This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Finally, I recommend this book for a student who is helped by a good adviser. --Mathematical Reviews
Every concept is defined precisely and every theorem is presented with a detailed and complete proof. --Mathematics Abstracts
It is particularly suitable for a one-year course at the graduate level. --Zentralblatt MATH
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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