What are the Errata in Thomas' Calculus 11th Edition?

[Jimmy Snyder]

Here is an obvious typo. On page 470 the first line of equations in the section entitled "The Differential Form", it has:

$$S = \int_{c}^{d}2\pi x\sqrt{(\frac{dx}{dy})^2} dy$$

it should be:

$$S = \int_{c}^{d}2\pi x\sqrt{1 + (\frac{dx}{dy})^2} dy$$

 

[Jimmy Snyder]

Here's a good one. On page 860 in the discussion of torque, he writes:

When we turn a bolt by applying a force F to a wrench (Figure 12.32), the torque we produce acts along the axis of the bolt to drive the bolt forward.

The figure shows the torque vector presumably driving the bolt forward as if it were a force and the bolt presumably moving forward because it is threaded in such a way as to make the author's words seem reasonable. However, if the bolt had been threaded the other way, I suppose the torque would drive the bolt backwards, a rather difficult thing to explain.