Cohomology of Drinfeld Modular Varieties, Part 1

Inmanyimportantareasofscientificcomputing,polynomialsinoneormorevariablesareemployedinthemathematicalmodelingofreal-lifephenomena;yetmostofclassicalcomputeralgebraassumesexactrationaldata.Thisbookisthefirstcomprehensivetreatmentofnumericalpolynomialalgebra,anemergingareathatfallsbetweenclassicalnumericalanalysisandclassicalcomputeralgebra,andwhichhasreceivedsurprisinglylittleattentionsofar.Theauthorintroducesaconceptualframeworkthatpermitsthemeaningfulsolutionofvariousalgebraicproblemswithmultivariatepolynomialequationswhosecoefficientshavesomeindeterminacy;forthispurpose,hecombinesapproachesofbothnumericallinearalgebraandcommutativealgebra.Fortheapplicationscientist,thisbookprovidesbothasurveyofpolynomialproblemsinscientificcomputingthatmaybesolvednumericallyandaguidetotheirnumericaltreatment.Inaddition,thebookprovidesbothintroductorysectionsandnovelextensions,makingitmoreeasilyaccessible.