I was raised by fairly conservative parents and throughout my childhood have had the impression that Reagan was the standard candle to which all policy should be held to and in particular Reaganomics was as true as the sky was blue. As an adult I've come to realize that it is not so cut and dry and would like some insight on this and would like to know if there are books that defend the for/against on the issue of "trickle down" economics. I would prefer to hear both sides in two separate books, or in a single book as long as both sides are fairly represented. Also please note I am not a student of economics although I have a strong math background.
This is a very large subject, where the terms have not even be well defined. I find it very unlikely that you will find an answer. Before even attempting to do so, you should define concisely what is meant by the terms. And particularly, are you talking about stabilization(short run) or structural(long run) economics? Because those two things are entirely different. One strategy is to study the classical and Keynesian schools of economics, since generally it at least to me appears that classical economics is called supply side economics, while keynsians are called demand siders.
Since the question was partly related to a person and not schools of economics, you could define "Reaganomics" as what actions he actually took, and what happened as a result. Upon doing this you will probably find that he wasn't really a strident supply sider in the first place. His strategy seemed to be to reduce taxes and pay for it by taking debt. Since it was not even a recession, this can be hardly classified as an economic policy, but a political strategy. Promise something for nothing and get votes is what seemed to be his plan in light of the data, and it worked as far as politics was concerned (he won twice).