Buch, Englisch, 352 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 693 g
A Computational Tool for Physicists
Buch, Englisch, 352 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 693 g
ISBN: 978-0-19-509824-2
Verlag: Oxford University Press
Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Its applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have become a virtual necessity in some areas of physics and their use is expanding in other areas; for example, in algebraic manipulations involving Dirac matrices in quantum thermodynamics, in Kaluza-Klein theories and dimensional renormalization theories, and in the formation of superstring theories.
The book is aimed at beginning graduate physics and math students learning mathematical physics, relativity, quantum physics, or applied mathematics; and mathematical physicists.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Algebra Elementare Algebra
Weitere Infos & Material
- 1.: A Taste of Clifford Algebra in Euclidean 3-Space
- 2.: A Sample of Clifford Algebra in Minkowski 4-Space
- 3.: Clifford Algebra for Flat n-Dimensional Spaces
- 4.: Curved Spaces Embedded in Higher Dimensional Flat Spaces
- 5.: The Use of Fock-Ivanenko 2-Vectors to Deal with Curved Spaces
- 6.: The Use of Fock-Ivanenko 2-Vectors to Obtain the Schwarzschild Metric
- 7.: The Exterior Derivative d and the Codifferential Operator d
- 8.: Dirac's Equation for the Electron
- 9.: The Kerr Metrick by an Elementary Brute Force Method
- 10.: Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric
- 11.: Matrix Representations and Classifications of Clifford Algebras
