Usually it would be this:
SELECT *
FROM yourtable
WHERE yourtimetimefield>='2010-10-01'
AND yourtimetimefield< '2010-11-01'
But because you have a unix timestamps, you'll need something like this:
SELECT *
FROM yourtable
WHERE yourtimetimefield>=unix_timestamp('2010-10-01')
AND yourtimetimefield< unix_timestamp('2010-11-01')
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