This is not an introductory book -- despite the title -- but contains a deep and wide analysis of the problem of the 'new' logic (post-Russell and Whitehead). It is just a superb book -- If everyone in the English speaking world had read it, and studied it, by the age of 18, the West would not now be in decay.
For the older logic, of course -- the predicate - the classic treatment is H.W.B. Joseph, An Introduction to Logic, which has now been reprinted: http://www.amazon.com/Introduction-Logic-H-W-Joseph/dp/1889439177 (it took me years to find a copy)
If you're looking for a handbook, to teach yourself symbolic logic, I'd recommend working through the following (in this order):
1.) Lemmon's Beginning Logic: http://www.amazon.com/Beginning-Logic-E-J-Lemmon/dp/0915144506/ref=sr_1_1?ie=UTF8&s=books&qid=1261281913&sr=8-1
2.) Cohen and Nagel, An Introduction to Logic, Book I: http://www.amazon.com/Introduction-Logic-Scientific-Method/dp/1931541914/ref=sr_1_1?ie=UTF8&s=books&qid=1261282025&sr=1-1
As always, the fall of nations is due as much to forgetfulness as to calamity.