Tensor Analysis and Its Applications

This book is intended to serve as a textbook for undergraduate and postgraduate students of mathematics. It will be useful to the researchers working in the field of differential geometry and its applications to general theory of relativity and other applied areas. It will also be helpful in preparing for the competitive examinations like Ias, Ies, Net, Pcs, and other higher education tests. The text starts with the basic concepts and results, which shall refer throughout this book and is followed by the study of the tensor algebra and its calculus, consisting the notion of tensor, its operations, and its different types; Christoffel's symbols and its properties, the concept of covariant differentiation of tensors and its properties, tensor form of gradient, divergence, laplacian and curl, divergence of a tensor, intrinsic derivatives, and parallel displacement of vectors, Riemann's symbols and its properties, and application of tensor in different areas.

Dr. Quddus Khan, PhD, is a senior assistant professor in the Department of Maths., Shibli National P. G. College, Azamgarh (UP), India. He has been teaching undergraduate and postgraduate classes for the last sixteen years. Dr. Khan has to his credit sixteen research papers published in various national and international journals and has coauthored three books, authored three books, and produced two PhDs.