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000844141 019__ $$a1044862794$$a1045481927$$a1046105111
000844141 020__ $$a9783319906652$$q(electronic book)
000844141 020__ $$a3319906658$$q(electronic book)
000844141 020__ $$z9783319906645
000844141 020__ $$z331990664X
000844141 035__ $$aSP(OCoLC)on1044733921
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000844141 049__ $$aISEA
000844141 050_4 $$aQA199
000844141 08204 $$a512.57$$223
000844141 1001_ $$aLavor, Carlile,$$eauthor.
000844141 24512 $$aA Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry /$$cCarlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana.
000844141 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000844141 264_4 $$c©2018
000844141 300__ $$a1 online resource.
000844141 336__ $$atext$$btxt$$2rdacontent
000844141 337__ $$acomputer$$bc$$2rdamedia
000844141 338__ $$aonline resource$$bcr$$2rdacarrier
000844141 4901_ $$aSpringerBriefs in Mathematics
000844141 504__ $$aIncludes bibliographical references and index.
000844141 5050_ $$aIntro; Preface; Acknowledgements; Contents; 1 Low Dimensional Geometric Algebras; 1.1 Linear Algebra Background; Metrics; Euclidean Spaces; Algebras; Exterior Powers and Exterior Algebra; The Projective Space P E; 1.2 GA of the Euclidean Plane, G2; Geometric Algebra; 1.3 GA of the Euclidean Space, G3; Geometric Background; Geometric Algebra; Inner Product and Applications to Vector Algebra; 1.4 GA of the Minkowski Space, G1,3; Clifford Units; Exterior Product and the Canonical Linear Grading of D; The Inner Product; Involutions; Hodge Duality; Relative Space and the Pauli Algebra
000844141 5058_ $$a1.5 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
000844141 5058_ $$aThe Relativistic Lorentz Force LawPotentials; Relative Transformation of the Electromagnetic Field; 3.4 A GA View of Dirac's Equation; 3.5 Exercises; 4 Robot Kinematics; 4.1 Classical Kinematics; 4.2 Forward Kinematics; 4.3 Differential Kinematics; 4.4 Inverse Kinematics; 4.5 Identification of Singularities; 4.6 Exercises; 5 Molecular Geometry; 5.1 Distance Geometry; 5.2 Discretizable Molecular Distance Geometry Problem; 5.3 Cartesian and Internal Coordinates; 5.4 Geometric Algebra Approach; 5.5 Uncertainties from NMR Data; 5.6 Conformal Geometric Algebra Approach
000844141 5058_ $$aSphere Intersection with UncertaintiesExample; 5.7 Exercises; References; Index
000844141 506__ $$aAccess limited to authorized users.
000844141 520__ $$a"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."--$$cProvided by publisher.
000844141 588__ $$aOnline resource; title from PDF title page (viewed July 17, 2018).
000844141 650_0 $$aClifford algebras.
000844141 7001_ $$aXambó-Descamps, S.$$q(Sebastián),$$d1945-$$eauthor.
000844141 7001_ $$aZaplana, Isiah,$$eauthor.
000844141 77608 $$iPrint version: $$z331990664X$$z9783319906645$$w(OCoLC)1029886503
000844141 830_0 $$aSpringerBriefs in mathematics.
000844141 852__ $$bebk
000844141 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-90665-2$$zOnline Access$$91397441.1
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000844141 983__ $$aOnline
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