Chapter VIII: Additional sources of reference
For those who want more information, the Internet offers a wide variety of documentary sources that can provide more data about the discoverers of non-Euclidean geometries as well as some of the conclusions come through these geometries are certainly (and unfortunately we are) not taught in any school of education (including, not even teach undergraduate mathematics career in a large number of universities).
Wikipedia is now becoming the largest source of an enormous amount of information both because it is an encyclopedia "online", accessible instantly, without having to pay for an expensive subscription use, and the fact that contributions are placed there from the world by people who knows what he is talking.
on non-Euclidean geometries:
http://es.wikipedia.org/wiki/Geometr% C3% ADa_No-Euclidean
http://en.wikipedia.org/wiki/Non-Euclidian_geometry
On Parallel Postulate:
http://en.wikipedia.org/wiki/Parallel_postulate
Giovanni Girolamo Saccheri About:
http://en.wikipedia.org/wiki/Giovanni_Gerolamo_Saccheri
About Nicolai Lobachevsky:
http://en.wikipedia.org/wiki/Nikolai_Ivanovich_Lobachevsky
About
hyperbolic geometry: http:/
/ en.wikipedia.org / wiki / Hyperbolic_geometry
About Peano axioms for the axiomatization of mathematics :
http://en.wikipedia.org/wiki/Peano_axioms
work on Principia Mathematica , which is available online :
http://en.wikipedia.org/wiki/Principia_Mathematica
About Carl Friedrich Gauss :
http://es.wikipedia.org/wiki/Carl_Friedrich_Gauss
About Egregium Gauss Theorema:
http://en.wikipedia.org/wiki / Theorema_egregium
About Bernhard Riemann:
http://es.wikipedia.org/wiki/Bernhard_Riemann
On Riemann metrics:
http://es.wikipedia.org/wiki/Tensor_m % C3% A9trico
On differential geometry:
http://es.wikipedia.org/wiki/Geometr% C3% ADa_diferencial
On the geometry differential areas:
http://es.wikipedia.org/wiki/Geometr% C3% ADa_diferencial_de_superficies
educational tool on the Geometer's Sketchpad for interactive teaching of hyperbolic geometry: http
: / / www.dynamicgeometry.com/
A demonstration of the Poincaré hyperbolic disk generated with the Mathematica program can be found in the following link:
The
http://demonstrations.wolfram.com/PoincareHyperbolicDisk/ hyperbolic trigonometric functions three basic functions, the hyperbolic, the hyperbolic cosine and hyperbolic tangent, can be plotted interactively to suit the user with an application program through Internet immediately that someone put in the link activated webMathematica :
http://math.jccc. net: 8180/webMathematica/MSP/mmartin/sinh
http://math.jccc.net:8180/webMathematica/MSP/mmartin/cosh
http://math.jccc.net:8180/webMathematica/MSP/ mmartin / tanh
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