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Description
Introductory Real AnalysisThis volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set
This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus.The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section -- there are 37 in all -- is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched.
With these problems and the clear exposition, this book is useful for self-study or for the classroom -- it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1975
ISBN: 9780486612263
Pages: 416
Weight: 1.10lbs
Size: 8.40h x 5.40w x 1.10d
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★★★★★ 5
Great Quality
Size: 34, Color: #01black
Shorts I ordered were great. Good quality and perfect fit. Exact color I ordered. Won’t hesitate in ordering more in the future
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Reviewed in the United States on May 9, 2026
★★★★★ 4
Online vs Instore
Size: 40, Color: #01khaki
As to be expected, not seeing and touching before purchase. I bought three pairs of these shorts in different colors for a trip to see my son graduate from his Army National guard AIT. I would rate the overall a five based on fit, quality, and comfort. One thing that I have to mark down, is they have elastic waist bands as described! In the description pic's, they are shown with nice long tie strings. The reality of what I received is the stings are too short to tie. They were almost the same circumference as the waist band, so only able to tie in a small knot, rather than a bow. no Biggy, until it's time for the restroom. Hopefully it's self explanitory....fumbling around with a knot! waist fits as stated to my size, but add weight of wallet and cell phone, and after a few steps, they begin to slide down. Tie string a must. I will see about finding something longer, as I do like them overall!
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Reviewed in the United States on October 7, 2023
★★★★★ 5
Great fabric and quality
These shorts were a gift for my boyfriend who loved how comfortable they were!!! They washed very well bought them to match an army t shirt and they both matched perfectly!!! Size was perfect would definitely recommend these for the man in your life!!
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Reviewed in the United States on January 26, 2026
★★★★★ 5
Amazon not delivering after 2 days past delivery date
Size: 36, Color: Camo
These shorts are awesome some of my favorite but Amazon has delayed the out for delivery 2 days in a row now from the original 2 days was supposed to be delivered
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Reviewed in the United States on April 25, 2026
★★★★★ 3
I love them but pockets tear easily
Size: 34, Color: #01black
I love them. They look nice and they are comfortable. I bought a total of three and they're all I wear in the summer.
Unfortunately the strap pockets wear out easily. On my left pocket I store a ridge wallet and my keys. For two of my most worn pair, the strap tore up to where it no longer holds the pocket closed properly. On one of those in the same pocket, a hole ended up torn in the corner. The third one I had to throw out after it shrunk after being washed improperly (can't wash them like I did my previous shorts which I washed the same way as the rest of my clothes).
I think I'll continue to wear them, maybe even buy one more, until I find something better.
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Reviewed in the United States on December 31, 2023