This post contains links and references that go along with a short talk I gave at MoDev about the "full stack" development trend.
Several blog posts were influential in the early formation of the term "full stack". Start by reading these to understand where the term originated.
The following are some other great blog posts for additional perspective.
I created the following resources, one for O'Reilly and one independently for the Python community. Full Stack Python has now been read by over 100,000 developers so far in 2014.
Web APIs are incredibly important in the full stack trend. If you'd like to read more about APIs and web fundamentals I have a blog post specifically for those resources.