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A few shades of interpolation
Snapshots of modern mathematics from Oberwolfach
A few shades of interpolation
The topic of this snapshot is interpolation. In the ordinary sense, interpolation means to insert something of a different nature into something else. In mathematics, interpolation means constructing new data points from given data points. The new points usually lie in between the already known points. The purpose of this snapshot is to introduce a particular type of interpolation, namely, polynomial interpolation. This will be explained starting from basic ideas that go back to the ancient Babylonians and Greeks, and will arrive at subjects of current research activity.
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Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chemistry and Earth Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
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DOI (Digital Object Identifier)
10.14760/SNAP-2017-007-EN
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snapshots: overview
Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Didactics and Education
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Discrete Mathematics and Foundations
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Numerics and Scientific Computing
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chemistry and Earth Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Computer Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/finances-12.png?itok=lG8MBRm4)
Finance
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/humanities-02.png?itok=RscY9Rzd)
Humanities and Social Sciences
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/life-sciences-01.png?itok=3JrkXVc3)
Life Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/physics-05.png?itok=QpsS2HhD)
Physics
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Reflections on Mathematics