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
Dewey number
512.57
Index
index present
LC call number
QA199
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in Mathematics
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
9783319906652
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
9783319906652
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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