Understanding Vector and Tensor Analysis by Nawazish Ali Shah

Introduction: The Holy Grail of Mathematical Physics

: Analysis of symmetric and anti-symmetric tensors, and invariance with respect to rotation of axes Advanced Calculus

The book gives a systematic method:

• Definition and evaluation of line integrals of scalar and vector fields.
• Concepts of work done by a force field along a curve.

Integral Theorems

: Representing Gauss and Stokes theorems in tensor form. Where to Find the Full Text

If you want, I can:

Vectors of Cylinderical and Spherical Coordinate System: 7.2 Summation Convention. Proper and Improper Transformations