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Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics, 39) Hardback - 2004
by Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C
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Details
- Title Analysis of Dirac Systems and Computational Algebra (Progress in Mathematical Physics, 39)
- Author Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C
- Binding Hardback
- Edition 1st
- Condition New
- Pages 332
- Volumes 1
- Language ENG
- Publisher Birkhäuser
- Publication date 2004-09-23
- Features Bibliography, Index
- Bookseller's Inventory # Q-0817642552
- ISBN 9780817642556 / 0817642552
- Weight 1.45 lbs (0.66 kg)
- Dimensions 9.2 x 6.3 x 0.9 in (23.37 x 16.00 x 2.29 cm)
- Category Mathematics
- Library of Congress subjects Mathematical physics, Differential equations, Partial
- Library of Congress Catalogue Number 2004053657
- Dewey Decimal Code 530.152
- Quantity available 1
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From the publisher
First line
In this section we review basic ideas from commutative algebra with an emphasis on the concept of resolution for a module.
From the rear cover
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 Grbner bases as a primary theoretical tool.
Knowledge from different fields of mathematics such as commutative algebra, Grbner 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.
