The Non Euclidean Hyperbolic Plane is popular PDF and ePub book, written by P. Kelly in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Non Euclidean Hyperbolic Plane can be Read Online from any device for your convenience.
The Non Euclidean Hyperbolic Plane Book PDF Summary
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.
Detail Book of The Non Euclidean Hyperbolic Plane PDF
- Author : P. Kelly
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461381259
- Genre : Mathematics
- Total Page : 345 pages
- Language : English
- PDF File Size : 17,9 Mb
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