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Sl.No Chapter Name English
1Level curves and locus, definition of parametric curves, tangent, arc length, arc length parametrisationDownload
To be verified
2How much a curve is ‘curved’, signed unit normal and signed curvature, rigid motions, constant curvatureDownload
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3Curves in R^3, principal normal and binormal, torsionDownload
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4Frenet-Serret formulaDownload
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5Simple closed curve and isoperimetric inequalityDownload
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6Surfaces and parametric surfaces, examples, regular surface and non-example of regular surface, transition maps.Download
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7Transition maps of smooth surfaces, smooth function between surfaces, diffeomorphismDownload
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8ReparameterizationDownload
To be verified
9Tangent, NormalDownload
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10Orientable surfacesDownload
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11Examples of SurfacesDownload
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12First Fundamental FormDownload
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13Conformal MappingDownload
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14Curvature of SurfacesDownload
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15Euler's TheoremDownload
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16Regular Surfaces locally as Quadratic SurfacesDownload
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17GeodesicsDownload
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18Existence of Geodesics, Geodesics on Surfaces of revolutionDownload
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19Geodesics on surfaces of revolution; Clairaut's TheoremDownload
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20PseudosphereDownload
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21Classification of Quadratic SurfaceDownload
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22Surface Area and Equiareal MapDownload
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1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available