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Anotace knihy

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)§§

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Many Faces of Maxwell, Dirac and Einstein Equations
• Podnázev: A Clifford Bundle Approach
• Autor: Waldyr A. Rodrigues, Edmundo Capelas de Oliveira
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 587
• EAN: 9783319276366
• ISBN: 3319276360
• ID: 02844191
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 9007 g
• Rozměry: 235 × 155 × 27 mm
• Datum vydání: 27. April 2016

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