The Role of Mathematical Modeling in The Development of Artificial Intelligence and Engineering Systems
Abstract
Mathematical modeling has become one of the most important research methods in modern science and technology. It provides a powerful tool for representing complex real-world processes through mathematical equations, algorithms, and computational methods. In recent decades, mathematical models have played a significant role in the development of artificial intelligence, engineering systems, medicine, economics, and environmental sciences. The integration of mathematical modeling with computer technologies has enabled researchers to predict future processes, optimize complex systems, and develop innovative solutions. This article analyzes the role of mathematical modeling in artificial intelligence and engineering applications, emphasizing its importance in improving decision-making, system optimization, and technological progress. The study highlights the relationship between mathematical theories, computational methods, and practical applications in modern scientific development.
Keywords
Mathematical modeling, artificial intelligence, engineering systems
References
Burden, R. L., Faires, J. D. (2011). Numerical Analysis. Brooks/Cole.
Giordano, F. R., Fox, W. P., Horton, S. B. (2014). A First Course in Mathematical Modeling. Cengage Learning.
Bishop, C. M. (2006). Pattern Recognition and Machine Learning. Springer.
Goodfellow, I., Bengio, Y., Courville, A. (2016). Deep Learning. MIT Press.
LeVeque, R. J. (2007). Finite Difference Methods for Ordinary and Partial Differential Equations. SIAM.
Mitchell, T. M. (1997). Machine Learning. McGraw-Hill.
Chapra, S. C. (2012). Applied Numerical Methods with MATLAB. McGraw-Hill.
Alpaydin, E. (2020). Introduction to Machine Learning. MIT Press.
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Applied Sciences
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