Tensor Calculus And Riemannian Geometry
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Tensor Calculus And Riemannian Geometry
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Author : D. C. Agarwal
language : en
Publisher: Krishna Prakashan Media
Release Date : 2013
Tensor Calculus And Riemannian Geometry written by D. C. Agarwal and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles Ernest Weatherburn
language : en
Publisher: CUP Archive
Release Date : 1938
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles Ernest Weatherburn and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Calculus of tensors categories.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles Ernest Weatherburn
language : en
Publisher:
Release Date : 1938
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles Ernest Weatherburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with categories.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles E. Weatherburn
language : en
Publisher:
Release Date : 1963
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles E. Weatherburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Textbook Of Tensor Calculus And Differential Geometry And Their Applications
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Author : Quddus Khan
language : en
Publisher: Misha Books
Release Date : 2020-12-29
Textbook Of Tensor Calculus And Differential Geometry And Their Applications written by Quddus Khan and has been published by Misha Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Mathematics categories.
This book is intended to serve as a Textbook for Undergraduate and Post - graduate students of Mathematics. It will be useful to the researchers working in the field of Differential geometry and its applications to general theory of relativity and other applied areas. It will also be helpful in preparing for the competitive examinations like IAS, IES, NET, PCS, and UP Higher Education exams. The text starts with a chapter on Preliminaries discussing basic concepts and results which would be taken for general later in the subsequent chapters of this book. This is followed by the Study of the Tensors Algebra and its operations and types, Christoffel's symbols and its properties, the concept of covariant differentiation and its properties, Riemann's symbols and its properties, and application of tensor in different areas in part – I and the study of the Theory of Curves in Space, Concepts of a Surface and Fundamental forms, Envelopes and Developables, Curvature of Surface and Lines of Curvature, Fundamental Equations of Surface Theory, Theory of Geodesics, Differentiable Manifolds and Riemannian Manifold and Application of Differential Geometry in Part –II. KEY FEATURES: Provides basic Concepts in an easy to understand style; Presentation of the subject in a natural way; Includes a large number of solved examples and illuminating illustrations; Exercise questions at the end of the topic and at the end of each chapter; Proof of the theorems are given in an easy to understand style; Neat and clean figures are given at appropriate places; Notes and remarks are given at appropriate places.
Introduction To Differential Geometry
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Author : Luther Pfahler Eisenhart
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08
Introduction To Differential Geometry written by Luther Pfahler Eisenhart and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.
Book 3 in the Princeton Mathematical Series. Originally published in 1950. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles Ernest Weatherburn
language : en
Publisher:
Release Date : 1942
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles Ernest Weatherburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with categories.
Textbook Of Tensor Calculus And Differential Geometry
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Author : PRASUN KUMAR NAYAK
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2011-12-23
Textbook Of Tensor Calculus And Differential Geometry written by PRASUN KUMAR NAYAK and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-23 with Mathematics categories.
Primarily intended for the undergraduate and postgraduate students of mathematics, this textbook covers both geometry and tensor in a single volume. This book aims to provide a conceptual exposition of the fundamental results in the theory of tensors. It also illustrates the applications of tensors to differential geometry, mechanics and relativity. Organized in ten chapters, it provides the origin and nature of the tensor along with the scope of the tensor calculus. Besides this, it also discusses N-dimensional Riemannian space, characteristic peculiarity of Riemannian space, intrinsic property of surfaces, and properties and transformation of Christoffel’s symbols. Besides the students of mathematics, this book will be equally useful for the postgraduate students of physics. KEY FEATURES : Contains 250 worked out examples Includes more than 350 unsolved problems Gives thorough foundation in Tensors
Concepts From Tensor Analysis And Differential Geometry
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Author : Tracy Y. Thomas
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Concepts From Tensor Analysis And Differential Geometry written by Tracy Y. Thomas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.
Tensor Calculus And Differential Geometry For Engineers
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Author : Shahab Sahraee
language : en
Publisher: Springer Nature
Release Date : 2023-12-12
Tensor Calculus And Differential Geometry For Engineers written by Shahab Sahraee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-12 with Technology & Engineering categories.
The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.