I haven't started reading it yet, but pretty soon I'll be reading a book I recently bought, His Majesty's Dragon, written by Naomi Novik.
Oooh, that is such a good book. She can write!
As for your question, Vilstrup, it is taking the Napoleonic Wars, and adding an aerial division. The soldiers of the aerial divisions of the world ride dragons. That is the basic gist of it. The series revolves around Captain William Laurence, who unexpectedly acquired a rare Chinese egg and partnered with the dragon who came out of said egg, Temeraire.
I'm currently on book 3 of that series,
Black Powder War.