The book “Artificial Intelligence for Agile Business Solutions: Modernization of Outdated Systems" offers a comprehensive exploration of how AI technologies can transform legacy systems across various industries. The book covers a wide variety of topics such as Mathematical Modeling in Computer Science, the Evolution of Big Data in Modern Accounting Practice, and innovative strategies for integrating legacy security solutions with advanced AI-enabled capabilities. Additionally, it delves into modern network architectures crucial for supporting scalable and secure AI-driven solutions, including topics on cloud computing, edge computing, and network virtualization. By combining theoretical foundations with practical applications, this book provides valuable insights for developing resilient, efficient, and adaptive business infrastructures. Designed for researchers, IT professionals, business strategists, and graduate students, it bridges the gap between emerging technologies and real-world implementation, empowering organizations to excel in the era of digital transformation.