The Many Faces of Maxwell, Dirac and Einstein Equations – 9783319276366

The Many Faces of Maxwell, Dirac and Einstein Equations - 9783319276366

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Book Title:The Many Faces of Maxwell, Dirac and Einstein Equations
Item Height:235 mm
Item Width:155 mm
Series:Lecture Notes in Physics
Author:Edmundo Capelas De Oliveira, Waldyr A. Rodrigues, Jr
Publication Name:The Many Faces of Maxwell, Dirac and Einstein Equations: a Clifford Bundle Approach
Format:Paperback
Language:English
Publisher:Springer International Publishing A&G
Subject:Mathematics,Physics
Publication Year:2016
Type:Textbook
Item Weight:9007 g
Number of Pages:587 Pages

The Many Faces of Maxwell, Dirac and Einstein Equations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). A Clifford Bundle Approach Author(s): Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira Format: Paperback Publisher: Springer International Publishing AG, Switzerland Imprint: Springer International Publishing AG ISBN-13: 9783319276366, 978-3319276366 Synopsis This 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. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. 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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The Many Faces of Maxwell, Dirac and Einstein Equations – 9783319276366

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