The Non-Euclidean, Hyperbolic Plane

Name: The Non-Euclidean, Hyperbolic Plane
Brand: Springer, Berlin
SKU: 9780387905525
Price: 212.65 PLN
Availability: InStock

Its Structure and Consistency

Autor: P. Kelly, G. Matthews

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

Wysyłamy za 5-8 dni

212.65 zł

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

Informacje o książce

Autor

P. Kelly, G. Matthews

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2012

strony

333

EAN

9780387905525

ISBN

0387905529

Enbook ID

01383643

Wydawca

Springer, Berlin

Waga

480

Wymiary

10 x 10 x 10

Pełny opis

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.

Możesz być zainteresowany

Klienci, którzy kupili tę książkę, kupili również

Najczęściej wyszukiwane

Categories

Authors

Publishers

Produkty

Produkty

Najczęściej wyszukiwane

Categories

Authors

Publishers

Produkty

Produkty

The Non-Euclidean, Hyperbolic Plane

Its Structure and Consistency

Informacje o książce

Pełny opis

Możesz być zainteresowany

Klienci, którzy kupili tę książkę, kupili również