This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.
| Limba | Engleza |
| Cuprins | Introduction.- Multiform and Extensor Calcula.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- Some Issues in Relativistic Spacetime Theories.- Clifford and Dirac-Hestenes Spinor Fields.- Lagrangian Formalism in Minkowski Spacetime.- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes.- The DHE on a RCS and the Meaning of Active Local Lorentz Invariance.- Gravitational Theory in Minkowski Spacetime.- On the Many Faces of Einstein's Equations.- Maxwell, Dirac and Seiberg-Witten Equations.- Superparticles and Superfields.- Principal Bundles, Vector Bundles and Connections. |
| Data Publicarii | 3 July 07 |
| Format | Hardback |
| Paginare | 460 |
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