The authors describe systematic methods for uncovering scientific
laws a priori, on the basis of intuition, or "Gedanken
Experiments". Mathematical expressions of scientific laws are, by
convention, constrained by the rule that their form must be
invariant with changes of the units of their variables. This
constraint makes it possible to narrow down the possible forms of
the laws. It is closely related to, but different from, dimensional
analysis. It is a mathematical book, largely based on solving
functional equations. In fact, one chapter is an introduction to
the theory of functional equations.
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