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"Mathematics of Social Networks: Analyzing Connections in the Digital Age" offers a comprehensive exploration of the mathematical underpinnings and dynamics of social networks within the contemporary digital landscape. Starting from the historical evolution of social networks, the book introduces fundamental concepts of graph theory and network representation. It then delves into advanced topics such as centrality measures, community detection, and the dynamics of influence and virality in online communities. Throughout the book, emphasis is placed on the interdisciplinary nature of social network analysis, highlighting its relevance in fields such as sociology, computer science, and data science. By providing insights into the structure, behavior, and evolution of social networks, the book equips readers with the knowledge to navigate the complexities of digital interactions and harness the power of networks for societal benefit.