Mathematical Modelling by Help of Category Theory
Legatiuk, Dmitrii
Produktnummer:
180ec981f906344f66a0be2c396ace10a0
| Autor: | Legatiuk, Dmitrii |
|---|---|
| Themengebiete: | Abstract Modelling Category Theory Comparison of Models Lattice of Theories Mathematical Modelling Relational Algebra |
| Veröffentlichungsdatum: | 20.03.2025 |
| EAN: | 9783031849503 |
| Sprache: | Englisch |
| Seitenzahl: | 178 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Untertitel: | Abstract Perspectives on Models and Coupling of Models |
Produktinformationen "Mathematical Modelling by Help of Category Theory"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen