Customer Reviews

Real Analysis: Theory of Measure And Integration

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This book covers a lot of material on measure and integration and the author wrote certainly one of the most solicitous book in this subject.

Over 700 pages long, this book will surely cover all the contents of a classical course on measure and integration theory. All explanations and proofs are written in a highly didactical way. This means that the author did not care much about conciseness, and took a great amount of work by choosing good notations and developing his arguments caring with the student understanding in mind. Other books on the subjects are mostly too concise in their explanations or do not cover too many topics or ,wrose, are not written with the sufficient care to be called a didactic book.

The result is a elegant, encyclopedic and useful book on understanding the basics of measure and integration.

Great book for graduate students in statistics and electrical engineering. Author provides a good set of topics written in an accessible manner, including explicit proofs. In an ideal world on would get to spend a year studying this book before taking a measure theoretic probability course. It would be difficult to beat this book in general, and for the price it is even tougher. An alternative, which is a shorter book but contains some different topics of particular interest in probability, is "Measure Theory" by Donald L. Cohn. I don't know if I could recommend one over the other, but if you were to buy two books, these are probably the two you want.

I started learning measure theory this semester and bought several books on the matter. This one rose to the top very quickly . It is very clear and very thorough. It's become one of two books I use to learn the subject(the other book is Bartle's Measure and Integration.)