OrdinaryDifferentialEquations:ABriefEclecticTour(ClassroomResourceMaterials)

Algebraicgeometry,centraltopuremathematics,hasimportantapplicationsinsuchfieldsasengineering,computerscience,statisticsandcomputationalbiology,whichexploitthecomputationalalgorithmsthatthetheoryprovides.Usersgetthefullbenefit,however,whentheyknowsomethingoftheunderlyingtheory,aswellasbasicproceduresandfacts.Thisbookisasystematicintroductiontothecentralconceptsofalgebraicgeometrymostusefulforcomputation.Writtenforadvancedundergraduateandgraduatestudentsinmathematicsandresearchersinapplicationareas,itfocusesonspecificexamplesandrestrictsdevelopmentofformalismtowhatisneededtoaddresstheseexamples.Inparticular,itintroducesthenotionofGr?bnerbasesearlyonanddevelopsalgorithmsforalmosteverythingcovered.ItisbasedoncoursesgivenoverthepastfiveyearsinalargeinterdisciplinaryprogrammeincomputationalalgebraicgeometryatRiceUniversity,spanningmathematics,computerscience,biomathematicsandbioinformatics.