ENGLISH

Volume and integral

By Rogosinski W.W.

Book information

Publisher
Oliver and Boyd
Year
1952
ASIN
B0000CIECE
Language
english
Format
DJVU
Filesize
1 MB (1437681 bytes)
Pages
164\164
Library
Kolxo3
DPI
600
Time added
2010-07-29 05:14:56

Description

This introduction to the theory of the Lebesgue Integral is primarily intended for third-year Honours students. A consistently geometrical approach has been chosen in order to show the simple underlying ideas. First, the volume of an n-dimensional set is defined as it s Lebesgue Measure. The integral of a non-negative function of n real variables is then the volume of its ordinate set; the extension to general functions follows easily. The old notion of the Riemann Integral is similarly developed; its relation to the Lebesgue Integral and the striking advantages of the latter are clearly set out.

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