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1. The Elements of Integration and Lebesgue Measure by Robert G. Bartle | |
Paperback: 192
Pages
(1995-01-23)
list price: US$133.00 -- used & new: US$105.37 (price subject to change: see help) Asin: 0471042226 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
Best introduction to integration theory.
A good introduction: concise and clear.
Good Integration and Measure Into (A Bit Expensive Though)
IF YOU WANT TO UNDERSTAND MEASURE THEORY...
Excellent as an itroduction and as a reference Assuming almost no strongmathematical background, Bartle is able to build up the basic Lebesgueintegral theory introducing the fundamental abstract concepts(sigma-algebra, measurable function, measure space, "almosteverywhere", step function, etc.) in such an easy way that the studentis not only able to handle them but to UNDERSTAND them. From the firstpart of the book I appreciate specially chapters 6, 7, and 10, on L_pspaces, modes of convergence, and product measures, respectively. Thesechapters contain the most used results of the basic theory, and they arestated exactly in the way one needs them, making the book very useful forfuture reference. I like the second part very much also, because itstresses the importance of measure theory by itself and not only as arequisite for integration theory. If you are interested in fractal geometryor geometric measure theory you will find chapters 11 to 17 veryhelpful. Since I own this book it has never been lazy in my bookshelf. ... Read more |
2. Measure Theory and Integration by Gar De Barra | |
Paperback: 240
Pages
(2003-07-28)
list price: US$75.00 -- used & new: US$75.00 (price subject to change: see help) Asin: 1904275044 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This updated and introductory text approaches integration via measure as opposed to measure via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail. Numerous worked examples necessary for teaching and learning at undergraduate level constitute a strong feature of the book, and after studying statements of results of the theorems, students should be able to attempt the 300 problem exercises which test comprehension, for which detailed solutions are provided. The book stems from a long-running successful course and presents the knowledge and experience of Dr. de Barra who has long taught and researched measure theory in London University. This 2nd edition has been updated by the attachment of Afternotes indicating how the subject has developed from material in the text, and misprints from the original have now been corrected. The only pre-requisite is a first course in analysis, and what little topology required is developed within the text. Customer Reviews (3)
Fatal inaccuracies
Something new in measure theory here
Something new in measure theory here |
3. Real Analysis: Theory of Measure And Integration by J. Yeh | |
Paperback: 760
Pages
(2006-06-29)
list price: US$82.00 -- used & new: US$73.80 (price subject to change: see help) Asin: 9812566546 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Good book for non-analysts
10/10
A gemstone for students |
4. Measure, Integral and Probability by Marek Capinski, Peter E. Kopp | |
Paperback: 312
Pages
(2004-07-20)
list price: US$49.95 -- used & new: US$28.00 (price subject to change: see help) Asin: 1852337818 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (15)
Do not use it alone
They need to inform customers of what they get through Amazon upgrade...(Please read before saying "Irrelevant")
Great For Self Study
absolutely useless
Excellent Book |
5. Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3) by Elias M. Stein, Rami Shakarchi | |
Hardcover: 392
Pages
(2005-03-14)
list price: US$72.50 -- used & new: US$48.09 (price subject to change: see help) Asin: 0691113866 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises. As with the other volumes in the series, Real Analysis is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels. Also available, the first two volumes in the Princeton Lectures in Analysis: Customer Reviews (6)
Great book
Not as good as the classics
great book
Good book for reading and as a graduate student
Suffers from all the flaws of a 1st edition |
6. Measure Theory (Volume 0) by Donald L. Cohn | |
Paperback: 388
Pages
(1994-01-01)
list price: US$64.95 -- used & new: US$45.00 (price subject to change: see help) Asin: 0817630031 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
A good introduction to Measure Theory
A great companion to Folland or Rudin
A Book of Clarity and Rigor
I like
The book is very good, but Amazon's digital upgrade is very poor |
7. Measure Theory and Probability by Malcolm Adams, Victor Guillemin | |
Hardcover: 228
Pages
(1996-01-26)
list price: US$59.95 -- used & new: US$33.66 (price subject to change: see help) Asin: 0817638849 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Graduate Measure Theory w.r.t. Probability
Great Introduction to Measure Theory |
8. Introduction to Measure and Integration by M.E. Monroe | |
Hardcover:
Pages
(1959-01-01)
Asin: B00410YYCU Canada | United Kingdom | Germany | France | Japan | |
9. Measure and Integration Theory (De Gruyter Studies in Mathematics) by Heinz Bauer | |
Hardcover: 236
Pages
(2002-01)
list price: US$58.00 -- used & new: US$46.40 (price subject to change: see help) Asin: 3110167190 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The final chapter, essentially new and written in a clear and concise style, deals with the theory of Radon measures on Polish or locally compact spaces. With the main results being Luzin’s theorem, the Riesz representation theorem, the Portmanteau theorem, and a characterization of locally compact spaces which are Polish, this chapter is a true invitation to study topological measure theory. The text addresses graduate students, who wish to learn the fundamentals in measure and integration theory as needed in modern analysis and probability theory. It will also be an important source for anyone teaching such a course. |
10. Lebesgue Measure and Integration: An Introduction (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) by Frank Burk | |
Hardcover: 312
Pages
(1997-11-03)
list price: US$168.00 -- used & new: US$75.00 (price subject to change: see help) Asin: 0471179787 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
11. Lebesgue Integration and Measure by Alan J. Weir | |
Paperback: 296
Pages
(1973-06-29)
