Structure of Lebesgue Integration Theory - ISBN:019853146X

Structure of Lebesgue Integration Theory

Date: 12 April 2011, 15:27

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The purpose of this work is to introduce the principles and techniques of the theory of integration in the general and simple form that we owe primarily to Lebesgue, de la Vallee-Poussin, and W. H. Young. It is addressed to those who are already familiar with the elementary calculus of differentiation and integration as applied to the standard functions of algebraical and trigonometrical type. Some slight acquaintance with the topology of open and closed sets may also now be presumed in most first-year undergraduates, for whom the book is written, but it is not essential. I have endeavoured to provide an account of the essentials of the theory and practice of Lebesgue integration that are indispensable in analysis, in theoretical physics, and in the theory of probability in a form that can be readily assimilated by students reading for honours in mathematics, physics, or engineering.

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