Geometric Algebra and Applications to Physics

Informationen zum Autor de Sabbata! Venzo; Datta! Bidyut Kumar Klappentext Bringing geometric algebra to the mainstream of physics pedagogy! this book presents geometric algebra as a discipline within mathematical physics and shows how geometric algebra can be applied to numerous fundamental problems in physics! especially in experimental situations. It introduces the essential features of postulates and their underlying framework; bivectors! multivectors! and their operators; spinor and Lorentz rotations; and Clifford algebra! extending some of these topics into three dimensions. Well-known for their research in general relativity! the authors cover Maxwell's equations! electromagnetic waves' states of polarization! the Dirac equation! wave functions! fiber bundles! and the quantization of gravity. Zusammenfassung Bringing geometric algebra to the mainstream of physics pedagogy, this book presents geometric algebra as a discipline within mathematical physics and shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. It covers Maxwell's equations, the Dirac equation, and wave functions. Inhaltsverzeichnis The Basis for Geometric Algebra. Multivectors. Euclidean Plane. The Pseudoscalar and Imaginary Unit. Real Dirac Algebra. Spinor and Quaternion Algebra. Maxwell Equations. Electromagnetic Field in Space and Time (Polarization of Electromagnetic Waves). General Observations and Generators of Rotations (Neutron Interferometer Experiment). Quantum Gravity in Real Space-Time (Commutators and Anticommutators).

Product details

• Authors: Bidyut Kumar Datta, Datta Bidyut Kumar, Venzo De Sabbata, Venzo Datta De Sabbata, Venzo/ Datta De Sabbata, Venzo De Sabbata, Venzo De Datta Sabbata, De Sabbata Venzo
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 07.12.2006
• EAN: 9781584887720
• ISBN: 978-1-58488-772-0
• No. of pages: 184
• Dimensions: 159 mm x 235 mm x 13 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, SCIENCE / Physics / General, MATHEMATICS / Applied, MATHEMATICS / Algebra / General, Physics, Maths for scientists