Differential Equations

Basedonhisextensiveexperienceasaneducator，F.G.Tricomiwrotethispracticalandconciseteachingtexttoofferaclearideaoftheproblemsandmethodsofthetheoryofdifferentialequations.Thetreatmentisgearedtowardadvancedundergraduatesandgraduatestudentsandaddressesonlyquestionsthatcanberesolvedwithrigorandsimplicity.
Startingwithaconsiderationoftheexistenceanduniquenesstheorem，thetextadvancestothebehaviorofthecharacteristicsofafirst-orderequation，boundaryproblemsforsecond-orderlinearequations，asymptoticmethods，anddifferentialequationsinthecomplexfield.Theauthordiscussesonlyordinarydifferentialequations，excludingcoverageofthemethodsofintegrationandstressingtheimportanceofreadingthepropertiesoftheintegralsdirectlyfromtheequations.Anextensivebibliographyandhelpfulindexesconcludethetext.