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An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets.

A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major...

Markus hat im Neuen Testament als Mitarbeiter von Barnabas, Paulus und Petrus nur eine Nebenrolle inne. Er ging aber dadurch in die Geschichte ein, dass er aus den Predigten des Petrus das zweite Evangelium geschaffen haben soll. Der Markuslöwe wurde zum bekannten Symbol des Evangelisten. In der christlichen Legendenbildung der Spätantike und des Mittelalters hat Markus eine beeindruckende Wirkungsgeschichte entfaltet. Er gilt als Begründer und erster Bischof der Kirchen von Aquileia und Alexandria. Auch über seinen Tod hinaus sorgte Markus für Aufsehen. Mit dem spektakulären Raub...

An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations

A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas.

Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics,...