Calculus of variations变分法

ThisbookbyRobertWeinstockwaswrittentOfilltheneedforabasicintroductiontothecalculusofvariations．Simplyandeasilvwritten．withanemphasis011theapplicationsofthiscalculus．ithaslongbeellastandardrefmenceofphysicists，engineersandappliedmathmnaticiansTheauthorbeginsslowly，introducingthereadel\"tothecalculusofvariations，andsupplyinglistsofessentialformulaeandderivations．Laterchapterscoverisoperimetricproblems，geometricaloptics，Fennat’sprinciple．dynamiCSofparticles．theSfLUm—Liouvilleeigenvalue·eigenfunctionproblem，thetheoryofelasticity，quan-tunlmechanics，andelectrostatics．EachchapterendswithaseriesofexerciseswhichshouklproveveivusefulindeterlniningⅥrhetherthematerialinthatchapterhasbeenthorotlghlygrasped．TheclarityofexpositionmakesthisbookeasilyaccessibletOanV。onewhohasmasteredirst—yearcalculuswithSOIlleexposuretoordinarydifferentialequationsPhysicistsandengineerswhofindvariationalmethodsevasiveattimeswillfindthisbookparticularlyhelpful．