World Scientific Publishing Company Real Analysis: Theory Of Measure And Integration (3rd Edition)

I can easily imagine this book being used as a review source for graduate students before taking qualifying exams. The material is very dense. If one is dedicated to learning all the details of measure theory and integration I can assert with absolute confidence that they are all here for the interested reader. - Mathematical Association of America 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.