skip to content
Differential geometry of curves and surfaces in E3 (tensor approach) Preview this item
ClosePreview this item

Differential geometry of curves and surfaces in E3 (tensor approach)

Author: U C De
Publisher: Tunbridge Wells : Anshan, ©2007.
Edition/Format:   Print book : EnglishView all editions and formats

Helps overcome the difficulties in understanding the underlying concepts of the subject. This book introduces the methodology of differential geometry to research students in associated disciplines  Read more...


(not yet rated) 0 with reviews - Be the first.

More like this


Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Additional Physical Format: Online version:
De, U.C. (Uday Chand).
Differential geometry of curves and surfaces in E3 (tensor approach).
Tunbridge Wells : Anshan, ©2007
Document Type: Book
All Authors / Contributors: U C De
ISBN: 9781905740543 1905740549
OCLC Number: 132289306
Description: x, 190 pages ; 23 cm
Contents: 1. CURVILINEAR COORDINATES 1.1Curvilinear Coordinate System in E3 1.2 Elementary Arc Length 1.3 Length of a Vector 1.4 Angle betweenTwo Non-null Vectors 1.5 Reciprocal Base System 1.6 On the Meaning of Covariant Derivatives 1.7 Intrinsic Differentiation 1.8 Parallel Vector Fields 2. GEOMETRY OF SPACE CURVES 2.1 Serret-Frenet Formulae 2.2 Equation of a Straight Line in Curvilinear Coordinate system 2.3 Some Results on Curvature and Torsion. How to Find out Curvature and Torsion of Space Curves 2.4 Helix 3. INTRINSIC GEOMETRY OF A SURFACE 3.1 Curvilinear Coordinates of a Surface 3.2 The Element of Length and the Metric Tensor 3.3 The First Fundamental Form 3.4 Directions on a Surface. Angle between Two Directions 3.5 Geodesic and its Equations 3.6 Parallelism with respect to a Surface 3.7 Intrinsic and Covariant Differentiation of Surface Tensors 3.8 The Riemann-Christoffel Tensor. The Gaussian Curvature of a Surface 3.9 The Geodesic Curvature of a Curve on a Surface 4. THE FUNDAMENTAL FORMULAE OF A SURFACE 4.1 The Tangent Vector to a Surface 4.2 The Normal Vector to a Surface 4.3 The Tensor Derivation of Tensors 4.4 Gauss's Formulae: The second Fundamental Form of a Surface 4.5 Weingarten's Formulae: The Third Fundamental Form of a Surface 4.5 The Equations of Gauss and Codazzi 5. CURVES ON A SURFACE 5.1 The Equations of a Curve on a Surface 5.2 Meusnier's Theorem 5.3 The principal curvatures 5.4 The Lines of Curvature 5.5 The Asymptotic Lines. Enneper's Formula 5.6 The Geodesic Torsion of a Curve on a Surface
Responsibility: Uday Chand De.
More information:


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data

Primary Entity

<> # Differential geometry of curves and surfaces in E3 (tensor approach)
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "132289306" ;
   library:placeOfPublication <> ; # Tunbridge Wells
   library:placeOfPublication <> ;
   schema:about <> ; # Curves on surfaces
   schema:about <> ; # Tensor algebra
   schema:about <> ; # Geometry, Differential
   schema:about <> ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "2007" ;
   schema:creator <> ; # Uday Chand De
   schema:datePublished "2007" ;
   schema:exampleOfWork <> ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <> ;
   schema:name "Differential geometry of curves and surfaces in E3 (tensor approach)"@en ;
   schema:productID "132289306" ;
   schema:publication <> ;
   schema:publisher <> ; # Anshan
   schema:workExample <> ;
   umbel:isLike <> ;
   wdrs:describedby <> ;

Related Entities

<> # Uday Chand De
    a schema:Person ;
   schema:familyName "De" ;
   schema:givenName "Uday Chand" ;
   schema:givenName "U. C." ;
   schema:name "Uday Chand De" ;

<> # Tensor algebra
    a schema:Intangible ;
   schema:name "Tensor algebra"@en ;

<> # Curves on surfaces
    a schema:Intangible ;
   schema:name "Curves on surfaces"@en ;

<> # Geometry, Differential
    a schema:Intangible ;
   schema:name "Geometry, Differential"@en ;

    a schema:ProductModel ;
   schema:isbn "1905740549" ;
   schema:isbn "9781905740543" ;

    a schema:CreativeWork ;
   rdfs:label "Differential geometry of curves and surfaces in E3 (tensor approach)." ;
   schema:description "Online version:" ;
   schema:isSimilarTo <> ; # Differential geometry of curves and surfaces in E3 (tensor approach)

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.