Perhaps your math is poor, but lets break this down:
First bomb: August 6th. 3 Days later, August 9th, second bomb. 3 Days later, surrender. If anything, only 1 more bomb would of been used, but it never came down to that due to the surrender. You don't think that in those 3 days there wasn't any leaks of surrender talks? Amazing - because for the entire war the allies were pulling intel from Japanese communiques... guess the allies in their haste to drop a-bombs forget to decode Japanese communiques at the end.
It's not like you surrender a nation in a day or two like that, definately not back then.
You certainly begin talks, unless of course you have no intention of surrendering. Hint, hint.
Besides that, US was going for unconditional surrender, but the japanese did not want to surrender unconditionally.
Would you?
First part can be explained: They started the war with the intents of forcing us to unconditionally surrender, it was war... you don't deliver demands to surrender with a pretty bouquet.
Second part, would I start a war with a much larger nation? Well, lets step it down a size - would I start a fist fight with Mike Tyson?
If US would have agreed to conditional surrender, it could have saved more people.
More to think about.
If Japan hadn't started the war, there wouldn't of been a war. Don't start nothing, there won't be nothing. Pretty clear cut, Japan started the whole mess - they were going to go away with two black eyes and broken ribs, not a shake of the hand and a pat on the ass.
-SW