Introduction to Tensor Analysis

This is a short introduction to the topic of Tensor Analysis. A tensor is an entity which is represented in any coordinate system by an array of numbers called its components. The components change from coordinate system to coordinate in a systematic way described by rules. The arrays of numbers are not the tensor; they are only the representation of the tensor in a particular coordinate system. The special properties of tensors are important for solving problems in Physics and Geometry.

Bipin Singh Koranga is a Graduate from Kumaun University, Nainital. He has been with the Theoretical Physics Group, IIT Bombay since 2006 and received his Ph.D. in Physics (Neutrino Masses and Mixings) from the Indian Institute of Technology Bombay in 2007. He has been teaching basic courses in Physics and Mathematical Physics at the graduate level for the last 12 years. His research interests include the origin of the universe, Physics beyond the standard model, theoretical nuclear Physics, quantum mechanical neutrino oscillation and some topics related to astronomy. He has published over 42 scientific papers in various international journals. His present research interests include the neutrino mass models and related phenomenology.

Sanjay Kumar Padaliya is presently Head, Department of Mathematics, S.G.R.R. (P.G) College, Dehradun. He received his Ph.D. in Mathematics (Fixed Point Theory) from Kumaun University, Nainital. He has been teaching basic courses in Mathematics at graduate and postgraduate level for the last 20 years. His present research interests include Fixed Point Theory and Fuzzy Analysis. He has published over 25 scientific papers in various international journals of repute and has presented his works at national and international conferences. His latest book, An Introduction to Tensor Analysis is published by River Publishers. Dr. Padaliya is also a life member of Indian Mathematical Society, Ramanujan Mathematical Society and International Academy of Physical Sciences.