Lebesgue Measure and Integration: An Introduction

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John Wiley & Sons, 1998 - Mathematics - 292 pages
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A superb text on the fundamentals of Lebesgue measure and integration.

This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area" and "area under a curve" that led eventually to Lebesgue measure and integration.

Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed.
  

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This book is a good companion for mathematics students especially the undergraduates.

Contents

II
1
III
2
IV
3
V
5
VI
7
VII
10
VIII
12
IX
15
XXVI
87
XXVII
90
XXVIII
93
XXIX
100
XXX
112
XXXI
115
XXXII
120
XXXIII
126

X
17
XI
20
XII
22
XIII
25
XIV
26
XV
32
XVI
34
XVII
35
XVIII
42
XIX
49
XX
51
XXI
62
XXII
66
XXIII
71
XXIV
73
XXV
75
XXXIV
135
XXXV
137
XXXVI
141
XXXVII
147
XXXVIII
173
XXXIX
194
XL
224
XLI
237
XLII
252
XLIII
266
XLIV
273
XLV
276
XLVI
279
XLVII
285
XLVIII
288
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About the author (1998)

FRANK BURK teaches in the Department of Mathematics at California State University.

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