TENSORS : MATHEMATICS OF DIFFERENTIAL GEOMETRY AND RELATIVITY, By AHSAN, ZAFAR
Price: Rs. 275.00 ISBN: 978‐81‐203‐5088‐5 Pages: 240 Binding: Paper Back Buy Now at www.phindia.com
DESCRIPTION The principal aim of analysis of tensors is to invesgate those relaons which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, diff eren erenal equaons and classical mechanics as pre‐requisites. It provides the readers with all the informa on about the tensors along with the derivaon of all the tensorial relaons/equaons in a simple manner. The book also deals in detail with topics of of importance importance to the study of of special special and general relavity and the geometry of of di diff eren erenable manifolds with a crystal clear exposion. The concepts dealt within the book are well supported by a number of of solved solved examples. A carefully selected set of unsolved problems is also given at the end of each chapter, and the answers and hints for the soluon of these problems are given at the end of the book. The applica ons of tensors to the fields of diff eren erenal geometry, relavity, cosmology and electromagnesm is another aracon of of the the present book. This book is intended to serve as text for postgraduate students of mathemacs, physics and engineering. It is ideally suited for both students and teachers who are engaged in research in General Theory of of Rela Relavity and Diff eren erenal Geometry.
CONTENTS Preface
Chapter 1:
Tensors and Their Algebra
Chapter 2:
Riemannian Space and Metric Tensor
Chapter 3:
Christoff el el Symbols and Covariant Diff eren erenaon
Chapter 4:
The Riemann Curvature Tensor
Chapter 5:
Some Advanced Topics
Chapter 6: Applicaons Answers and and Hints Hints to Exercises Bibliography � Index
ABOUT THE AUTHOR(s)
ZAFAR AHSAN, AHSAN, Ph.D., is a Professor at the Department of Mathemacs, Aligarh Muslim University, Aligarh. He is Editor‐in‐Chief of Journal of Tensor Society of India (2010�2012), Managing Editor of Aligarh Bulle n of of Mathema Mathema cs cs (1998�2012); Editor, Pales an Journal an Journal of of Mathema Mathema cs cs, Editor, Journal of Interpola on on and Approxima on on in Scien fi c Compu ng ng. Member of Editorial Boards of Global Journal of of Advanced Advanced Research on Classical and Modern Geometries, Taif Taif Journal Journal of Mathema cs cs and Sta s cs, cs, Journal of Tensor Society and Journal of Calcu a Mathema cal cal Society; Referee of various journals of of mathema mathemacs and physics. Prof. Ahsan has been a Council Member of of Indian Indian Associaon for
General Relavity and Gravitaon (2002�2006); a Vising Associate of Inter University Centre of Astronomy and Astrophysics (IUCAA), Pune (July 1996�June 2005) and a UGC Vising Professor of Sardar Patel University, Vallabh Vidyanagar (April 2004�May 2005). He is also life member of Indian Associaon for General Relavity and Gravitaon, Calcua Mathemacal Society, Indian Society of Industrial and Applied Mathemacs, Indian Mathemacal Society and Tensor Society of of India. India. Professor Zafar Ahsan has published 96 research papers in naonal and internaonal onal journals journals of of repute repute and has authored three books. His areas of of research research interest include General Relavity, Gravitaon and The Quran and Modern Cosmology.
2015 / 240pp. / 16.0
24.1 cm / ISBN‐978‐81‐203‐5088‐5 / Rs.275.00
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