Definition:Differential of Mapping/Notation
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Notation for Differential
There are various notations for the differential of a function $f$ at $x$:
- $\map {\d f} x$
- $\d f_x$
- $\d_x f$
- $\map {D f} x$
- $D_x f$
Substituting $\d y$ for $\map {\d f} {x; h}$ and $\d x$ for $h$, the following notation emerges:
- $\d y = \map {f'} x \rd x$
hence:
- $\d y = \dfrac {\d y} {\d x} \rd x$
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 13$: Differentials: $13.51$
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 10.4$