Kin Platt (1911–2003) was the author of the perennially popular I Can Read Book Big Max, as well as several outstanding young-adult novels and the Max Roper mystery series for adults. Mr. Platt was also a noted cartoonist.
I remember our teacher reading this to us in elementary school and thinking there was going to be science fiction, but I think ' Brogg's Brain' was just reference to a mad scientist B movie that the main character had seen. My recollection is that the title was a tease.