Description
The convergence of mathematics and artificial intelligence represents one of the most profound
intellectual achievements of the modern era. Machine learning and artificial intelligence
systems fundamentally depend on rigorous mathematical frameworks that enable computers to
learn patterns, make predictions, and solve complex problems that were once the exclusive
domain of human intelligence. Understanding these mathematical foundations is not merely
academic—it is essential for anyone seeking to develop, implement, or optimize intelligent
systems.
Mathematical modeling serves as the cornerstone of all machine learning algorithms,
providing the formal language through which we describe learning processes, optimization
procedures, and decision-making mechanisms. The mathematical tools employed in ML/AI
span multiple disciplines, creating an interdisciplinary framework that draws from linear
algebra, calculus, probability theory, statistics, discrete mathematics, and numerical analysis.
This mathematical ecosystem enables the transformation of raw data into actionable insights
and intelligent behavior.
Dr. Ganesh Kumar Thakur is an accomplished academician and researcher in the field of Mathematics, currently serving as an Assistant Professor at Government Engineering College, Vaishali, Bihar. With a teaching and administrative career spanning over 16 years, he has previously contributed to reputed institutions such as Krishna Engineering College, Ghaziabad, ABES Engineering College, Ghaziabad, and has been associated as an Adjunct Faculty with BITS Pilani under its Work Integrated Learning Program. Dr. Ganesh Kumar Thakur is an accomplished academician and researcher in the field of Mathematics, currently serving as an Assistant Professor at Government Engineering College, Vaishali, Bihar. With a teaching and administrative career spanning over 16 years, he has previously contributed to reputed institutions such as Krishna Engineering College, Ghaziabad, ABES Engineering College, Ghaziabad, and has been associated as an Adjunct Faculty with BITS Pilani under its Work Integrated Learning Program.
Dr. Bandana Priya is a distinguished academician and researcher in Mathematics, currently serving as an Assistant Professor in the Department of Mathematics, A. N. College, Patna. With over 16 years of teaching and research experience, she has held academic positions at premier institutions like G.L. Bajaj Institute of Technology & Management, Greater Noida and R.D. Engineering College, Ghaziabad and has been associated as an Adjunct Faculty with BITS Pilani under its Work Integrated Learning Program. Dr. Priya earned her Ph.D. in Mathematics with a specialization in Graph Theory. Her doctoral work focused on Chains, Graphs, and Their Geometries, laying the foundation for her extensive research on mathematical structures relevant to artificial intelligence and network systems. She has authored more than 30 research papers in reputed international journals, covering areas such as fuzzy graph theory, neural networks, system reliability, fractional-order systems, and optimization. Her scholarly work intersects deeply with the mathematical underpinnings of AI and machine learning, including the analysis of memristor-based neural models, genetic regulatory systems, and fuzzy logic-based algorithms. A regular contributor to international conferences and workshops, Dr. Priya’s academic excellence, pedagogical clarity, and interdisciplinary approach make her a valued voice in the fusion of mathematics with emerging technologies. This book reflects her deep engagement with the mathematical principles that drive modern artificial intelligence and machine learning innovations.