I am not sure that there has been actual single Book devoted to the Battle of Arkansas Post. Most of the writings about Arkansas Post have always been treated as a sideshow of Vicksburg. The best writing I have read in the past were in the Arkansas Historical Quarterly, but I can't give you any citations.

I have been impressed in my research of the Defence of the Lower Arkansas River that Arkansas Post may have been a minor sideshow to some historians. BUT to the Confederate Military in Arkansas and even those in Richmond at the time, it was much more important that historians give it credit for.