Anadi Jiban Das

Tensors

The Mathematics of Relativity Theory and Continuum Mechanics

• Gebundenes Buch

Produktbeschreibung

Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.

Produktdetails

• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 11919551, 978-0-387-69468-9
• 2007 edition
• Seitenzahl: 290
• Erscheinungstermin: 27. September 2007
• Englisch
• Abmessung: 246mm x 165mm x 27mm
• Gewicht: 568g
• ISBN-13: 9780387694689
• ISBN-10: 0387694684
• Artikelnr.: 22506191

Autorenporträt

Anadi Das is a Professor Emeritus at Simon Fraser University, British Columbia, Canada.  He earned his Ph.D. in Mathematics and Physics from the National University of Ireland and his D.Sc. from Calcutta University.  He has published numerous papers in publications such as the Journal of Mathematical Physics and Foundation of Physics.  His book entitled The Special Theory of Relativity: A Mathematical Exposition was published by Springer in 1993.

Inhaltsangabe

Finite-Dimensional Vector Spaces and Linear Mappings.- Tensor Algebra.- Tensor Analysis on a Differentiable Manifold.- Differentiable Manifolds with Connections.- Riemannian and Pseudo-Riemannian Manifolds.- Special Riemannian and Pseudo-Riemannian Manifolds.- Hypersurfaces, Submanifolds, and Extrinsic Curvature.

Rezensionen

From the reviews: "This book is a very nice introduction to the theory of tensor analysis on differentiable manifolds. It is intended mainly for students, but it can also be useful to everyone interested in the tensor analysis on differentiable manifolds and its application to the relativity theory and continuum mechanics." (Cezar Dumitru Oniciuc, Zentralblatt MATH, Vol. 1138 (16), 2008)