There should have been quite a number of people named "Martin Gardner". No single person could have written all this material.
Puzzles from Other Worlds is the second collection of the columns Gardner wrote... no, not for "Scientific American" but for "Isaac Asimov's Science Fiction Magazine". Given the place, it's natural that the frame of the problems is set in the future; but it's just a nice way to colour the text, so that it is nicer.

There are not only math problems, but also wordplay; some quiz is probably outdated (look at the showbiz, just to have an idea), but it does not matter a lot. Most problems have a second, third and even fourth spinoff, so that the reader could enjoy them even more. A nice book: let's hope that it will be reissued.