Invert, always invert

Great mathematician Carl Jacobi who had notable contributions in the fields of differential equations, matrix theory, number theory and elliptic functions is attributed with the principle of ‘Invert, always invert’.
Simply put, the idea behind the principle was that, to solve a problem, try to invert the problem and solve for the inverse.
A simple mathematical example could be, to understand ‘logarithms’, one should first understand the ‘exponential equations’.
However, the principle is not just limited to the field of mathematics, it can be used as a thinking framework for solving problems in our daily lives.



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