Clifford Algebras and Their Applications in Mathematical Physics 1

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Clifford Algebras and Their Applications in Mathematical Physics

John Ryan • Wolfgang Sproessig

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342 sidor
2000

The second part of a two-volume set concerning the field of Clifford (geometric) algebra, this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. This volume is a survey of most aspects of Clifford analysis. Topics range from applications such as complex-distance potential theory, supersymmetry, and fluid dynamics to Fourier analysis, the study of boundary value problems, and applications, to mathematical physics and Schwarzian derivatives in Euclidean space. Among the mathematical topics examined are generalized Dirac operators, holonomy groups, monogenic and hypermonogenic functions and their derivatives, quaternionic Beltrami equations, Fourier theory under Mobius transformations, Cauchy-Reimann operators, and Cauchy type integrals.

Författare: John Ryan, Wolfgang Sproessig
Format: Inbunden
ISBN: 9780817641832
Språk: Engelska
Antal sidor: 342
Utgivningsdatum: 2000-07-01
Förlag: Birkhauser Boston