Each one is titled the same,"Reports of the Inspectors of Mines of the Anthracite Coal regions of Pennsylvania for the year 1875 (1876,1877 & 1878, each in their own volumn.
1857 & 1876 was issued by B.F. Meters-State Printer in Harrisburg.
The 1877 & 1878 editions were done by Lane S. Hart-State Printer in Harrisburg.
My gg grandfather was a state mine inspector from the early 1870s thru 1915 and I inherited his collection of books.
Good Luck in your search,