Most people don't distinguish between Algorithmbase and the Language as they are so tightly intertwined Wolfram Algorithmbase: Probably the largest curated set of algorithms covering most major areas of mathematics, computation, and graphics.'Notebooks': A combination of documentation, programs and results.The Wolfram Language: A multi-paradigm language which covers symbolic computation with procedural, functional, list and rule-based programming.What it is, is the most comprehensive environment for 'technical computing' by providing the follow functionality: It's probably not the most predominant (as you have to pay quite a bit for commercial use) system so people use Python or R for example. A bold statement which is partially true. Wolfram define Mathematica as 'The world's definitive system for modern technical computing'.

Since the Documentation for wolfram-mathematica is new, you may need to create initial versions of those related topics. It should also mention any large subjects within wolfram-mathematica, and link out to the related topics. This section provides an overview of what wolfram-mathematica is, and why a developer might want to use it.

Wolfram mathematica tutorial