The Method of Coordinates

The Method of Coordinates

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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
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Product details

  • Paperback | 80 pages
  • 137 x 217 x 6mm | 118g
  • New York, United States
  • English
  • Illustrations, unspecified
  • 0486425657
  • 9780486425658
  • 81,649

Table of contents

Foreword; Introduction; Part 1.
Chapter 1. The Coordinates of Points on a Line
1. The Number Axis
2. The Absolute Value of a Number
3. The Distance Between Two Points
Chapter 2. The Coordinates of Points in the Plane
4. The Coordinate Plane
5. Relations Connecting Coordinates
6. The Distance Between Two Points
7. Defining Figures
8. We Begin to Solve Problems
9. Other Systems of Coordinates
Chapter 3. The Coordinates of a Point in Space
10. Coordinate Axes and Planes
11. Defining Figures in Space
Part 2.
Chapter 1. Introduction
1. Some General Considerations
2. Geometry as an Aid in Calculation
3. The Need for Introducing Four-Dimensional Space
4. The Peculiarities of Four-Dimensional Space
5. Some Physics
Chapter 2. Four-Dimensional Space
6. Coordinate Axes and Planes
7. Some Problems
Chapter 3. The Four-Dimensional Cube
8. The Definition of the Sphere and the Cube
9. The Definition of the Sphere and the Cube
10. Problems on the Cube
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26 ratings
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3 15% (4)
2 8% (2)
1 0% (0)
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