Sets, groups, fields, rings, isomorphisms, vector spaces, modules; vectors and tensors in a finite dimensional space, vector and tensor analysis in euclidean space, curves and surfaces in three dimensional euclidean space, eigen value problem and spectral decomposition of second‐order tensors, fourth order‐tensors.

Same as Reference

1. William J. Gilbert, W. Keith Nicholson, Modern Algebra with Applications, John Wiley and Sons, 2004.

2. Mikhail Itskov, Tensor Algebra and Tensor Analysis for Engineers, Springer, 2008.