Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures (Dolciani Mathematical Expositions)

Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures (Dolciani Mathematical Expositions) (Paperback)

By Jack Graver 
Publisher: The Mathematical Association of America
Edition: Paperback
Language: English
ISBN: 0883853310
EAN: 9780883853313
No. of Pages: 192
Publish Date: 2001-07-15
Binding: Paperback
Ships to India.

Description

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.
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Specification

Title: Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures (Dolciani Mathematical Expositions)
Publisher: The Mathematical Association of America
Author: Jack Graver
Edition: Paperback
Language: English
ISBN: 0883853310
EAN: 9780883853313
No. of Pages: 192
Publish Date: 2001-07-15
Binding: Paperback

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