Geometric algebra and applications to physics. (©2007)

• Record Type: Book
• Further Information: Note: Venzo de Sabbata, Bidyut Kumar Datta.
• Other Names: De Sabbata, Venzo; Datta, Bidyut Kumar
• Contents: Cover -- TOC36;Contents -- Part I -- CH36;1 The Basis for Geometric Algebra -- 146;1 Introduction -- 146;2 Genesis of Geometric Algebra -- 146;3 Mathematical Elements of Geometric Algebra -- 146;4 Geometric Algebra as a Symbolic System -- 146;5 Geometric Algebra as an Axiomatic System 40;Axiom A41; -- 146;6 Some Essential Formulas and Definitions -- References -- CH36;2 Multivectors -- 246;1 Geometric Product of Two Bivectors A and B -- 246;2 Operation of Reversion -- 246;3 Magnitude of a Multivector -- 246;4 Directions and Projections -- 246;5 Angles and Exponential Functions 40;as Operators41; -- 246;6 Exponential Functions of Multivectors -- References -- CH36;3 Euclidean Plane -- 346;1 The Algebra of Euclidean Plane -- 346;2 Geometric Interpretation of a Bivector of Euclidean Plane -- 346;3 Spinor i45;Plane -- 346;4 Distinction between Vector and Spinor Planes -- 346;5 The Geometric Algebra of a Plane -- References -- CH36;4 The Pseudoscalar and Imaginary Unit -- 446;1 The Geometric Algebra of Euclidean Space -- 446;2 Complex Conjugation -- Appendix A58; Some Important Results -- References -- CH36;5 Real Dirac Algebra -- 546;1 Geometric Significance of the Dirac Matrices 38;35;94759;60;sub62;38;35;95659;60;47;sub62; -- 546;2 Geometric Algebra of Space45;Time -- 546;3 Conjugations -- 546;4 Lorentz Rotations -- 546;5 Spinor Theory of Rotations in Three45;Dimensional Euclidean Space -- References -- CH36;6 Spinor and Quaternion Algebra -- 646;1 Spinor Algebra58; Quaternion Algebra -- 646;2 Vector Algebra -- 646;3 Clifford Algebra58; Grand Synthesis of Algebra of Grassmann and Hamilton and the Geometric Algebra of Hestenes -- References -- Part II -- CH36;7 Maxwell Equations -- 746;1 Maxwell Equations in Minkowski Space45;Time -- 746;2 Maxwell Equations in Riemann Space45;Time 40;V60;sub62;460;47;sub62; Manifold41; -- 746;3 Maxwell Equations in RiemannCartan Space45;Time 40;U60;sub62;460;47;sub62; Manifold41; -- 746;4 Maxwell Equations in Terms of Space45;Time Algebra 40;STA41; -- References -- CH36;8 Electromagnetic Field in Space and Time 40;Polarization of Electromagnetic Waves41; -- 846;1 Electromagnetic 40;e46;m46;41; Waves and Geometric Algebra -- 846;2 Polarization of Electromagnetic Waves -- 846;3 Quaternion Form of Maxwell Equations from the Spinor Form of STA -- 846;4 Maxwell Equations in Vector Algebra from the Quaternion 40;Spinor41; Formalism -- 846;5 MajoranaWeyl Equations from the Quaternion 40;Spinor41; Formalism of Maxwell Equations -- Appendix A58; Complex Numbers in Electrodynamics -- Appendix B58; Plane45;Wave Solutions to Maxwell Equations 8212; Polarization of e46;m46; Waves -- References -- CH36;9 General Observations and Generators of Rotations 40;Neutron Interferometer Experiment41; -- 946;1 Review of Space45;Time Algebra 40;STA41; -- 946;2 The Dirac Equation without Complex Numbers -- 946;3 Observables and the Wave Function -- 946;4 Generators of Rotations in Space45;Time58; Intrinsic Spin -- 946;5 Fiber Bundles and Quantum Theory vis45;224;45;vis the Geometric Algebra Approach -- 946;6 Fiber Bundle Picture of the Neutron Interferometer Experiment -- 946;7 Charge Conjugation -- Appendix A -- Referenc.
• Publisher Details: New York : Taylor & Francis
• Publication Date: 2007
• Copyright Date: 2007
• Extent: 1 online resource (168 pages), illustrations
• Subjects: 530.15/1635; Geometry, Algebraic; Mathematical physics; SCIENCE -- Physics -- Mathematical & Computational; Geometry, Algebraic; Mathematical physics; Electronic books
• Languages: English
• ISBNs: 9781584887737; 1584887737; 1584887729; 9781584887720
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.