Measure Theory

By: Halmos, Paul R.

Price: $19.95

Quantity: 1 available

Book Condition: Used - Good

11th Printing (D. Van Nostrand - August 1966) No marks or writing observed in text. Binding tight and square. Gently read. . . . . . . . There comes a time when the budding probabilist or statistician seeks a more comprehensive treatement of measure theory than is afforded in the first few sections of a graduate text in pstats. I chose Halmos's 'Measure Theory' for this purpose for two primary reasons: i) Paul Halmos in my opinion is one of the best expository mathematics writers in history, and ii) years ago I paid $1 for the above-mentioned text (original Van Nostrand print) at a local thriftstore. My only perceived drawback was that likely some of his approach to measure theory may be outdated. After reading the text (up to the chapter on probability) my opinion of Halmos as a writer and mathematician not only has been elevated, but the book delivered the thorough study of measure theory that I had hoped for. Indeed, the author does an excellent job in presenting measure theory in its entire generality semi-rings, rings, hereditary rings, algebras, sigma algebras and their extensions are all considered in detail, as well as measures on these set systems: finitely additive , sigma additive, inner measures, outer measures, sigma-finite measures, the completion of measures, regular measures). I especially enjoyed his presentation of Fubini's Theorem along with the concept of 'section of a measurable set', which helped the theorem fall out effortlessly. I also found his presentation of different types of convergence (e.g. pointwise, uniform, almost uniform, in measure, in mean) very good and helped give me the bigger picture on modes of convergence. Theorem 22A is essentially a generalization of the Borel-Cantelli Lemma. -- Todd Ebert

Title: Measure Theory

Author Name: Halmos, Paul R.

Categories: Math,

Publisher: D. Van Nostrand Company: August 1966


Size: Hardcover

Book Condition: Used - Good

Jacket Condition: No Jacket

Seller ID: 68236