Transaction Records of MtGox? When transactions are done on MtGox.com, MtGox Live will reflect the transactions by showing "popups" (top-right corner).

Does MtGox provide a "history record of transactions" which show us information of all transactions (timestamp and amount traded) done in MtGox?

I've looked into the HTTPv1 API but there doesn't seem to be an option to do so.
As said on https://en.bitcoin.it/wiki/MtGox/API/HTTP/v1#Multi_currency_trades you can use: 

https://mtgox.com/api/1/BTCUSD/trades?raw

or

https://mtgox.com/api/1/BTCUSD/trades?since=0

to get all the historical data.

There's also a non-official Python script (using this API) and a SQLite database with all the historical data, you can find it on: 

http://cahier2.ww7.be/bitcoinmirror/phantomcircuit/

The 167MB SQLite database should already have all the data you need, and the Python script in the same directory allows you to update it in real time.