Galaxies Like Grains of Sand
From the back cover:

THE HISTORY OF THE FUTURE

The moon is a nuclear bonfire, smouldering for 100,000 years after the war to end all wars.

Robot slaves toil away at a starved planet, unaware that the masters they server are all but extinct.

From the rim of space, a horde of invading primitives brings the messge of final doom to the most sublime civilization ever known.

GALAXIES LIKE GRAINS OF SAND is Brian Aldiss's epic chronicle of mankind's next 40 million years.  From the end of the ultimate race war, it traces man's evolution through the unimagined heights of civilization to the final dissolution of the galaxy itself.
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Brian W. Aldiss