Download The Facts On File Geometry Handbook (Facts on File Science by Catherine A Gorini PH.D. PDF

By Catherine A Gorini PH.D.

Here's a booklet that each one mathematicians and libraries would like to have, yet only a few humans might have the self-discipline to put in writing. this is often the last word gemoetry reference consultant, written in a mode that's comprehensible through all scholars of arithmetic. It has an outstanding biographical part and a desirable chronological timeline that let's you recognize what occurred in what yr.

I are looking to for my part thank Dr. Gorini for taking over a undertaking that many people within the arithmetic box have kept away from for a few years. It belongs on all our cabinets.

Best geometry and topology books

Introduction a la Topologie

Ce cours de topologie a été dispensé en licence à l'Université de Rennes 1 de 1999 à 2002. Toutes les buildings permettant de parler de limite et de continuité sont d'abord dégagées, puis l'utilité de los angeles compacité pour ramener des problèmes de complexité infinie à l'étude d'un nombre fini de cas est explicitée.

Spaces of Constant Curvature

This booklet is the 6th version of the vintage areas of continuing Curvature, first released in 1967, with the former (fifth) variation released in 1984. It illustrates the excessive measure of interaction among crew idea and geometry. The reader will enjoy the very concise remedies of riemannian and pseudo-riemannian manifolds and their curvatures, of the illustration concept of finite teams, and of symptoms of modern growth in discrete subgroups of Lie teams.

Additional info for The Facts On File Geometry Handbook (Facts on File Science Library)

Sample text

The empty set and a set containing one point are convex by convention. convex body A convex set that is closed, bounded, nonempty, and has at least one interior point. convex combination A sum of scalar multiples of one or more vectors where the scalars are non-negative and their sum is 1. A convex combination of two or more vectors lies in their convex hull. Convex polygon convex cover See convex hull. convex function A real-valued function f with the property that λ for f (1 − λλx1 ) + λλx2 ≤ (1 − λλx1 ) + λx 2 any two points x1 and x2 in the domain of the function and any λ in the interval [0, 1].

Central vanishing point The point on the horizon line in a perspective picture where the images of lines perpendicular to the picture plane meet. It is not necessarily in the center of the picture. glossary 26 center of a parallelogram – central vanishing point centrode – chord glossary centrode The instantaneous center of rotation of a rigid moving body. The centrode of two curves is the locus of the instantaneous center of rotation of a rigid body that has a point fixed on each curve. centroid The center of gravity of a geometric shape.

The other three points are the vertices of the circumcevian triangle. circumcircle A circle that intersects every vertex of a polygon. The center of the circumcircle of a triangle is the intersection of the three perpendicular bisectors of the sides of the triangle. circumconic A conic section that passes through the vertices of a given triangle. circumference The points of a circle. Also, the measure of the total arc length of a circle; it is 2π times the radius of the circle. circumnormal triangle The circumnormal triangle is obtained by rotating the circumtangential triangle by 60°.