160 pages | 9 B/W Illus.
The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject.
In most books, they emphasize only the theoretical development, but not the methods of presentation, to develop concepts. Without knowing how to change the dummy indices, or the real indices, the concept cannot be understood. This book takes it down a notch and simplifies the topic for easy comprehension.
1. Pre-requisites for Tensors. 2. Concept of Tensors. 3. Riemannian Metric and Fundamental Tensors. 4. Christoffel Three Index Symbols (Brackets) and Covariant Differentiation. 5. Properties of Curves in Vn and Geodesics. 6. Riemann Symbols (Curvature Tensors). 7A. Applications of Tensors in General Theory of Relativity. 7B. Tensors in Continuum Mechanics. 7C. Application in Geology. 7D. Tensors in Fluid Dynamics.
This series is intended for mathematicians, engineers, and other scientists in a broad sense, and aims to cover new developments and advances in mathematics, as well as it's applications related to industrial and manufacturing engineering, as well as Human Factors and Ergonomics. A special emphasis is on modelling, engineering, and social sciences. The series will include important classical topics of a pure and applied nature presented in an attractive style that can benefit students, researchers, and practitioners. The series will include research level monographs, edited volumes, papers arising from seminars or lecture series that will make up reference books, that will be edited and cohesive to fit the theme of the series.