Item description for Real Analysis: Theory of Measure And Integration by J. Yeh...
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.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1.5" Width: 5.75" Height: 8.75" Weight: 2.4 lbs.
Release Date Jun 29, 2006
Publisher World Scientific Publishing Company
ISBN 9812566546 ISBN13 9789812566546
Reviews - What do customers think about Real Analysis: Theory of Measure And Integration?
Good book for non-analysts Jan 23, 2010
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.
10/10 Oct 18, 2008
Olcu teorisi ve integrasyon uzerine yazilmis kitaplar arasinda kesinlikle acik ara onde Yeh 'in kitabi, Rudin,Bartle ya da Royden 'in kitaplarindaki önemli teoremlerin ve ispatlarin okuyucuya birakma veya ispatlari atlayarak hizlica gecme gelenegi kesinlikle yok. Butun ispatlar derinlemesine ve ciddi anlamda tatmin edici. Ancak genede soyut yapi ilk okuyanlarin gözünü korkutabilir, ancak kesinlikle vazgecilmemesi gereken bir kitap. 4. bölümdeki Klasik Banach Uzaylari bölümünün ilk birkaç altbölümü ise fonksiyonel analize giris saglamasi yönünden önemli.
Hernekadar gereginden çok daha fazlasini da içerse ve çalisirken belli bir noktadan sonra detaylardan dolayi yorsa da bastan sona okunmasi daha ileriki konularin daha net sekilde anlasilmasi icin gerekiyor
A gemstone for students Aug 13, 2008
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.