Tensor Calculus and Riemannian Geometry PDF Download

Author: D. C. Agarwal
Publisher: Krishna Prakashan Media
ISBN:
Category :
Languages : en
Pages : 256

View

Book Description

Author: Charles Ernest Weatherburn
Publisher: CUP Archive
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 214

View

Book Description

Author: Luther Pfahler Eisenhart
Publisher: Princeton University Press
ISBN: 1400877865
Category : Mathematics
Languages : en
Pages : 315

View

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.

Author: K.K. Dube
Publisher: I. K. International Pvt Ltd
ISBN: 9380026587
Category : Mathematics
Languages : en
Pages : 377

View

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.

Author: Nail H. Ibragimov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110379503
Category : Mathematics
Languages : en
Pages : 197

View

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.

Author: Charles Ernest Weatherburn
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

View

Book Description

Author: Charles E. Weatherburn
Publisher:
ISBN:
Category :
Languages : en
Pages : 191

View

Book Description

Author: Bernhard Riemann
Publisher: Birkhäuser
ISBN: 3319260421
Category : Mathematics
Languages : en
Pages : 172

View

Book Description
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

Author: J. L. Synge
Publisher: Courier Corporation
ISBN: 048614139X
Category : Mathematics
Languages : en
Pages : 336

View

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.

Author: Detlef Laugwitz
Publisher: Academic Press
ISBN: 1483263983
Category : Mathematics
Languages : en
Pages : 251

View

Book Description
Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.