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Mathematical Modelling by Help of Category Theory: Abstract Perspectives on Models and Coupling of Models

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This monograph offers a novel structural perspective on the modelling of engineering problems, utilizing abstract mathematics in the form of category theory.

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 adv...