## The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle ApproachThis book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. From the reviews of the first edition:
“The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k) |

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### Contents

1 | |

21 | |

3 The Hidden Geometrical Nature of Spinors | 69 |

4 Some Differential Geometry | 106 |

5 Clifford Bundle Approach to the Differential Geometry of Branes | 189 |

6 Some Issues in Relativistic Spacetime Theories | 225 |

7 Clifford and DiracHestenes Spinor Fields | 291 |

8 A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime | 331 |

12 On the Many Faces of Einstein Equations | 428 |

13 Maxwell Dirac and SeibergWitten Equations | 451 |

14 Superparticles and Superfields | 484 |

15 Maxwell Einstein Dirac and NavierStokes Equations | 501 |

16 Magnetic Like Particles and Elko Spinor Fields | 517 |

A Principal Bundles Vector Bundles and Connections | 544 |

Acronyms and Abbreviations | 574 |

List of Symbols | 575 |