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Description
Primes of the Form x2+ny2Condition: BRAND NEW ISBN: 9781118390184 Year: 2013 Publisher: John Wiley & Sons Inc (US) Pages: 384 Description: An exciting approach to the history and mathematics of number theory ?. . . the author? s style is totally lucid and very easy to read . . . the result is indeed a wonderful story.? ? Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p =
Condition: BRAND NEWISBN: 9781118390184
Year: 2013
Publisher: John Wiley & Sons Inc (US)
Pages: 384
Description:
An exciting approach to the history and mathematics of number
theory
?. . . the author?s style is totally lucid and very
easy to read . . .the result is indeed a wonderful story.?
?Mathematical Reviews
Written in a unique and accessible style for readers of varied
mathematical backgrounds, the Second Edition of Primes of
the Form p = x2+ ny2
details the history behind how Pierre de Fermat?s work
ultimately gave birth to quadratic reciprocity and the genus theory
of quadratic forms. The book also illustrates how results of Euler
and Gauss can be fully understood only in the context of class
field theory, and in addition, explores a selection of the
magnificent formulas of complex multiplication.
Primes of the Form p = x2 +
ny2, Second Edition focuses on
addressing the question of when a prime p is of the form
x2 + ny2,
which serves as the basis for further discussion of various
mathematical topics. This updated edition has several new notable
features, including:
? A well-motivated introduction to the classical
formulation of class field theory
? Illustrations of explicit numerical examples to
demonstrate the power of basic theorems in various situations
? An elementary treatment of quadratic forms and genus
theory
? Simultaneous treatment of elementary and advanced
aspects of number theory
? New coverage of the Shimura reciprocity law and a
selection of recent work in an updated bibli
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4.7 ★★★★★
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Product Reviews
★★★★★ 5
Keep paper in place
Hold paper perfect
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 19, 2026
★★★★★ 5
Does What It's Meant To Do!
Life changer for my "Edge-Peeing Pup!" Easy to clean, portable (just rolls up for travel) and does it's job. Very happy with this purchase!
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Reviewed in the United States on April 19, 2026
★★★★★ 5
Help training kitten poop
I have young kitten. It is attractive to me to use the Potty Training Tray. Kitten does not know to go to litter box initially. And they even eat cat litter. For safety, the trining tray is a good start to train their poop habit and also help a smooth transition to litter box when they get older.
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Reviewed in the United States on April 9, 2026
★★★★★ 5
Training pad holder literally rises above the competition
Size: 24"X24"
We have been through a variety of potty pad products during our housetraining journey with our Havanese pup. The Petphabet training pad holder has been the best by far and has ended our search for a number of reasons:
Pros:
1. Grid design keeps puppy from chewing/tearing/destroying/eating the potty pad.
2. Size is perfect for our pup even as he is getting bigger (15 lbs) - mileage may vary for larger pups/dogs.
3. HERE IS THE REASON THIS PAD HOLDER STANDS OUT AMONG THE COMPETITION - The top grid is elevated off the surface layer where the pad lays, which allows an air gap between the standing surface and the potty pad. This allows the urine to fall to the pad without pooling and without your pup stepping in it and tracking it everywhere!
Cons/Areas for improvement:
1. We like blue but it's not for everyone!
2. The "posts" holding the mesh up from the base carry all of the weight of the dog and in some cases jumping or playing on the pad holder can cause the edges of the posts to cut through the potty pad liner, causing a (minor) leak. I would recommend the manufacturer design any subsequent models with larger, flat surfaces on the post supports.
3. The 4 piece design means the base is not solid but has a split down the middle that is not waterproof. This can be remedied by caulking the 2 sides of the base together with clear silicone assuming you will no longer need to disassemble the unit.
4. Poo can get caught in the grid if your pup has loose stool. If not removed quickly your pup may step on it and really pack it in there.
After many trials with other products, we are very happy with this training pad holder and have bought a total of 3 units for different areas of our house. I highly recommend for small dogs/pups!
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Reviewed in the United States on August 28, 2023
★★★★★ 5
Works Great!!!
Size: 18"X24"
I have 2 pugs and have trained them to "go" on a grid. I started with another brand (Klean Paws) but found this brand (Petphabet Puppy Training Pad Holder) to be superior in several ways. This training pad holder is designed much better. The plastic grid is well supported so the puppy does not get wet paws when waling on the grid. The overall design of the training pad holder makes it very easy to replace training pads. Standard training pads (17.5" x 23.5") fit the medium Petaphet puppy training pad holder perfectly. Just lay the pads flat on the bottom, place the grid on top and clip it all into place with the frame. The frame holds everything in place and keeps any loose ends, hidden from mischievous puppies.
It takes a lot of effort to train puppies to "go" on a grid, but it's worth it. I started with one grid in a crate. Then, I gaited off my kitchen area, with 4 medium grids (as shown in the video). You cannot expect a puppy or dog to just go to one spot and do their thing. Dogs like to sniff and walk around before they "go." They need room. I suggest 2 medium girds per medium-sized dog. I have 2 pugs and 4 grids. I reward them with a pinch of peanut butter, whenever I see them go on the grid. I simply pickup the #2 with TP and flush it down the toilet. I replace the pads, in the 4 grids, once a day.
NOTE: The sellers of the dog training pad holders seem to come and go. If you cannot find this particular training pad holder, do a search for Mesh training pad holder. Be sure to get a training pad holder that has 3 parts -- the bottom tray, the mesh grid, and a frame that holds it all together. Some of the simpler grids have just 2 parts (bottom tray and top). They are simpler, but do NOT keep paws dry.
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Reviewed in the United States on October 1, 2018
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