E-ISBN: Publication Year: 2014
Binding: Paper Back Dimension: 185mm x 240mm Weight: 472
About the book
CALCULUS OF TENSORS AND DIFFERENTIAL FORMS is an introductory-level textbook. Through this book, students will familiarize themselves with tools they need in order to use for further study on general relativity and research, such as affine tensors, tensor calculus on manifolds, relative tensors, Lie derivatives, wedge products, differential forms, and Stokesí theorem.
The treatment is concrete and in detail, so that abstract concepts do not deter even physics and engineering students. This self contained book requires undergraduate-level calculus of several variables and linear algebra as prerequisite. Fubiniís theorem in real analysis, to be used in Stokesí theorem, has been proved earlier than Stokesí theorem so that students donít have to search elsewhere.
Table of Contents
Preface / Part I Ė Introduction / Affine Tensors / Tensor Calculus on Manifolds / Relative Tensors and Lie Derivatives / Part II Ė Wedge Product / Differential Forms / Stokesí Theorem / Bibliography / Index.
Undergraduate and Postgraduate Students, Teachers and Researchers