December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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9.10 Double Integrals
INTRODUCTION
In Section 9.8 we gave the five steps leading to the definition of the definite integral 
The analogous steps that lead to the concept of the two-dimensional definite integral, known simply as the double integral of a function f of two variables, will be given next.
- Let z = f(x, y) be defined in a closed and bounded region R of 2-space.
- By means of a grid of vertical and horizontal lines parallel to the coordinate axes, form a partition P of R into n rectangular subregions Rk of areas ΔAk that lie entirely in R.
- Let P be the norm of the partition or the length of the longest diagonal of the Rk.
- Choose a sample ...
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