list price: US$53.00 -- used & new: US$51.05 (price subject to change: see help) Asin: 0521097517 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Good Attempt, Flawed Presentation
Great book However I found two little mistakes: In page 151, in the proof of the integral of a transformation, he makes use of the Dominated Convergence Theorem two times (one first time, at the begining of page 151, is right). Thats wrong because we can't "dominate" the function "g" when K -> inf. The correct proof involves divide the function in positive and negative parts and then aplicate Monotone Convergence Theorem. The same in the end of the proof when he generalizes to infinite measure sets. In page 157, equation (7) should be verified when ||h||<2*delta, not ||h||
Good introduction to the theory of Lebesgue integration |
12. Measure and Integration: A Concise Introduction to Real Analysis by Leonard F. Richardson | |
Hardcover: 237
Pages
(2009-07-07)
list price: US$89.95 -- used & new: US$70.00 (price subject to change: see help) Asin: 047025954X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis. The author develops the theory of measure and integration on abstract measure spaces with an emphasis of the real line and Euclidean space. Additional topical coverage includes:
The book's presentation lays the foundation for further study of functional analysis, harmonic analysis, and probability, and its treatment of real analysis highlights the fundamental role of translations. Each theorem is accompanied by opportunities to employ the concept, as numerous exercises explore applications including convolutions, Fourier transforms, and differentiation across the integral sign. Providing an efficient and readable treatment of this classical subject, Measure and Integration: A Concise Introduction to Real Analysis is a useful book for courses in real analysis at the graduate level. It is also a valuable reference for practitioners in the mathematical sciences. |
13. An Introduction to Measure And Integration by Inder K. Rana | |
Hardcover: 424
Pages
(2004-02-29)
list price: US$79.50 -- used & new: US$62.00 (price subject to change: see help) Asin: 1842651048 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study. For this edition, more exercises and four appendices have been added. Customer Reviews (1)
Full of small errors.Excellent, and brilliant book.Very thorough. |
14. Measure Theory and Probability Theory (Springer Texts in Statistics) by Krishna B. Athreya, Soumendra N. Lahiri | |
Paperback: 618
Pages
(2010-11-02)
list price: US$109.00 -- used & new: US$87.00 (price subject to change: see help) Asin: 1441921915 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is a graduate level textbook on measure theory and probability theory. It presents the main concepts and results in measure theory and probability theory in a simple and easy-to-understand way. It further provides heuristic explanations behind the theory to help students see the big picture. The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics. Prerequisites are kept to the minimal level and the book is intended primarily for first year Ph.D. students in mathematics and statistics. Customer Reviews (1)
Good Book But ... |
15. Introduction to Measure and Integration by S. J. Taylor | |
Paperback: 276
Pages
(1973-12-28)
list price: US$53.00 -- used & new: US$41.87 (price subject to change: see help) Asin: 0521098041 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
16. The Theory of Measures and Integration (Wiley Series in Probability and Statistics) by Eric M. Vestrup | |
Hardcover: 594
Pages
(2003-09-18)
list price: US$143.00 -- used & new: US$108.68 (price subject to change: see help) Asin: 0471249777 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
The New Standard for Measure Theory Books I believe after scrutinizing so many books, I have a very good baseline to judge Vestrup's work.Here are a few specific reasons: (1) If you don't like detail and revel in banging your head against the walls to figure out the skipped details in Billingsley, this is not the book for you.But If you are a first timer to measure theory, this is as good as it will get; All the major results of measure theory are presented in detailed and clear manner with few skipped details and few not-so-obvious "it is obvious" remarks. (2) Vestrup has a lot of exercises with lots of helpful hints.Some problems at first appear to be long and intimidating till you look closely and discover that Vestrup leads you through the problems with his hints. (3) Certain topics central to understanding of measure theory were given cursory coverage by most of the books mentioned above.Not Vestrup.For example, Vestrup devotes a whole chapter to extensions.This is just one example of many central ideas Vestrup develops meticulously and painstakingly. This book is fairly new and I think its popularity will grow as more students and professionals discover it.I suppose the only criticism I have is that the typesetting can be improved (second edition maybe?) There are a few other good books (Ash, Bartle, and Royden) that are out there that you may consider but again Vestrup trumps them all.Whatever you decide on, I strongly warn against using Billingsley. ... Read more |
17. General Integration and Measure by Alan J. Weir | |
Paperback: 312
Pages
(1979-08-31)
list price: US$41.99 -- used & new: US$34.56 (price subject to change: see help) Asin: 052129715X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
18. Measure Theory and Integration (Pure and Applied Mathematics) by M. M. Rao | |
Hardcover: 350
Pages
(2004-01)
list price: US$106.95 -- used & new: US$75.50 (price subject to change: see help) Asin: 0824754018 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines. Customer Reviews (1)
Jon's Review |
19. Vector Measures, Integration and Related Topics (Operator Theory: Advances and Applications) | |
Hardcover: 384
Pages
(2010-01-22)
list price: US$169.00 -- used & new: US$148.29 (price subject to change: see help) Asin: 3034602103 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in the area and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, and functional analysis. The material is of interest to experts, young researchers and postgraduate students. |
20. Toward a Final Personality Integration: A Measure for Health, Social Change and Leadership by A.Reza Arasteh | |
Hardcover: 310
Pages
(1975-10)
list price: US$12.50 Isbn: 0470033053 Canada | United Kingdom | Germany | France | Japan | |
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