This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hasse diagram to build graphical intuition for the structure of finite posets. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.
Rezensionen / Stimmen
"The text is designed to be accessible to upper division undergraduates in mathematics or secondary mathematics education ... this text is appropriately presented, has good and appropriate examples, and makes the theory of posets accessible to better undergraduates." Mathematical Reviews
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 160 mm
Breite: 223 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-981-02-3589-5 (9789810235895)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Definitions and examples; how to represent a poset; poset morphisms; construction of new posets from old posets; connectedness; linear extensions.