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Calculus of Tensors and Differential Forms
Authors:   R. K. Sinha

ISBN: 978-81-8487-365-8 
Publication Year:   2014
Pages:   294
Binding:   Paper Back


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 Stokes’ 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. Fubini’s theorem in real analysis, to be used in Stokes’ theorem, has been proved earlier than Stokes’ theorem so that students don’t have to search elsewhere.


Key Features



Table of content

Preface / Part I – Introduction / Affine Tensors / Tensor Calculus on Manifolds / Relative Tensors and Lie Derivatives / Part II – Wedge Product / Differential Forms / Stokes’ Theorem / Bibliography / Index.




Audience
Undergraduate and Postgraduate Students, Teachers and Researchers