Measure Theory - 1st Edition - ISBN: 9780123708991, 9780080919614

Measure Theory

1st Edition

A First Course

Authors: Carlos Kubrusly
Hardcover ISBN: 9780123708991
eBook ISBN: 9780080919614
Imprint: Academic Press
Published Date: 20th November 2006
Page Count: 176
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This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intention is to introduce Measure Theory to a new generation of students, whether in mathematics or in one of the sciences, by offering them on the one hand a text with complete, rigorous and detailed proofs--sketchy proofs have been a perpetual complaint, as demonstrated in the many Amazon reader reviews critical of authors who "omit 'trivial' steps" and "make not-so-obvious 'it is obvious' remarks." On the other hand, Kubrusly offers a unique collection of fully hinted problems. On the other hand, Kubrusly offers a unique collection of fully hinted problems. The author invites the readers to take an active part in the theory construction, thereby offering them a real chance to acquire a firmer grasp on the theory they helped to build. These problems, at the end of each chapter, comprise complements and extensions of the theory, further examples and counterexamples, or auxiliary results. They are an integral part of the main text, which sets them apart from the traditional classroom or homework exercises.


measure theory Measure theory investigates the conditions under which integration can take place. It considers various ways in which the "size" of a set can be estimated.

This topic is studied in pure mathematics programs but the theory is also foundational for students of statistics and probability, engineering, and financial engineering.

Key Features

Key Features

  • Designed with a minimum of prerequisites (intro analysis, and for Ch 5, linear algebra)
  • Includes 140 classical measure-theory problems
  • Carefully crafted to present essential elements of the theory in compact form


Beginning graduate students and advanced undergraduates in Math, Statistics, Economics, Engineering, and Physics

Table of Contents

Measurability; Measure; Integral; Integrability; Spaces L^p; Convergence; Decomposition; Extension; Product


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© Academic Press 2007
Academic Press
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About the Author

Carlos Kubrusly


As a book for a first course, the author has definitely come up with a well-balanced interesting text: not too threatening for beginners and interesting enough for someone with some knowledge of the subject. --Professor N. Levan, UCLA (USA)