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The Method of Coordinates
I. M. Gelfand
E. G. Glagoleva
A. A. Kirillov
出版
Courier Corporation
, 2002-01-01
主題
Mathematics / Study & Teaching
Mathematics / Geometry / General
ISBN
0486425657
9780486425658
URL
http://books.google.com.hk/books?id=In-stSVAf5wC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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