There are 6 books in the Galactic Center series. The newest book is Sailing Bright Eternity which came out in 1995.

Set in a world of lunar colonies, cybernetic miracles, fanatic cults, deadly pollution and famine, the first story in the GALACTIC CENTRE CYCLE. This world of social decay is facing hardship, but not far beyond the shores of space comes a mystery, which one man, astronaut Nigel Walmsley is about…
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2
Across the Sea of Suns

Across the Sea of Suns
Lancer, a spaceship built to specifications found in the computers of an alien derelict, journeys to the star, Ra, from which the Earth has received mysterious radio transmissions in English

3
Great Sky River

Great Sky River
At the center of the galaxy, a small band of humans facing extinction discover that they will play a new role in the order of the universe

4
Tides of Light

Tides of Light
The center of our galaxy is magnificant, wondrous - and utterly deadly. Located there is an enormous black hole, a pit into which a million suns have fallen. Against this haunting starscape, a small human band flees from an enemy it cannot hope to combat - enormously superior artificial minds…

5
Furious Gulf

Furious Gulf
Few writers have successfully blended hard science and speculation with fully realized characters as Gregory Benford has in his critically acclaimed novels. Now he draws us into a vortex of mystery and danger at the heart of the galaxy in his dazzling new epic drama, Furious Gulf.
Containing the remnants…
This new, special edition of the classic concluding volume of this defining series by the eminent physicist and Nebula Award-winning author contains a teaser chapter from Benford's, The Sunborn.
The final chapter of humanity's future has begun, and three men hold the key to survival. As the fierce, artificially intelligent…