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Jayson_Virissimo comments on I want to learn economics - Less Wrong
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Microeconomics
Beginner: Hidden Order: The Economics of Everyday Life by David Friedman.
Intermediate: Intermediate Microeconomics: A Modern Approach by Hal Varian.
Advanced: Microeconomic Analysis by Hal Varian.
Macroeconomics
I would avoid macroeconomics until you grok microeconomics (and maybe even then), but if you must read something, read Macroeconomic Patterns and Stories by Edward Leamer.
I second hidden order as a great introduction to microeconomics. If you're a true beginner, read that first and THEN jump into a textbook with math.
I also second everyone suggesting that you avoid macro for a bit until you understand micro. Macro seems to have much less settled theory than micro.
Varian's Intermediate Microeconomics is good. I haven't read Microeconomic Analysis which is apparently more advanced.
The reason I found Varian useful is that principle is paired with math; fairly rigorously up until the later chapters. I also read Mankiw's Principles of Economics, but you don't finish that book able to do any economic number crunching.
On the math side it's mainly differential calculus and algebra. If you have a base there already I suspect it will actually be easier and quicker to absorb the principles from a text with math - since they derive from it.
I second the suggestion to avoid macro for a long time since there is so very much confused macro writing. It is a field in need of rationalists.
I also used Varian's book for intermediate macro (EDIT: micro), and I thought it was decent.