Tensor Calculus and Riemannian Geometry
Author : D. C. Agarwal
Publisher : Krishna Prakashan Media
Page : 256 pages
File Size : 11,87 MB
Release : 2013
Category :
ISBN :
An Introduction to Riemannian Geometry and the Tensor Calculus
Author : Charles Ernest Weatherburn
Publisher : CUP Archive
Page : 214 pages
File Size : 27,80 MB
Release : 1938
Category : Calculus of tensors
ISBN :
Book Description
Introduction to Differential Geometry
Author : Luther Pfahler Eisenhart
Publisher : Princeton University Press
Page : 315 pages
File Size : 11,93 MB
Release : 2015-12-08
Category : Mathematics
ISBN : 1400877865
Book Description
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.
Differential Geometry and Tensors
Author : K.K. Dube
Publisher : I. K. International Pvt Ltd
Page : 377 pages
File Size : 32,16 MB
Release : 2013-12-30
Category : Mathematics
ISBN : 9380026587
Book Description
The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors. Section A deals with: " Theory of curves, envelopes and developables. " Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature. " Fundamental equations of surface theory. " Geodesics. Section B deals with: " Tensor algebra. " Tensor calculus. " Christoffel symbols and their properties. " Riemann symbols and Einstein space, and their properties. " Physical components of contravariant and covariant vectors. " Geodesics and Parallelism of vectors. " Differentiable manifolds, charts, atlases.
Tensors and Riemannian Geometry
Author : Nail H. Ibragimov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 198 pages
File Size : 34,76 MB
Release : 2015-08-31
Category : Mathematics
ISBN : 3110379503
Book Description
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
Tensor Calculus and Differential Geometry for Engineers
Author : Shahab Sahraee
Publisher : Springer Nature
Page : 684 pages
File Size : 42,27 MB
Release : 2023-12-12
Category : Technology & Engineering
ISBN : 3031339533
Book Description
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.
An Introduction to Riemannian geometry and the Tensor calculus
Author : Charles E. Weatherburn
Publisher :
Page : 191 pages
File Size : 28,29 MB
Release : 1963
Category :
ISBN :
Book Description
An Introduction to Riemannian Geometry and the Tensor Calculus
Author : Charles Ernest Weatherburn
Publisher :
Page : 0 pages
File Size : 49,50 MB
Release : 1938
Category :
ISBN :
Book Description
Tensor Calculus
Author : J. L. Synge
Publisher : Courier Corporation
Page : 340 pages
File Size : 27,74 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 048614139X
Book Description
Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
TEXTBOOK OF TENSOR CALCULUS AND DIFFERENTIAL GEOMETRY
Author : PRASUN KUMAR NAYAK
Publisher : PHI Learning Pvt. Ltd.
Page : 551 pages
File Size : 38,42 MB
Release : 2011-12-23
Category : Mathematics
ISBN : 812034507X
Book Description
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
