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E. J McShane, "Integration (Princeton mathematical series)"

The swift development of analysis in the twentieth century,

beginning with the theory of the Lebesgue integral, has been of tremen-

dous mathematical importance. No mathematician today can afford

to be ignorant of the modem theories of integration, and it is to the

profit of a student- of mathematic

that he become acquainted with

these ideas early in his graduate studies. On the other hand, most of

the writings on integration are written by matur.e mathematicians for

mature mathematicians, often in an admirably concise form which is

not appreciated by a beginner. This book is written with the hope

that it will open a path to the Lebesgue theory which can be travelled

by students of little maturity.

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