What Is Coordinate System

This section provides an introduction of coordinate system, which is a mathematical model associated with a frame of reference that converts every location in the frame into set of numeric value or values.

What Is a Coordinate System? A coordinate system is a mathematical model associated with a frame of reference that converts every location in the frame into a set of numeric value or values.

For example, to describe the location of the mercury surface level in a thermometer, we can use a frame of reference using 2 specific mercury surface levels:

Then we can create a coordinate system for this frame of reference as below:

Now we can describe any location of the mercury surface level using a numeric number. For example, if you put the thermometer in air conditioned room, the mercury surface level may stays at the 20th scale location, this location can be described now as 20 degrees.

Coordinate System Associated to Frame of Reference
Coordinate System Associated to Frame of Reference

You can create multiple coordinate systems for a single frame of reference. In that case, the same location will be described with different numbers in different coordinate systems.

For example, there are 3 coordinate systems exist today to describe a temperature: the Celsius system, the Fahrenheit system and the Kelvin system. The freezing point is described as 3 different numbers:

Last update: 2014.

Table of Contents

 About This Book

 Introduction of Space

Introducion of Frame of Reference

 What Is Frame of Reference

 Frame of Reference with 2 Objects

What Is Coordinate System

 2-Dimensional Cartesian Coordinate System

 3-Dimensional Cartesian Coordinate System

 1 Frame of Reference with 2 Coordinate Systems

 Introducion of Time

 Introduction of Speed

 Newton's Laws of Motion

 Introduction of Special Relativity

 Time Dilation in Special Relativity

 Length Contraction in Special Relativity

 The Relativity of Simultaneity

 Introduction of Spacetime

 Minkowski Spacetime and Diagrams

 References

 PDF Printing Version