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Rigidity Theory and Applications (Fundamental Materials Research) [Hardcover]

M.F. Thorpe (Editor), P.M. Duxbury (Editor)

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Book Description

Publication Date: May 31, 1999 | ISBN-10: 0306461153 | ISBN-13: 978-0306461156 | Edition: 1

Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.

Product Details

Hardcover: 428 pages
Publisher: Springer; 1 edition (May 31, 1999)
Language: English
ISBN-10: 0306461153
ISBN-13: 978-0306461156
Product Dimensions: 10.4 x 6.5 x 1 inches
Shipping Weight: 1.9 pounds
Amazon Best Sellers Rank: #7,668,809 in Books (See Top 100 in Books)

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Inside This Book (learn more)

First Sentence:
We are all familiar with frameworks of rods attached at joints. Read the first page

Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
amorphous solidification transition, abstract rigidity matroid, entropic rigidity, rigid polytopes, distorted polytopes, floppy modes, underconstrained region, overconstrained subgraph, distance constraint approach, ligand interaction centers, nucleating rings, prestress stability, rigidity percolation, globally rigid tensegrities, isostatic block, quasiharmonic analysis, bulk vertices, floppy regions, overconstrained regions, infinitesimal flex, redundant bonds, constraint counting approach, independent dihedral angles, rigidity transition, annealed variables

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Kluwer Academic, Plenum Publishers, New York, Monte Carlo, Structural Topology, World Scientific, Aided Mol, Cambridge University Press, Discrete Math, Michigan State University, State Comm, Academic Press, Complex Behavior of Glassy Systems, John Wiley, Protein Science, Graphs Combin, Henry Crapo, Protein Data Bank, Structure Polyhedra, World Wide Web

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Citations (learn more)

This book cites 52 books:

Amorphous Insulators and Semiconductors (NATO Science Partnership Sub-Series: 3:) by M.F. Thorpe on 5 pages
Combinatorial Rigidity (Graduate Studies in Mathematics) by Brigitte Servatius, and Herman Servatius Jack Graver on page 19, page 45, and page 384
Introduction To Percolation Theory by Dietrich Stauffer on page 79, page 124, and page 277
Spin Glasses & Random Fields by P. Young on page 124, and page 152
The Physics of Amorphous Solids by Richard Zallen on page 190, and page 276

See all 52 books this book cites

14 books cite this book:

Phase Transitions and Self-Organization in Electronic and Molecular Networks (Fundamental Materials Research) by J.C. Phillips on 7 pages
Frontiers of High Pressure Research II: Application of High Pressure to Low-Dimensional Novel Electronic Materials (NATO Science Series II: Mathematics, Physics and Chemistry) by Hans D. Hochheimer on page 69, page 70, and page 71
Properties and Applications of Amorphous Materials (NATO Science Series II: Mathematics, Physics and Chemistry) by M.F. Thorpe on page 24, page 95, and page 130
Frontiers of High Pressure Research II: Application of High Pressure to Low-Dimensional Novel Electronic Materials (NATO Science Series II: Mathematics, Physics and Chemistry) (v. 2) by Hans D. Hochheimer on page 69, page 70, and page 71
Properties and Applications of Amorphous Materials (NATO Science Series II: Mathematics, Physics and Chemistry) by M.F. Thorpe on page 24, page 95, and page 130

See all 14 books citing this book

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