微分几何中的初等论题（英文版）

图书标准信息

• 作者 [美]索普（Thorpe,J.A.） 著
• 出版社 世界图书出版公司
• 出版时间 2013-03
• 版次 1
• ISBN 9787510058363
• 定价 49.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 253页
• 正文语种 英语

【内容简介】

　　Inthepastdecadetherehasbeenasignificantchangeinthefreshman/sophomoremathematicscurriculumastaughtatmany，ifnotmost，ofourcolleges.Thishasbeenbroughtaboutbytheintroductionoflinearalgebraintothecurriculumatthesophomorelevel.Theadvanta8;esofusinglinearalgebrabothintheteachingofdifferentialequationsandintheteachingofmultivariatecalculusarebynowwidelyrecognized.Severaltextbooksadoptingthispointofviewarenowavailableandhavebeenwidelyadopted.Studentscompletingthesophomoreyearnowhaveafairpreliminaryunderstandingofspacesofmanydimensions.

【目录】

Chapter1
GraphsandLevelSets
Chapter2
VectorFields
Chapter3
TheTangentSpace
Chapter4
Surfaces
Chapter5
VectorFieldsonSurfaces;Orientation
Chapter6
TheGaussMap
Chapter7
Geodesics
Chapter8
ParallelTransport
Chapter9
TheWeingartenMap
Chapter10
CurvatureofPlaneCurves
Chapter11
ArcLengthandLineIntegrals
Chapter12
CurvatureofSurfaces
Chapter13
ConvexSurfaces
Chapter14
ParametrizedSurfaces
Chapter15
LocalEquivalenceofSurfacesandParametrizedSurfaces
Chapter16
FocalPoints
Chapter17
SurfaceAreaandVolume
Chapter18
MinimalSurfaces
Chapter19
TheExponentialMap
Chapter20
SurfaceswithBoundary
Chapter21
TheGauss-BonnetTheorem
Chapter22
RigidMotionsandCongruence
Chapter23
Isometries
Chapter24
RiemannianMetrics
Bibliography
NotationalIndex
SubjectIndex