Analysis of Dirac Systems and Computational Algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2004
|
| Series: | Progress in Mathematical Physics
39 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XV, 332 p) |
| ISBN: | 9780817681661 9781461264699 |
| DOI: | 10.1007/978-0-8176-8166-1 |
Staff View
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| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817681661 9781461264699 |
| language | English |
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| spelling | Colombo, Fabrizio Verfasser (DE-588)140988874 aut Analysis of Dirac Systems and Computational Algebra by Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XV, 332 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematical Physics 39 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 Mathematics Matrix theory Differential equations, partial Mathematical physics Partial Differential Equations Linear and Multilinear Algebras, Matrix Theory Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Dirac-Operator (DE-588)4150118-4 gnd rswk-swf Clifford-Analysis (DE-588)4484012-3 gnd rswk-swf Clifford-Analysis (DE-588)4484012-3 s Dirac-Operator (DE-588)4150118-4 s 1\p DE-604 Sabadini, Irene 1965- Sonstige (DE-588)130606936 oth Sommen, Franciscus Sonstige oth Struppa, Daniele Carlo 1955- Sonstige (DE-588)172410134 oth https://doi.org/10.1007/978-0-8176-8166-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Colombo, Fabrizio Analysis of Dirac Systems and Computational Algebra Mathematics Matrix theory Differential equations, partial Mathematical physics Partial Differential Equations Linear and Multilinear Algebras, Matrix Theory Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Dirac-Operator (DE-588)4150118-4 gnd Clifford-Analysis (DE-588)4484012-3 gnd |
| subject_GND | (DE-588)4150118-4 (DE-588)4484012-3 |
| title | Analysis of Dirac Systems and Computational Algebra |
| title_auth | Analysis of Dirac Systems and Computational Algebra |
| title_exact_search | Analysis of Dirac Systems and Computational Algebra |
| title_full | Analysis of Dirac Systems and Computational Algebra by Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa |
| title_fullStr | Analysis of Dirac Systems and Computational Algebra by Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa |
| title_full_unstemmed | Analysis of Dirac Systems and Computational Algebra by Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa |
| title_short | Analysis of Dirac Systems and Computational Algebra |
| title_sort | analysis of dirac systems and computational algebra |
| topic | Mathematics Matrix theory Differential equations, partial Mathematical physics Partial Differential Equations Linear and Multilinear Algebras, Matrix Theory Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Dirac-Operator (DE-588)4150118-4 gnd Clifford-Analysis (DE-588)4484012-3 gnd |
| topic_facet | Mathematics Matrix theory Differential equations, partial Mathematical physics Partial Differential Equations Linear and Multilinear Algebras, Matrix Theory Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Dirac-Operator Clifford-Analysis |
| url | https://doi.org/10.1007/978-0-8176-8166-1 |
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