that this geometry is just as logical...

Informații despre carte

Autor

P. Kelly, G. Matthews

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

333

EAN

9780387905525

ISBN

0387905529

Enbook ID

01383643

Editura

Springer, Berlin

Greutate

480

Dimensiuni

10 x 10 x 10

Descriere completă

The discovery of hyperbolic geometry, and the subsequent proof that this geometry is just as logical as Euclid's, had a profound in fluence on man's understanding of mathematics and the relation of mathematical geometry to the physical world. It is now possible, due in large part to axioms devised by George Birkhoff, to give an accurate, elementary development of hyperbolic plane geometry. Also, using the Poincare model and inversive geometry, the equiconsistency of hyperbolic plane geometry and euclidean plane geometry can be proved without the use of any advanced mathematics. These two facts provided both the motivation and the two central themes of the present work. Basic hyperbolic plane geometry, and the proof of its equal footing with euclidean plane geometry, is presented here in terms acces sible to anyone with a good background in high school mathematics. The development, however, is especially directed to college students who may become secondary teachers. For that reason, the treatment is de signed to emphasize those aspects of hyperbolic plane geometry which contribute to the skills, knowledge, and insights needed to teach eucli dean geometry with some mastery.

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The Non-Euclidean, Hyperbolic Plane

Its Structure and Consistency

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Descriere completă

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