(written from a Production point of view)
A photo of this bookshelf appeared in the Twitter account of Star Trek: Discovery producer Aaron Baiers. The title of this book, and other books on the shelf, were Star Trek: The Original Series episode titles, and were described as "Easter eggs for all Trek lovers". 
However, the shelf as it appeared on screen counted fewer books, and since the titles were not obviously readable, it is unclear which were removed and which remained.
This book's title refers to the episode "The Deadly Years". "The Deadly Years" partially takes place at Gamma Hydra, a location mentioned to be six light years away from the location of the events depicted in "The Vulcan Hello" and "Battle at the Binary Stars".