Counting on Frameworks 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Graver, Jack E. 作者

译者

2001-7 出版日期

192 页数

484.00元价格

丛书系列

9780883853313 图书编码

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发表于2024-09-19

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Counting on Frameworks 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Counting on Frameworks 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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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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