Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics, 39)

Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C.

ISBN 10: 0817642552 / ISBN 13: 9780817642556

Verlag: Birkhäuser, 2004

Beschreibung

In shrink wrap. Looks like an interesting title! Bestandsnummer des Verkäufers Q-0817642552

Bibliografische Details

Titel: Analysis of Dirac Systems and Computational ...

Verlag: Birkhäuser

Erscheinungsdatum: 2004

Einband: Hardcover

Zustand: New

Über diesen Titel

Inhaltsangabe:

* 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

* All the necessary classical material is initially presented

* Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics

Von der hinteren Coverseite:

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 with constant coefficients, focusing attention on null solutions of Dirac systems. In addition to their usual significance in physics, such solutions are important mathematically as an extension of the function theory of several complex variables. The term "computational" in the title emphasizes two main features of the book, namely, the heuristic use of computers to discover results in some particular cases, and the application of Gröbner bases as a primary theoretical tool.

Knowledge from different fields of mathematics such as commutative algebra, Gröbner 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 partial differential equations with constant coefficients, and mathematical physics.