Coverart for item
The Resource A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana

A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana

Label
A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
Title
A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
Statement of responsibility
Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
Creator
Contributor
Author
Subject
Language
eng
Summary
"This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial robots; and molecular geometry, with 3D-protein structure calculations using NMR data. The book is primarily intended for graduate students and advanced undergraduates in related fields, but can also benefit professionals in search of a pedagogical presentation of these subjects."--
Member of
Assigning source
Provided by publisher
Cataloging source
N$T
http://library.link/vocab/creatorName
Lavor, Carlile
Dewey number
512.57
Index
index present
LC call number
QA199
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1945-
http://library.link/vocab/relatedWorkOrContributorName
  • Xambó-Descamps, S.
  • Zaplana, Isiah
Series statement
SpringerBriefs in Mathematics
http://library.link/vocab/subjectName
Clifford algebras
Label
A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Acknowledgements; Contents; 1 Low Dimensional Geometric Algebras; 1.1 Linear Algebra Background; Metrics; Euclidean Spaces; Algebras; Exterior Powers and Exterior Algebra; The Projective Space P E; 1.2 GA of the Euclidean Plane, G2; Geometric Algebra; 1.3 GA of the Euclidean Space, G3; Geometric Background; Geometric Algebra; Inner Product and Applications to Vector Algebra; 1.4 GA of the Minkowski Space, G1,3; Clifford Units; Exterior Product and the Canonical Linear Grading of D; The Inner Product; Involutions; Hodge Duality; Relative Space and the Pauli Algebra
  • 1.5 Exercises2 Conformal Geometric Algebra; 2.1 Ground Notions; The Hestenes' Embedding; 2.2 Inner Representations; Spheres; Planes; Circles; Lines; 2.3 Outer Representations; 2.4 Transformations; 2.5 Exercises; 3 Minkowski's Space-Time: Geometry and Physics; 3.1 From Physics to Geometry and Back; Minkowski's View of Special Relativity; Matching Vocabularies: A Mathematical Presentation of Minkowski's Space-Time Geometry; 3.2 A GA View of the Lorentz Group; D-Rotors and Spacetime Isometries; 3.3 A GA View of Electrodynamics; Dirac's Operator; The Lab Picture; Riesz Form of Maxwell's Equations
  • The Relativistic Lorentz Force LawPotentials; Relative Transformation of the Electromagnetic Field; 3.4 A GA View of Dirac's Equation; 3.5 Exercises; 4 Robot Kinematics; 4.1 Classical Kinematics; 4.2 Forward Kinematics; 4.3 Differential Kinematics; 4.4 Inverse Kinematics; 4.5 Identification of Singularities; 4.6 Exercises; 5 Molecular Geometry; 5.1 Distance Geometry; 5.2 Discretizable Molecular Distance Geometry Problem; 5.3 Cartesian and Internal Coordinates; 5.4 Geometric Algebra Approach; 5.5 Uncertainties from NMR Data; 5.6 Conformal Geometric Algebra Approach
  • Sphere Intersection with UncertaintiesExample; 5.7 Exercises; References; Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319906645
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1044733921
  • (OCoLC)1044733921
Label
A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Acknowledgements; Contents; 1 Low Dimensional Geometric Algebras; 1.1 Linear Algebra Background; Metrics; Euclidean Spaces; Algebras; Exterior Powers and Exterior Algebra; The Projective Space P E; 1.2 GA of the Euclidean Plane, G2; Geometric Algebra; 1.3 GA of the Euclidean Space, G3; Geometric Background; Geometric Algebra; Inner Product and Applications to Vector Algebra; 1.4 GA of the Minkowski Space, G1,3; Clifford Units; Exterior Product and the Canonical Linear Grading of D; The Inner Product; Involutions; Hodge Duality; Relative Space and the Pauli Algebra
  • 1.5 Exercises2 Conformal Geometric Algebra; 2.1 Ground Notions; The Hestenes' Embedding; 2.2 Inner Representations; Spheres; Planes; Circles; Lines; 2.3 Outer Representations; 2.4 Transformations; 2.5 Exercises; 3 Minkowski's Space-Time: Geometry and Physics; 3.1 From Physics to Geometry and Back; Minkowski's View of Special Relativity; Matching Vocabularies: A Mathematical Presentation of Minkowski's Space-Time Geometry; 3.2 A GA View of the Lorentz Group; D-Rotors and Spacetime Isometries; 3.3 A GA View of Electrodynamics; Dirac's Operator; The Lab Picture; Riesz Form of Maxwell's Equations
  • The Relativistic Lorentz Force LawPotentials; Relative Transformation of the Electromagnetic Field; 3.4 A GA View of Dirac's Equation; 3.5 Exercises; 4 Robot Kinematics; 4.1 Classical Kinematics; 4.2 Forward Kinematics; 4.3 Differential Kinematics; 4.4 Inverse Kinematics; 4.5 Identification of Singularities; 4.6 Exercises; 5 Molecular Geometry; 5.1 Distance Geometry; 5.2 Discretizable Molecular Distance Geometry Problem; 5.3 Cartesian and Internal Coordinates; 5.4 Geometric Algebra Approach; 5.5 Uncertainties from NMR Data; 5.6 Conformal Geometric Algebra Approach
  • Sphere Intersection with UncertaintiesExample; 5.7 Exercises; References; Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319906645
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1044733921
  • (OCoLC)1044733921

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