MathematicsforEconomicsandFinance:MethodsandModelling

Researchintothestabilityofmatterhasbeenoneofthemostsuccessfulchaptersinmathematicalphysics,andisaprimeexampleofhowmodernmathematicscanbeappliedtoproblemsinphysics.Auniqueaccountofthesubject,thisbookprovidesacomplete,self-containeddescriptionofresearchonthestabilityofmatterproblem.Itintroducesthenecessaryquantummechanicstomathematicians,andaspectsoffunctionalanalysistophysicists.Thetopicscoveredincludeelectrodynamicsofclassicalandquantizedfields,Lieb-Thirringandotherinequalitiesinspectraltheory,inequalitiesinelectrostatics,stabilityoflargeCoulombsystems,gravitationalstabilityofstars,basicsofequilibriumstatisticalmechanics,andtheexistenceofthethermodynamiclimit.Thebookisanup-to-dateaccountforresearchers,anditspedagogicalstylemakesitsuitableforadvancedundergraduateandgraduatecoursesinmathematicalphysics.