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Description
Integral, Measure and Derivative: A Unified ApproachThis graduate level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared Sci Tech Book News, "and will engage the interest of
This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared Sci-Tech Book News, "and will engage the interest of accomplished mathematicians."Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in n space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/17/2012
ISBN: 9780486635194
Pages: 254
Weight: 0.50lbs
Size: 8.22h x 5.62w x 0.50d
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★★★★★ 5
Indestructible
Style: Fetch Balls (Pack of 2), Size: 3 inch
These balls are indestructible! We have a lab and a lab mix and they CANNOT damage these balls. They love them for fetch and to just chew on them (slightly squishy, but NO damage). Best toys we have bought for them.
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Reviewed in the United States on April 19, 2026
★★★★★ 5
Great trial set. Just be careful throwing the orange one!
Style: Assorted Balls (Pack of 3), Size: 2.5 inch
Blue isn't that easy to see in the yard
White charges with bright light/UV and is truly a game changer for night-time fetch. Both dogs clearly favor it.
Orange is easy to see in the grass at day
They're 3 different weights as well, so double trial. I prefer medium for my big dogs, though light performs well too
The orange is HEAVY and unyielding. Do NOT throw it with a ball thrower. It could damage your house or knock your dog out. Seems tough though.
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Reviewed in the United States on January 16, 2026
★★★★★ 3
Not as good as chuck it anymore
Style: Fetch Balls (Pack of 10), Size: 2.5 inch
I have bought these before and the where just like the chuck it balls. These are not those balls. The are lighter and my dog has already cause damage to one
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Reviewed in the United States on March 16, 2026
★★★★★ 5
Dog hasn’t destroyed the ball yet!
The ball that comes with this is amazing. I have a 1 yr pitty that destroys everything! But this ball she has not been able to rip apart. I bought extra balls I was so impressed. She loves it too, takes it to bed with her.lol
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Reviewed in the United States on April 15, 2026
★★★★★ 1
Cheaply made , waste of money
Cheap !! Lousy product did not fling at all. Lost the ball almost immediately since it went back instead of front. Do not recommend
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Reviewed in the United States on December 20, 2025
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