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The Method of Coordinates (Dover Books on Mathematics) (Paperback)
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This 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.