國立虎尾科技大學 |

The Many Faces of Maxwell, Dirac and Einstein Equations = A Clifford Bundle Approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Many Faces of Maxwell, Dirac and Einstein Equations/ by Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira.
Reminder of title:	A Clifford Bundle Approach /
Author:	Rodrigues, Jr, Waldyr A.
other author:	Capelas de Oliveira, Edmundo.
Description:	XVI, 587 p. 14 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Gravitation. -
Online resource:	https://doi.org/10.1007/978-3-319-27637-3
ISBN:	9783319276373

The Many Faces of Maxwell, Dirac and Einstein Equations = A Clifford Bundle Approach /
Rodrigues, Jr, Waldyr A.

The Many Faces of Maxwell, Dirac and Einstein EquationsA Clifford Bundle Approach /[electronic resource] :by Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira. - 2nd ed. 2016. - XVI, 587 p. 14 illus.online resource. - Lecture Notes in Physics,9220075-8450 ;. - Lecture Notes in Physics,891.

Preface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index.

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).

ISBN: 9783319276373

Standard No.: 10.1007/978-3-319-27637-3doiSubjects--Topical Terms:

591793
Gravitation.

LC Class. No.: QC178

Dewey Class. No.: 530.1

The Many Faces of Maxwell, Dirac and Einstein Equations = A Clifford Bundle Approach /
LDR:03860nam a22004335i 4500 001 982064
003 DE-He213
005 20200704040918.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319276373 $9 978-3-319-27637-3
024 7 $a 10.1007/978-3-319-27637-3 $2 doi
035 $a 978-3-319-27637-3
050 4 $a QC178
050 4 $a QC173.5-173.65
072 7 $a PHR $2 bicssc
072 7 $a SCI061000 $2 bisacsh
072 7 $a PHDV $2 thema
072 7 $a PHR $2 thema
082 0 4 $a 530.1 $2 23
100 1 $a Rodrigues, Jr, Waldyr A. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1274297
245 1 4 $a The Many Faces of Maxwell, Dirac and Einstein Equations $h [electronic resource] : $b A Clifford Bundle Approach / $c by Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira.
250 $a 2nd ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XVI, 587 p. 14 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Physics, $x 0075-8450 ; $v 922
505 0 $a Preface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index.
520 $a 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).
650 0 $a Gravitation. $3 591793
650 0 $a Mathematical physics. $3 527831
650 0 $a Differential geometry. $3 882213
650 1 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 769093
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Differential Geometry. $3 671118
700 1 $a Capelas de Oliveira, Edmundo. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1108374
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319276366
776 0 8 $i Printed edition: $z 9783319276380
830 0 $a Lecture Notes in Physics, $x 0075-8450 ; $v 891 $3 1253935
856 4 0 $u https://doi.org/10.1007/978-3-319-27637-3
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
912 $a ZDB-2-LNP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)