Mathematical Modelling by Help of Category Theory
Mathematical Modelling by Help of Category Theory: Abstract Perspectives on Models and Coupling of Models
English | 2025 | ISBN: 3031849507 | 190 Pages | PDF EPUB (True) | 10 MB
English | 2025 | ISBN: 3031849507 | 190 Pages | PDF EPUB (True) | 10 MB
Specifically, the book aims to enhance the understanding of mathematical modelling by developing a category theory-based framework. Category theory is employed to establish clear relationships between mathematical models and their complexities. The theory is then extended to encompass coupled mathematical models, incorporating more advanced categorical structures. To bridge theory and practice, the book presents engineering applications of the abstract categorical framework, providing various modelling examples from real-world engineering scenarios. Additionally, it introduces initial concepts for automatic model generation and error detection in modelling.