A Study on Advanced Applications of Mathematics and AI in Library Science

Abstract

In the rapidly evolving field of information management, libraries are actively embracing the transformative potential of mathematics and artificial intelligence (AI). This chapter explores how established mathematical frameworks, such as the vector space model, together with cutting-edge natural language processing (NLP) techniques, are fundamentally altering how libraries organize information, facilitate retrieval, and ultimately, enhance user experience. The research suggests a symbiotic relationship between these seemingly distinct disciplines. By combining the strengths of mathematical models and probabilistic AI algorithms, this study aims to illuminate paths toward a more efficient and user-centric library ecosystem. This convergence has the potential to reshape resource management, information retrieval, and ultimately, transform the information landscape for library patrons, empowering them to navigate the vast ocean of knowledge with greater ease and effectiveness.