Mathematical Modelling by Help of Category Theory

Abstract Perspectives on Models and Coupling of Models

AvDmitrii Legatiuk

Inbunden, Engelska, 2025

Del i serien Mathematical Engineering

1 483 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2025-03-20
Mått:155 x 235 x 16 mm
Vikt:492 g
Format:Inbunden
Språk:Engelska
Serie:Mathematical Engineering
Antal sidor:178
Förlag:Springer International Publishing AG
ISBN:9783031849503

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Mer om författaren

Dimitrii Legatiuk is a mathematician working at the University of Erfurt, Germany. The main research interests of Dr. Legatiuk are related to Clifford analysis in continuous and discrete setting, discrete octonionic analysis, numerical analysis of partial differential equations, classical complex function theory and its applications, as well as the formalisation of mathematical modelling by the help of category theory and type theory. For his outstanding contribution to the field of Clifford analysis, Dr. Legatiuk was awarded the W.K. Clifford prize in 2020.

Innehållsförteckning

- 1. Modelling process in engineering.- 2. Preliminaries from category theory.- 3. Categorical approach to mathematical modelling.- 4. Engineering perspectives and applications.- 5. Type-theoretic and abstract algebraic approaches to conceptual modelling.- 6. Epilogue.