Handbook of geometric constraint systems principles / edited by Meera Sitharam, Audrey St. John and Jessica Sidman.

Handbook of geometric constraint systems principles /

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS) It functions as a single source containing the core principles and results, accessible to both beginn...

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Bibliographic Details
Corporate Author: Taylor and Francis
Other Authors: Sitharam, Meera (Editor), St. John, Audrey (Editor), Sidman, Jessica (Editor)
Format: Electronic eBook
Language:English
Published: Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2018.
Edition:First edition.
Series:Discrete mathematics and its applications.
Subjects:
Geometry, Algebraic.
Geometry.
Rigidity (Geometry)
Structural design > Mathematics.
Online Access: Full text (WIT users only)
Table of Contents:
  • part, 1 Part I Geometric Reasoning, Factorization and Decomposition / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 1 Overview and Preliminaries / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 2 Computer-Assisted Theorem Proving in Synthetic Geometry / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 3 Coordinate-Free Theorem Proving in Incidence Geometry / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 4 Special Positions of Frameworks and the Grassmann-Cayley Algebra / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 5 From Molecular Distance Geometry to Conformal Geometric Algebra / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 6 Tree-Decomposable and Underconstrained Geometric Constraint Problems / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 7 Geometric Constraint Decomposition: The General Case / Meera Sitharam Audrey St. John Jessica Sidman
  • part, 2 Part II Distance Geometry, Real Algebraic Geometry, and Configuration Spaces / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 8 Dimensional and Universal Rigidities of Bar Frameworks / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 9 Computations of Metric/Cut Polyhedra and Their Relatives / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 10 Cayley Configuration Spaces / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 11 Constraint Varieties in Mechanism Science / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 12 Real Algebraic Geometry for Geometric Constraints / Meera Sitharam Audrey St. John Jessica Sidman
  • part, 3 Part III Geometric Rigidty / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 13 Polyhedra in 3-Space / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 14 Tensegrity / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 15 Geometric Conditions of Rigidity in Nongeneric Settings / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 16 Generic Global Rigidity in General Dimension / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 17 Change of Metrics in Rigidity Theory / Meera Sitharam Audrey St. John Jessica Sidman
  • part, 4 Part IV Combinatorial Rigidity / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 18 Planar Rigidity / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 19 Inductive Constructions for Combinatorial Local and Global Rigidity / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 20 Rigidity of Body-Bar-Hinge Frameworks / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 21 Global Rigidity of Two-Dimensional Frameworks / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 22 Point-Line Frameworks / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 23 Generic Rigidity of Body-and-Cad Frameworks / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 24 Rigidity with Polyhedral Norms / Meera Sitharam Audrey St. John Jessica Sidman
  • chapter 25 Combinatorial Rigidity of Symmetric and Periodic Frameworks / Meera Sitharam Audrey St. John Jessica Sidman.

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