,Thist paget intentionallyt leftt blank
,Studentt Solutiont Manualt for
EssentialtMathematicaltMethodstfortthetPhysicaltSciences
ThistStudenttSolutiontManualtprovidestcompletetsolutionsttotalltthetodd-
numberedtproblemstintEssentialtMathematicaltMethodstfortthetPhysicaltSciences.tItttakeststudentstth
roughteachtproblemtsteptbytstep,tsottheytcantclearlytseethowtthetsolutiontistreached,tandtunderstandta
nytmistakestinttheirtowntworking.tStudentstwilltlearntbytexamplethowttotselecttantappropriatetmethod,t
improvingttheirtproblem-solvingtskills.
K. t t F. t t R IL e Y t readtmathematicstattthetUniversitytoftCambridgetandtproceededttotatPh.D.ttheretintthe
oreticaltandtexperimentaltnucleartphysics.tHetbecametatResearchtAssociatetintelementarytparticletph
ysicstattBrookhaven,tandtthen,thavingttakentuptatlectureshiptattthetCavendishtLaboratory,tCambridge,tco
ntinuedtthistresearchtattthetRutherfordtLaboratorytandtStanford;tintparticularthetwastinvolvedt int thet e
xperimentalt discoveryt oft at numbert oft thet earlyt baryonict resonances.t Ast welltasthavingtbeentSenio
rtTutortattClaretCollege,twherethethasttaughttphysicstandtmathematicstfortovert40tyears,thethastserve
dtontmanytcommitteestconcernedtwithtthetteachingtandtexaminingtofttheset subjectst att allt levelst oft te
rtiaryt andt undergraduatet education.t Het ist alsot onet oft thet authorstoft200tPuzzlingtPhysicstProblemst(
CambridgetUniversitytPress,t2001).
M. t P. t H O B s O N t readtnaturaltsciencestattthetUniversitytoftCambridge,tspecializingtinttheoreticaltphy
sics,tandtremainedtattthetCavendishtLaboratoryttotcompletetatPh.D.tintthetphysicstoftstartformation.t
Ast at Researcht Fellowt att Trinityt Hall,t Cambridge,t andt subsequentlyt ant Advancedt FellowtoftthetParticlet
PhysicstandtAstronomytResearchtCouncil,thetdevelopedtantinteresttintcosmology,tandtintparticulartintthet
studytoftfluctuationstintthetcosmictmicrowavetbackground.tHetwastinvolvedtintthetfirsttdetectiontoftth
esetfluctuationstusingtatground-
basedtinterferometer.tCurrentlytatUniversitytReadertattthetCavendishtLaboratory,thistresearchtinterestst
includetbothttheoreticaltandtobservationaltaspectstoftcosmology,tandthetistthetprincipaltauthortoftGen
eraltRelativity:tAntIntroductiontfortPhysicistst(CambridgetUniversitytPress,t2006).tHetistalsotatDirect
ortoftStudiestintNaturaltSciencestattTrinitytHalltandtenjoystantactivetroletintthetteachingtoftundergraduat
etphysicstandtmathematics.
,
,Studentt Solutiont Manualt for
EssentialtMathematicaltMethodstfortthetPhysicaltSciences
ThistStudenttSolutiontManualtprovidestcompletetsolutionsttotalltthetodd-
numberedtproblemstintEssentialtMathematicaltMethodstfortthetPhysicaltSciences.tItttakeststudentstth
roughteachtproblemtsteptbytstep,tsottheytcantclearlytseethowtthetsolutiontistreached,tandtunderstandta
nytmistakestinttheirtowntworking.tStudentstwilltlearntbytexamplethowttotselecttantappropriatetmethod,t
improvingttheirtproblem-solvingtskills.
K. t t F. t t R IL e Y t readtmathematicstattthetUniversitytoftCambridgetandtproceededttotatPh.D.ttheretintthe
oreticaltandtexperimentaltnucleartphysics.tHetbecametatResearchtAssociatetintelementarytparticletph
ysicstattBrookhaven,tandtthen,thavingttakentuptatlectureshiptattthetCavendishtLaboratory,tCambridge,tco
ntinuedtthistresearchtattthetRutherfordtLaboratorytandtStanford;tintparticularthetwastinvolvedt int thet e
xperimentalt discoveryt oft at numbert oft thet earlyt baryonict resonances.t Ast welltasthavingtbeentSenio
rtTutortattClaretCollege,twherethethasttaughttphysicstandtmathematicstfortovert40tyears,thethastserve
dtontmanytcommitteestconcernedtwithtthetteachingtandtexaminingtofttheset subjectst att allt levelst oft te
rtiaryt andt undergraduatet education.t Het ist alsot onet oft thet authorstoft200tPuzzlingtPhysicstProblemst(
CambridgetUniversitytPress,t2001).
M. t P. t H O B s O N t readtnaturaltsciencestattthetUniversitytoftCambridge,tspecializingtinttheoreticaltphy
sics,tandtremainedtattthetCavendishtLaboratoryttotcompletetatPh.D.tintthetphysicstoftstartformation.t
Ast at Researcht Fellowt att Trinityt Hall,t Cambridge,t andt subsequentlyt ant Advancedt FellowtoftthetParticlet
PhysicstandtAstronomytResearchtCouncil,thetdevelopedtantinteresttintcosmology,tandtintparticulartintthet
studytoftfluctuationstintthetcosmictmicrowavetbackground.tHetwastinvolvedtintthetfirsttdetectiontoftth
esetfluctuationstusingtatground-
basedtinterferometer.tCurrentlytatUniversitytReadertattthetCavendishtLaboratory,thistresearchtinterestst
includetbothttheoreticaltandtobservationaltaspectstoftcosmology,tandthetistthetprincipaltauthortoftGen
eraltRelativity:tAntIntroductiontfortPhysicistst(CambridgetUniversitytPress,t2006).tHetistalsotatDirect
ortoftStudiestintNaturaltSciencestattTrinitytHalltandtenjoystantactivetroletintthetteachingtoftundergraduat
etphysicstandtmathematics.
,
