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.


  • Provides a clear indication and understanding of the subject on how to change indices
  • Describes the original evolution of symbols necessary for tensors
  • Offers a pictorial representation of referential systems required for different kinds of tensors for physical problems
  • Presents the correlation between critical concepts
  • Covers general operations and concepts

part Part I|2 pages

Formalism of Tensor Calculus

chapter 1|10 pages

Prerequisites for Tensors

chapter 2|16 pages

Concept of Tensors

chapter 3|12 pages

Riemannian Metric and Fundamental Tensors

chapter 5|16 pages

Properties of Curves in V n and Geodesics

chapter 6|18 pages

Riemann Symbols (Curvature Tensors)

part Part II|2 pages

Application of Tensors

chapter 8|10 pages

Tensors in Continuum Mechanics

chapter 9|10 pages

Tensors in Geology

chapter 10|5 pages

Tensors in Fluid Dynamics