{"abstract":[{"lang":"eng","text":"n the multi-volume work on \"Theory of Production\", the production models and processes born today from practice are to be derived for the first time on a mathematically justified basis and thus also given the production economy a scientific basis. A constructivist point of view is to be set aside for “we just organized our company that way and it has proven itself”, and so the many descriptive “factory management teachings” are to be replaced. Volume 1 contains the basics of logic, set theory and algebra. The production-relevant conceptions of systems theory are for the first time completely mapped to constructs of formal logic, propositional and predicate logic consistently presented using examples. The predicate logic strikes the bow to the NC program; all parameters of a machining production are derived explicitly. An application example of the set-theoretical concepts is the computer-aided design, the relational calculus is mapped, for example, to product structures, replacement parts and identical parts. The basics of algebra deal in detail with the algebraic systems with internal connections that are important for engineering. Rotating tool magazines are mentioned here as an example. Algebraic systems with external links deal in particular with the handling of matrices. The basics of classifying, ordering and measuring conclude this volume. The basics of algebra deal in detail with the algebraic systems with internal connections that are important for engineering. Rotating tool magazines are mentioned here as an example. Algebraic systems with external links deal in particular with the handling of matrices. The basics of classifying, ordering and measuring complete this volume. The basics of algebra deal in detail with the algebraic systems with internal connections that are important for engineering. Rotating tool magazines are mentioned here as an example. Algebraic systems with external links deal in particular with the handling of matrices. The basics of classifying, ordering and measuring conclude this volume."}],"publisher":"Springer-Verlag","date_updated":"2022-01-06T06:56:56Z","date_created":"2021-10-02T15:34:44Z","author":[{"first_name":"Wilhelm","last_name":"Dangelmaier","full_name":"Dangelmaier, Wilhelm"}],"user_id":"71124","_id":"25251","department":[{"_id":"671"}],"title":"Production theory 1","year":"2017","language":[{"iso":"eng"}],"status":"public","citation":{"mla":"Dangelmaier, Wilhelm. *Production Theory 1*. Springer-Verlag, 2017.","bibtex":"@book{Dangelmaier_2017, title={Production theory 1}, publisher={Springer-Verlag}, author={Dangelmaier, Wilhelm}, year={2017} }","apa":"Dangelmaier, W. (2017). *Production theory 1*. Springer-Verlag.","short":"W. Dangelmaier, Production Theory 1, Springer-Verlag, 2017.","ieee":"W. Dangelmaier, *Production theory 1*. Springer-Verlag, 2017.","chicago":"Dangelmaier, Wilhelm. *Production Theory 1*. Springer-Verlag, 2017.","ama":"Dangelmaier W. *Production Theory 1*. Springer-Verlag; 2017."},"type":"book"}