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This article commences with a brief historical introduction to interval analysis and some applications in engineering. This is followed by a simple example motivating the use of interval analysis. A more detailed definition of interval analysis and some properties are then given followed by a discussion of the application of interval analysis to the problem of computing inclusions for the range of functions. A brief discussion of new types of interval based algorithms (mainly the interval Newton algorithm) is provided. The article is completed with a discussion of some application areas for interval analysis without claiming to be a complete survey.