微分方程与数学物理问题

APracticalCourseinDifferentialEquationsandMathematicalModellingisauniqueblendofthetraditionalmethodsofordinaryandpartialdifferentialequationswithLiegroupanalysisenrichedbytheauthorsowntheoreticaldevelopments.Thebook——whichaimstopresentnewmathematicalcurriculabasedonsymmetryandinvarianceprinciples——istailoredtodevelopanalyticskillsand"workingknowledge"inbothclassicalandLiesmethodsforsolvinglinearandnonlinearequations.Thisapproachhelpstomakecoursesndifferentialequations，mathematicalmodelling，distributionsandfundamentalsolution，etc.easytofollowandinterestingforstudents.ThebookisbasedontheauthorsextensiveteachingexperienceatNovosibirskandMoscowuniversitiesinRussia，CollegedeFrance，GeorgiaTechandStanfordUniversityintheUnitedStates，universitiesinSouthAfrica，Cyprus，Turkey，andBlekingeInstituteofTechnology(BTH)inSweden.Thenewcurriculumpreparesstudentsforsolvingmodernnonlinearproblemsandwillessentiallybemoreappealingtostudentscomparedtothetraditionalwayofteachingmathematics.Thebookcanbeusedasamaintextbookbyundergraduateandgraduatestudentsanduniversitylecturersinappliedmathematics，physicsandengineering.