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  • The Method of Coordinates by I. M. Gelfand book cover
  • The Method of Coordinates by I. M. Gelfand book cover
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The Method of Coordinates

by I. M. Gelfand

Geometry expressed through coordinates

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AlbakiReads Editorial

Geometry expressed through coordinates

I. M. Gelfand’s introductory text traces how geometric ideas can be represented numerically, moving from points on a line to points in a plane and in space. Its second part considers geometry as a tool for calculation and introduces the peculiarities of four-dimensional space. The two-part structure gives the subject a clear progression from basic coordinate systems to broader questions about dimension and computation. Marginal “road signs” flag passages that call for particular attention, while problems accompanied by solutions, answers, and hints support independent study.

Good fit for readers who enjoy

  • Students beginning the study of analytic geometry
  • Learners who want structured practice with problems and supporting answers or hints
  • Readers interested in coordinates, geometric calculation, and four-dimensional space

Themes

Coordinates and geometric representationPoints in one, two, and three dimensionsGeometry as a tool for calculationFour-dimensional spaceIndependent mathematical study

Based on publisher information and book metadata.

Book overview

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
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