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 Curve Family Index (Visual Dictionary of Special Plane Curves) - Xah Lee A discussion of the many ways to classify curves, how they are named, a curve family tree, and interconnection between curves, with related Web sites about fractals and curves. Hosted by the Math Forum. more>> DG Differential Geometry (Front for the Mathematics ArXiv) - Univ. of California, Davis Differential Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. more>> Differential Geometry - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to differential geometry, the language of modern physics and an area of mathematical delight. Typically, one considers sets which are manifolds (that is, locally resemble Euclidean space) and which come equipped with a measure of distances. In particular, this includes classical studies of the curvature of curves and surfaces. Local questions both apply and help study differential equations; global questions often invoke algebraic topology. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> A Visual Dictionary of Special Plane Curves - Xah Lee Materials that demonstrate interesting properties of plane curves visually. Many concepts or properties of plane curves, such as cusp, tangent, evolute, involute, or envelope, are more readily explained by an illustration or animation. The mathematics in these pages are beginning college level; overall, the project is designed to educate and entertain. Mathematica, QuickTime, Sketchpad, and Cabri files are included, with methods of generating new curves and individual Special Plane Curves, from the Archimedian Spiral to the Witch of Agnesi. Also a Curve Family Index. Hosted by the Math Forum. more>>
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