000 02031nam a2200337Ia 4500
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020 _a0817642552
037 _cTextbook
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aC:(B) P4 TC
_qCSL
100 _aColombo, Fabrizio
_91116805
245 0 _aAnalysis of dirac systems and computational algebra
260 _aBoston:
_bBirkhauser,
_c2004.
300 _axiv, 332p.
_b: ill.
490 _aProgress in Mathematical Physics; 39
500 _aBibliography 313-326p.; Index 327-332p.
520 _aThe 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.
650 _aComputational algebra
_91116806
650 _aDifferential equations
650 _aDirac equation
_91116807
650 _aMathematical physics
650 _aMathematics
700 _aSabadini, Irene
_91116808
700 _aSommen, Franciscus
_91116809
700 _aStruppa, Daniele C.
_91116810
942 _hC:(B) P4 TC
_cTB
_2CC
999 _c49565
_d49565