文档介绍:BlementaryDifferentialGeometry
CurvesandSurfaces
Edition2003
MartinRaussoent
PnrurkrorMAmmwxmicArSomkcrs,AAtnomaUNvnnsrrv,nrpmk
DApRsye17G,Di0220AALpohdGSt十打00338855,5MALRAUSSENGSyALLAUCpK
TwonditstotiuuitnyeollesgneibetFjvtrapwhohrondednuyofiefeueein
Uistest
Contents
ChapteLhneandSpaeTinearAlgahraandGeometry
1VectomcandPoduects
2DeseripionofinusandPlanes
3OrtogonalProjeetiousDistaneesanduneles
4ChongeofCooionewteaw
Chapter2Chrvesinneamdspaee
1Vectorfonetionsnonesariable
2PanumetiedChure
3Curaune
4SpseeChnvosMoriagrnesandTomin
Chupler38RegulutSurtees
Paramerationgofsurfiee
Nomalwerionsandnomalr
Nentalandeodisieeunaheetiesee
PrineipalooratomesCansiancormnmendMemnrte
6,Specialattee
吴东吴工
Undex
CHAPTER
PlaneandSpaceDincarAlgcbraandGcomctry
Theporposeofthiscomseisthestndyofnndsoocosandthowsareingoenl
eureetSesetleleseouriinlookloderstadsudalyteliewecuredbeceute
oongongInnsandplanesandthewihceedhngeslongsreinpaficeThi
诊shewestartwillabieiaplerasseunbingpreretisitesbouliacergeouettyand
algeboeMostor吊ofhewewilbenowintheederfromclonentanycnmesamd
texubools,Weelsongeometiespeclsoinetlodserowediomneatlptook
wilonlyheinehndedforthoweproperiesHatneimportbontforihefohnedevelopment
1VectorsandProducts
1Veetors,OurmoddlsInpleueamdspaeeageUieLaclitenteelorgpacesR
uniqueepresentation
w工十2shorlx工
whileespaeesectoryTItsslniduerepreetatian
8一皋门咤十I许sorty一胡
wberez0rogarealnutnbersAspesialseelortheeweelor
WitlcspeetethesivencoonlialesslensiestnoflwoseetomxandyinR
onlonlntndcomponmtwiee
吊刀D二围一加东十动吊一江
Sinilnrirforihedifermceofiwowweros
beumtipliedwilicamealaunbera
E
aa
命一nlamonb5又
esollertheseopomstionsgheeloUielowbeoucepw
1PAranSpycfIryrsntsiGrntsAcnosrmey
Dnprrok1目Awgetor史一皇十李04一人首ealed
uearcomlinationafLheseeloryxnd8戈ectot呆
命十陆十伸06人玖笑agliednjhnearpominationofthe
weetoesxeyandz
4inewcombinoionw二nx十阡十仁识eullednonctrinpnli
andnlyifatlesstoueeftheeneliieatsieuoL0
4关00r8永r二0
T