Confusing use of the term "curvature" when gradient is meant in chapter 2

[DrEntropy]

In the 3rd edition (and also 2nd edition) there needs to be a small wording clarification.
In the section describing gradients, the book says that “the gradient … represents the curvature of the multidimensional surface.”
In standard calculus, the gradient describes local slope / direction of steepest ascent, while curvature is a second-order concept (Hessian). I think “curvature” here is just informal wording, but taken literally it’s mathematically incorrect and could confuse readers with a calc background, and lead to confusion for readers later.
Might be worth a small wording tweak (e.g. “slope” or “local geometry”) in a future revision.

[ifond]

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