Tensor Analysis

ISBN-13: 9783659507120 / Angielski / Miękka / 2014 / 140 str.

Singh Yashwant;Mandia Harmendra Kumar

Opis

The present book has involved from the teaching of the course on Tensor Analysis by the post graduate and engineering students of Mathematics and Physics in various Universities of India. It deals with the Kronecker delta, Contravariant and Covariant tensors, Symmetric tensors, Quotient law of tensors, Relative tensor, Riemannian space, Metric tensor, Indicator, Permutation symbols and Permutation tensors. A detailed study of Christoffel symbols and their properties, Covariant differentiation of tensors, Riccis theorem, Intrinsic derivative, Geodesics, Differential equation of geodesic, Geodesic coordinates, Field of parallel vectors, Reimann-Christoffel tensor and its properties, Covariant curvature tensor, Einstein space, Bianchis identity, Einstein tensor, Flate space, Isotropic point and Schurs theorem with some other important theorems and examples from its concluding chapter.

O autorze

Lecturer, Department of Mathematics, Government college, Kaladera, Jaipur, India.He has published many international research paper and books.Harmendra Kumar Mandia, Head, Department of Mathematics, Seth Motilal (P.G.)College Jhunjhunu, Rajasthan, India. He is also life member, editorial board member and reviewer of various international journals.