The Method of Coordinates - I. M. Gelfand

nThis introductory text explores the translation of geometric concepts into the language of numbers in order to define the position of a point in space (the orbit of a satellite, for example). The two-part treatment begins with discussions of the coordinates of points on a line, coordinates of points in a plane, and the coordinates of points in space. Part 2 examines geometry as an aid to calculation and the necessity and peculiarities of four-dimensional space. Written for systematic study, it features a helpful series of road signs in the margins, alerting students to passages requiring particular attention, and an abundance of ingenious problems - with solutions, answers, and hints - promote habits of independent work