For instance, searching for "chess" I immediately stumbled across these 3 books which I thought might be of interest.
The first is Mathematics and Chess by Miodrag Petković. That one should provoke interest from some our maths aficionados. And then there's this, Thought and Choice in Chess by Adrian de Groot. Well-read readers will recall that de Groot presented the so-called "Position A" to participants in the famous 1938 AVRO tournament, in the Netherlands. Below is that same diagram. See if you can do better than Salo Flohr who was apparently the only one amongst the matters who missed the win. de Groot passed away a couple of years ago aged 91.
White to move and win
Finally, roughly along the same lines as de Groot's book is Chess Player's Thinking by Pertti Saariluoma. This one seems like a heavy read, but a quick glance at some chapters tells me that this could be quite interesting.