An Introduction to Measure and Probability | 
 enlarge | Author: J.c. Taylor
Publisher: Springer
Category: Book
List Price: $59.95
Buy New: $15.99
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Rating:  3 reviews
Sales Rank: 1753597
Media: Paperback
Edition: Corrected
Pages: 320
Number Of Items: 1
Shipping Weight (lbs): 1
Dimensions (in): 9.1 x 6.1 x 0.7
ISBN: 0387948309
Dewey Decimal Number: 519.2
EAN: 9780387948300
Publication Date: July 31, 1998
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Product Description
Assuming only calculus and linear algebra, this book introduces the reader in a technically complete way to measure theory and probability, discrete martingales, and weak convergence. It is self-contained and rigorous with a tutorial approach that leads the reader to develop basic skills in analysis and probability. While the original goal was to bring discrete martingale theory to a wide readership, it has been extended so that the book also covers the basic topics of measure theory as well as giving an introduction to the Central Limit Theory and weak convergence. Students of pure mathematics and statistics can expect to acquire a sound introduction to basic measure theory and probability. A reader with a background in finance, business, or engineering should be able to acquire a technical understanding of discrete martingales in the equivalent of one semester. J. C. Taylor is a Professor in the Department of Mathematics and Statistics at McGill University in Montreal. He is the author of numerous articles on potential theory, both probabilistic and analytic, and is particularly interested in the potential theory of symmetric spaces.
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| Customer Reviews:
 I see. April 19, 2002
irrational (metric space)
4 out of 17 found this review helpful
I find it strange that the first reviewer claims he/she has an undergraduate degree in math INCLUDING A COURSE IN REAL ANALYSIS and has never encountered the terms 'inf' or 'sup'. Oh yeah, they also have a Ph.D in statistics. Wow, how did you manage that without measure theory!?
Useful for Daily Housecleaning November 3, 1999
18 out of 57 found this review helpful
A very useful book that teaches one how to measure things in a way that is probably very good. I often use it as a reference when I'm trying to redecorate the Banach spaces in my house, especially those hard-to-reach corners. It covers a huge range of topics from the inspired to the quotidian - from the delicate integrationist interior design principles of the famous French decorator Lebesgue, to the best sink-unclogging techniques with that mundane yet miraculous product "Doob". The new edition includes an entire chapter on household safety: from how to secure back doors with the appripriate use of Markov chains, to an exhortation to have our houses tested for dangerous chemicals such as Radon and Nikodym. Comes equipped with a tape measure inside the back cover in both Imperial British and Imperial Aztec units. I must go now: the martingales are singing outside my window.
 It's all there November 26, 2000
11 out of 13 found this review helpful
Somewhat helpful, but expect to spend lots of time finding the "nuggets". There is a "stream of consciousness" flavor to this book, originating as teaching notes. For example, the author begins by using "lub" for "least upper bound" then switches to the synonym "sup" but without bothering to define it. Later he points out that "sup" stands for "supremum" and means the same thing as "lub". He also switches back and forth between the synonyms "sigma-algebra" and "sigma-field". So, it is probably all there, but not necessarily in the most "user friendly" order, at least for those learning the material. A fair bit of the teaching is in the "exercises", but sometimes the author regards the solution as "obvious" and moves on, leaving me without knowing how to solve the exercise, and the solution turns out to be material to further progress. I have an undergraduate mathematics background including real and complex analysis and also a Ph.D. in Statistics. The book is interesting but a very slow read for me. Expect to spend lots of time with just chapter 1 if you want to understand anything in Chapter 2, for example.
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