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Mathematical modelling by help of ca...

Legatiuk, Dmitrii.

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Mathematical modelling by help of category theory = abstract perspectives on models and coupling of models /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical modelling by help of category theory/ by Dmitrii Legatiuk.
其他題名:	abstract perspectives on models and coupling of models /
作者:	Legatiuk, Dmitrii.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xii, 178 p. :ill. (some col.), digital ;24 cm.
內容註:	- 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.
Contained By:	Springer Nature eBook
標題:	Engineering mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-84951-0
ISBN:	9783031849510

Mathematical modelling by help of category theory = abstract perspectives on models and coupling of models /
Legatiuk, Dmitrii.

Mathematical modelling by help of category theoryabstract perspectives on models and coupling of models /[electronic resource] :by Dmitrii Legatiuk. - Cham :Springer Nature Switzerland :2025. - xii, 178 p. :ill. (some col.), digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

- 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.

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 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. The theory developed here demonstrates the practical utility of category theory, making this book a valuable resource for researchers in applied mathematics and engineering, particularly those focused on theoretical foundations of modelling.

ISBN: 9783031849510

Standard No.: 10.1007/978-3-031-84951-0doiSubjects--Topical Terms:

516847
Engineering mathematics.

LC Class. No.: TA330

Dewey Class. No.: 620.00151

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