Beyond This Horizon first was published in April and May 1942 in Astounding Science-Fiction, of course, illustrated then by Hubert Rogers. Those printings are shown on my “Pulp Magazines” page. After the war it was published in book form by Fantasy Press, and then by Grosset & Dunlap.
The two-tone painting here shows a future of soft parkland and soaring skyscrapers with arched bridges of white concrete...with an hourglass superimposed, in the bottom of which a toddler plays at piling up sand. The book itself is a bit light in weight, as if made of cheaper materials, and the dust jacket has some little chunks missing at the edges. Still, for its age, that’s not too bad, and the piece really was a great find.
See it on on the “Earlier Adult Works” page of my Heinlein Cover Art galleries.