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Articles related to "Non Euclidean Geometry"
Euclidean v Non-Euclidean Geometry While most people are far more familiar with the basic principles of Euclidean geometry, scientists have come to discover that the shape of our universe is non-Euclidean. euclid of alexandria • greek mathematicians • euclidean geometry • non-euclidean geometry • the shape of the universe
A Definition of Fractal Geometry One of the interesting developments of modern mathematics is the exploration of new forms of geometry which do not adhere to "standard" definitions. fractal geometry • chaos theory • coastline analogy for fractals • self-similarity • non-euclidean geometry
Carl Friedrich Gauss Brief biography of Carl Friedrich Gauss, one of the greatest and most influential mathematicians in history. He made advances in number theory. carl friedrich gauss • gauss biography • gauss german mathematician • gauss physicist • gauss number theory of series
Euclid's Fifth Axiom Very few seemingly incontrovertible mathematical statements throughout history have wreaked quite as much havoc as Euclid's controversial fifth axiom. euclid's fifth axiom • the parallel postulate • non-euclidean geometry • proving euclid's fifth axiom • karl friedrich gauss
Gravity and General Relativity In essence, Einstein's General Theory of Relativity was an entirely new theory of gravity, replacing the centuries-old theories of Isaac Newton. curved spacetime • gravity • general relativity • what is gravity • the equivalence principle
Hyperbolic Geometry One of the most common families of non-Euclidean geometry is hyperbolic geometry - a self-consistent geometry of "obtuse" curvature. hyperbolic geometry • saddle-shape geometry • hyperparallelism • euclidean geometry • non euclidean geometry
Spherical Geometry While most people are familiar with foundational geometrical principles which are essentially "flat," non-Euclidean geometry plays an important role in many cases. spherical geometry • surface of a globe • euclidean geometry • non euclidean geometry • geodesic
Examples of Mathematical Fractals Clever mathematicians over the years have devised some interesting and visually stunning examples of fractal figures which help them to better understand this concept. fractal geometry • what is a fractal • self-similarity • benoit mandelbrot • mandelbrot set
Lie Groups The term "lie group" (pronounced "lee") refers to certain classifications of manifolds - a highly technical, difficult form of mathematics, but one with great pragmatic lie group • lie algebra • differential calculus • differentiability • continuity
Introduction to Topology Topology is the study of the mathematics of various shapes; it defines their features and the possible manipulations they can undergo while retaining their shape. topology • donut into coffee cup • homeomorphism • leonard euler • seven bridges of konigsberg
Web Scavenger Hunts for Students Web scavenger funts are a fun way to teach research and critical thinking skills while students learn about a particular topic, such as the Revolutionary War. This article lists many fun web sites. web hunts • treasure hunts • scavenger hunts • computers • technology
The Legacy of General Relativity When Einstein published his General Theory of Relativity, surely even he could not be fully aware of the profound effect it would have on the scientific community. general relativity • results of general relativity • albert einstein • what is general relativity • curved spacetime |
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