Dimensional Analysis and the Pi Theorem

@article{Curtis1982DimensionalAA,
  title={Dimensional Analysis and the Pi Theorem},
  author={W. D. Curtis and J. David Logan and Willard A. Parker},
  journal={Linear Algebra and its Applications},
  year={1982},
  volume={47},
  pages={117-126}
}
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References

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Dimensional Analysis and the Buckingham Pi Theorem
Working from a simple example of a dimensional transformation, the essential elements are identified, and an abstract prototype transformation is defined. With the aid of careful definitions and a
Similarity methods for differential equations
1. Ordinary Differential Equations.- 1.0. Ordinary Differential Equations.- 1.1. Example: Global Similarity Transformation, Invariance and Reduction to Quadrature.- 1.2. Simple Examples of Groups of
The air wave surrounding an expanding sphere
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    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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When the surface of a sphere vibrates in any assigned manner the spherical sound waves which are propagated outwards can be represented by wellknown formulae provided that the motion is such that