Lebesgue Integration and Measure

Front Cover
Cambridge University Press, May 10, 1973 - Mathematics - 281 pages
1 Review
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.
 

What people are saying - Write a review

User Review - Flag as inappropriate

BEST ONE

Contents

II
1
III
2
IV
8
V
11
VI
18
VII
20
VIII
22
IX
23
XX
106
XXI
119
XXII
134
XXIII
146
XXIV
162
XXVI
164
XXVII
172
XXVIII
181

X
30
XI
44
XII
54
XIII
63
XIV
70
XVI
77
XVII
83
XVIII
93
XIX
94
XXIX
188
XXX
202
XXXI
219
XXXII
223
XXXIII
241
XXXIV
277
XXXV
279
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information