Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures
Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures
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Summary
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 | Unavailable |
| ISBN 13 | 9780883853313 |
| ISBN 10 | 0883853310 |
| Title | Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures |
| Author | Jack E Graver |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Mathematical Association of America |
| Year published | 2001-09-06 |
| Number of pages | 192 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |