The Resource A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana
A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana
Resource Information
The item A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 spacetime, 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 3Dprotein 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."
 Language
 eng
 Extent
 1 online resource.
 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 SpaceTime: 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 SpaceTime Geometry; 3.2 A GA View of the Lorentz Group; DRotors 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
 Isbn
 9783319906652
 Label
 A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry
 Title
 A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry
 Statement of responsibility
 Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana
 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 spacetime, 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 3Dprotein 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."
 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

 XambóDescamps, S.
 Zaplana, Isiah
 Series statement
 SpringerBriefs in Mathematics
 http://library.link/vocab/subjectName
 Clifford algebras
 Label
 A Geometric Algebra Invitation to SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana
 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 SpaceTime: 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 SpaceTime Geometry; 3.2 A GA View of the Lorentz Group; DRotors 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 SpaceTime Physics, Robotics and Molecular Geometry, Carlile Lavor, Sebastià XambóDescamps, Isiah Zaplana
 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 SpaceTime: 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 SpaceTime Geometry; 3.2 A GA View of the Lorentz Group; DRotors 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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