微分方程：理论.技术及实践

GeorgeSimmonssfinetextisatraditionalbookwrittenintheclassicalstyle.Itprovidesacogentandaccessibleintroductiontoallthetraditionaltopics.Itisapleasuretohavethisopportunitytobringthistextuptodateandtoaddsomemoretimelymaterial.Wehavestreamlinedsomeoftheexpositionandaugmentedotherparts.ThereisnowcomputerworkbasednotonlyonnumbercrunchingbutalsooncomputeralgebrasystemssuchasMaple，Mathematica，andMATLAB.Certainlyastudyofflowsandvectorfields，andofthebeautifulPoincare-Bendixsontheorybuilttheorem，isessentialforanymoderntreatment.Onecanintroducesomeofthemodernideasfromthetheoryofdynamicstoobtainqualitativeinformationaboutnonlineardifferentialequationsandsystems.Andalloftheaboveisabasisformodeling.Modelingiswhatbringsthesubjecttolifeandmakestheideasrealforthestudents：Differentialequationscanmodelreal-lifequestions，andcomputercalculationsandgraphicscanthenprovidereal-lifeanswers.Thesymbiosisofthesyntheticandthecalculationalprovidesaricheducationalexperienceforstudents，anditpreparesthemformoreconcrete，appliedworkinfuturecourses.ThenewAnatomyofanApplicationsectionsinthiseditionshowcasesomerichapplicationsfromengineering，physics，andappliedscience.