NoSQL databases represent a shift from traditional relational databases (RDBMS), designed to handle large sets of unstructured or semi-structured data with features like schema-free structures and scalability. They incorporate various types, including document stores, key-value stores, and graph databases, and often prioritize availability and performance over strict consistency, as articulated by the CAP theorem. The demand for NoSQL has surged due to the rise of big data and the internet, primarily driven by applications from social media and cloud solutions.