Geometry and the Imagination
by Conway, Doyle, Thurston
Publisher: Rutgers University, Newark 2018
Number of pages: 116
These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.
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by Wong Yan Loi - National University of Singapore
Contents: A Brief History of Greek Mathematics; Basic Results in Book I of the Elements; Triangles; Quadrilaterals; Concurrence; Collinearity; Circles; Using Coordinates; Inversive Geometry; Models and Basic Results of Hyperbolic Geometry.
by John C. Polking - Rice University
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.
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C. H. Hinton discusses the subject of the higher dimensionality of space, his aim being to avoid mathematical subtleties and technicalities, and thus enable his argument to be followed by readers who are not sufficiently conversant with mathematics.
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This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.