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I'm reading through a probability textbook right now (Pattern Recognition and Machine Learning by Bishop) and it makes heavy use of "vector calculus".

"Vector Calculus" is in quotations, because it's unlike the vector calculus that I learned in my courses (gradients, curls, divergence, etc...).

There's lots of formulas where he literally takes the derivative of a function with respect to a vector. Or he integrates a formula with respect to a vector.

What field of mathematics is this? And are there any good books where can I learn more about it?

Thanks

-Patrick

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# What field is this called?

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