Analysis of dirac systems and computational algebra

By:

Colombo, Fabrizio

Contributor(s):

Material type:

TextLanguage: English Series: Progress in Mathematical Physics; 39Publication details: Boston: Birkhauser, 2004.Description: xiv, 332p. : illISBN:

0817642552

Subject(s):

Other classification:

C:(B) P4 TC

Summary: The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science. The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems.Knowledge from different fields of mathematics such as commutative algebra, Grobner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented.The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics.

Item type:

Textbook

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Textbook	Central Science Library	Central Science Library			C:(B) P4 TC (Browse shelf(Opens below))					Available			SL1291664

Bibliography 313-326p.; Index 327-332p.

The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science. The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems.Knowledge from different fields of mathematics such as commutative algebra, Grobner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented.The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics.

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