Excellent puzzle, 100% Fully logical and nice image. For anyone in doubt, must use 2D logic to determine where the larger numbers on the edges cannot possibly go. No temporaries necessary to do so.
@Cinderwild 2D logic is when you look a row/col over to see if starting a number at a certain cell will work.
For example, this puzzle has an 11 in c25. If you try to start it in the upper right corner, then every row it's in has numbers bigger than 1 on the right. This means c24 will also end up with an 11, which contradicts the fact that c24 only has a 3 and a 4. This means you can't start the 11 in the top row.
If you continue using this type of logic, you can figure out where the 11 goes in c25, making the puzzle easy to solve :)
@Brainstorm Oh okay, turns out I've been using that type of logic for quite some time and just didn't know what it was called. I'm still not sure why it is referred to as 2D logic though. Thanks for the explanation.