How do I switch to landscape single page view?

I got the book "Big Nate Makes a Splash" by Lincoln Peirce for my son on his iPad mini. The issue I am having is that when the iPad is in landscape orientation iBooks view id two portrait pages but the book's pages are landscape orientation therefore the pages are tiny (less than 1/4th of the screen). He can double tap each page but then then he can't turn the pages from that view. Is there something I am missing? It seems like very poor design if this is the way it is intended to function.

Thanks