Tensor Calculus And Applications: Simplified Tools And Techniques
by Bhaben Chandra Kalita /
2019 / English / PDF
6.3 MB Download
Theoretically, the subject of "Tensor calculus" is critical for students to under understand for the complex nature of uses of subscripts and superscripts. Besides the lack of knowledge about the fields of application, this poses rather more difficulty to learn the concepts. The elegant nature of description of the theory with specific style of changing the suffixes and prefixes and reasons to recover meaningful results of the subsequent fields will inspire the readers for the book. Special techniques are adopted in the book to remove confusion from the minds (as inferred from practical experience) of students/readers for pure knowledge. For absolute understanding of the subject clear indication on where to change the suffix in terms and to what, are given with directions (hints) in respective terms. Moreover, this book distinguishes different classes of tensors pictorial representations are furnished as well. Without identification of non-isotropic media where application of tensors is inevitable, researchers /readers cannot use it in true sense. For this purpose, the Chapter 7 is included for step-by-step evolution of the branch. To amplify the uses of tensors in gravitationally distorted space-time of General Theory of Relativity and in non-isotropic media like viscous fluids and physical bodies with elasticity including Structural Geology, Chapter 7 is developed to infuse real interest in to the minds of readers. Features Provides a clear indication and understanding of the subject on how to change suffixes 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
