# Mathematics: As an Infrastructure of Technology and Science

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## Abstract

One of the roles of mathematics is to serve as a language to describe science and technology. The terminology is often common over several branches of science and technology. In this chapter, we describe several basic notions with the emphasis on what is the point of a definition and what are key properties. The objects are taken from set theory, groups and algebras.

### Keywords

Group Lie algebra Exponential map Spherical linear interpolation Unit quaternion### References

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© Springer Japan 2014