Math 2.0

Real functions Concept

Double integral

Builds on Function of several variables

Summary

The double integral of a function of two variables over a region of the plane is a limit of Riemann sums. The partitions of the region into small rectangles become finer and finer. For a non-negative function it is the volume of the solid between the region and the graph.

Reading path

To understand this page from the ground up, read these 4 pages in order. The foundations come first.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptDouble integral, concept, no evidence levelDouble integralconcept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Double integral concept

Where this leads

8 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Multiple_integral, Introduction
  2. Web https://en.wikipedia.org/wiki/Multiple_integral, Double integral over a rectangle
About this page
Tag0WAR4F23B4
URIm2://0WAR4F23B4
Aliasesdouble-riemann-integral
Kindconcept
WritingW1 stated
MSC26B15
UsesFunction of several variables

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  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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