I have no background in economics. I just finished reading "The Mystery of Banking", and I found it eye-opening and enjoyable. I would like to know more about both general and liberal economics. Will some of you please suggest what sources I should consider reading?
I do not know what level you are looking for, but Thomas Sowell's Basic Economics is quite impressive for ground-up books. It is not from strictly Austrian perspective, but it primarily confines itself to the issues one is likely to see in political debates: foreign trade, price floors and ceilings, and the like (and he always at least comes out on the side of the free market).
Economics In One Lesson by Henry Hazlitt is a great introduction to economics in general.
As a recent economics graduate who has read both sowell's basic economics and hazlitt's econ in one lesson, I would highly recommend sowells book to start out with, then hazlitt's book to follow up. Sowell ties much broader implications to the basic laws of economics, while hazlit presents specific arguments to specific policy, utilizing the what is seen/unseen approach to resource allocation.
As others have said: Economics in One Lesson and Economics for Real People are great introductory books. The first one is more of a rebuttal to many economic misconceptions, but the good thing is that, in a way, it teaches how to think about economy. The second one is an introductin to Austrian Economics. Both are very easy to read.
They can both be downloaded at mises.org:
An Introduction to Economic Reasoning
by David Gordon
a good introduction: http://www.mises.org/etexts/EconReasoning.pdf
the concepts and method are well explained and it is less riddled with ideological statements campaigning for certain policies.