Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures by Jack E Graver

Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures by Jack E Graver

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Zusammenfassung

Book developing a mathematical theory of rigidity, for undergraduates working in modelling or graph theory.

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Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures by Jack E Graver

Consider a scaffolding that is constructed by bolting together rods and beams. The ultimate question is whether the structure is strong enough to support the workers and their equipment. This is the problem that motivates the area of mathematics known as rigidity theory. The purpose of this book is to develop a mathematical model for the rigidity of structures. In fact the author develops three distinct models in which the structure under consideration is modelled as a framework. These models are the degrees of freedom model and two models based on quadratic equations and linear equations respectively. The author shows that all three of these models agree except for a very small class of specially constructed frameworks. This is a theory with significant practical applications and will be of interest to a wide range of people including those studying graph theory or mathematical modelling.
SKU Nicht verfügbar
ISBN 13 9780883853313
ISBN 10 0883853310
Titel Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures
Autor Jack E Graver
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Mathematical Association of America
Erscheinungsjahr 2001-09-06
Seitenanzahl 192
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar