# Interpolation

Pronunciation: /ɪnˌtɜr.pəˈleɪ.ʃən/ Explain

Interpolation is a process for approximating the value of a function that is difficult to find. For example, say you want to approximate the value of .

StepCalculationsDescription
1Start with 1 and 4.Find numbers larger and smaller than 3.7 that have easy to calculate square roots.
2 The square root of 1 is 1.
3 The square root of 4 is 2.
4 What part of the way is 3.7 between 1 and 4?
5 About how much more is the square root of 3.7 than the square root of 1.
6 Approximate the square root of 3.7. The actual value of the square root of 3.7 is about 1.9235.

### References

1. McAdams, David E.. All Math Words Dictionary, interpolation. 2nd Classroom edition 20150108-4799968. pg 101. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Rice, Herbert L.. The Theory and Practice of Interpolation. www.archive.org. Last Accessed 8/7/2018. http://www.archive.org/stream/theorypracticeof00rice#page/n5/mode/1up. Buy the book
3. Fraser, Duncan C.. Newton's Interpolation Formulas. vol LI pp 77-106,211-232 Oct 1918 - Aug 1919. www.archive.org. Reprinted from the Journal of the Institute of Actuaries. C. & E. Latton. Last Accessed 8/7/2018. http://www.archive.org/stream/newtonsinterpola00frasrich#page/n1/mode/2up. Buy the book
4. Steffenson, J. F.. Interpolation. 2nd edition. Reprint from 1950 edition. Dover Publications. March 17, 2006. Last Accessed 8/7/2018. Buy the book

### Cite this article as:

McAdams, David E. Interpolation. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/interpolation.html.

### Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
8/6/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
2/18/2010: Added "References". (McAdams, David E.)
12/2/2008: Changed equations to images. (McAdams, David E.)
9/16/2008: Initial version. (McAdams, David E.)

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