There are 3 books in the Singularity series. The newest book is Accelerando which came out in 2005.

1
Singularity Sky

Book cover of Singularity Sky

In the twenty-first century man created the Eschaton, a sentient artificial intelligence. It pushed Earth through the greatest technological evolution ever known, while warning that time travel is forbidden, and transgressors will be eliminated.

Distant descendants of this ultra high-tech Earth live in parochial simplicity on the far-flung worlds of…

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2
Iron Sunrise

Book cover of Iron Sunrise

When the planet of New Moscow was brutally destroyed, its few survivors launched a counter-attack against the most likely culprit: the neighbouring system of trade rival New Dresden. But New Dresden wasn't responsible, and as the deadly missiles approach their target, Rachel Mansour, agent for the interests of Old Earth,…

3
Accelerando

Book cover of Accelerando
His most ambitious novel to date, ACCELERANDO is a multi-generational saga following a brilliant clan of 21st-century posthumans. The year is some time between 2010 and 2015. The recession has ended, but populations are ageing and the rate of tech change is accelerating dizzyingly. Manfred makes his living from spreading…