Dimensional Analysis (2nd ed.)

Description

cited in ch. 1 of Bluman & Anco regarding dimensional analysis

This is the only book that I have on dimensional analysis that explicitly cites the Buckingham π theorem (ch. 4 "The Π Theorem", DjVu pp. 43-54) paper:

• E. Buckingham, “On Physically Similar Systems: Illustrations of the Use of Dimensional Equations,” Physical Review 4 , no. 4 (1914): 345–76.
• “Model Experiments and the Forms of Empirical Equations,” Transactions of the American Society of Mechanical Engineers 37 (1915): 263–296.
• “The Principle of Similitude,” Nature 96 , no. 2406 (December 1915): 396–97.

Bridgman promoted Duhem's energetics program.

p. 37(DjVu p. 44): A "complete" equation is where "the functional relation is of such a form that it remains true formally without any change in the form of the function when the size of the fundamental units is changed in any way whatever." Viz., it's scale-invariant in all its parameters/units. As Bluman & Anco p. 6 (PDF p. 17) puts it: "Under a change of system of units, the value of a dimensionless quantity is unchanged, i.e., its value is invariant under an arbitrary scaling of any fundamental dimension."