Double integrals arise in a variety of scientific contexts, essentially as a way to calculate the product of quantities that vary. They are introduced in the first multivariable calculus course, together with the iterated (repeated) integrals that are often used to evaluate them. This chapter concentrates on definitions and properties,and begins with a problem in gravitational attraction that leads to double integrals. It then introduces a precise notion of area called Jordan content, and uses that to define the integral. The next chapter concentrates on evaluation, using iterated integrals,curvilinear coordinates, and the change of variables formula.
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