Course Contents
Differentiation of vector functions, Directional derivatives, Gradient, divergence and curl of a point function. Expansion formulas, curvilinear coordinates. Orthogonal curvilinear. Arc length ,volume element ,Gradient ,divergence and curl in term of curvilinear coodinate. Line, surface and volume integrals, Gauss’s divergence theorem, Green’s theorem and Stokes’s theorem. With examples. Coordinate transformations and their equations, Algebra of Cartesian tensors, Tensors of different ranks, inner and outer products, contraction, contraction theorem, Quotient theorem, Kronecker tensor, Levi-civita tensor. Applications to vector analysis, Differential of Cartesian tensors. Christofell symbols. Contravariant, covariant and mixed tensor. The line element and metric tensor.
Course Learning Outcomes
This course is designed to enable the students to understand and use the techniques and basic Principles of vector analysis , use of indices , transformation equations for basis vectors, components ,coordinates. Curvilinear coordinate, important theorems’ on line and surface integrals. which are used in mechanics.
gradient, divergence
View Now
curl
View Now
gradient, divergence
View Now
line surface
View Now
line surface
View Now
volume integral
View Now
volume integral
View Now
volume integral
View Now
surface integral
View Now
stokes theorem
View Now
divergence theorem
View Now
divergence theorem
View Now
Book Title : Vector Analysis and Cartesian Tensor
Author : D.E Bourne and P.C.Kendull
Edition : 2nd
Publisher : stanley thornes
Book Title : Vector & Tensor Analysis for Scientists and Engineers
Author : Dr Nawazish Ali Shah
Edition : third
Publisher : A-one
Book Title : An Introduction to Vector Analysis with Application to Geometry and Mechanics
Author : K.L. Mir
Edition :
Publisher : Ilmi Kitab Khana
Book Title : Vector and Tensor Analysis for Scientist and Engineers
Author : N. A. Shah
Edition :
Publisher : 3rd Edition, A-ONE Publishers, Lahore
Book Title : Vector and Tensor Methods
Author : F. Chorlton
Edition :
Publisher : Ellis Horwood Publisher, Chichester
No Information Yet