Algebraic Computing in General Relativity: Lecture Notes from the First Brazilian School on Computer Algebra Vol. 2
Author:   M. A. H. MacCallum ,  J. E. F. Skea (both at, both at, Queen Mary and Westfield College, London) ,  R. G. McLenaghan (, University of Waterloo, Canada, and the late) ,  Julian Dermott McCrea (, University College, Dublin)
Publisher:   Oxford University Press
ISBN:  

9780198536468


Pages:   396
Publication Date:   24 November 1994
Format:   Hardback
Availability:   To order   Availability explained
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Algebraic Computing in General Relativity: Lecture Notes from the First Brazilian School on Computer Algebra Vol. 2


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Overview

Based on lectures given at a summer school on computer algebra, the book provides a didactic description of the facilities available in three computor algebra systems - MAPLE, REDUCE and SHEEP - for performing calculations in the algebra-intensive field of general relativity. With MAPLE and REDUCE, two widespread great-purpose systems, the reader is shown how to use currently available packages to perform calculations with respect to tetrads, co-ordinate systems, and Poincare` gauge theory. The section on SHEEP and Stensor, being the first published book on these systems, explains how to use these systems to tackle a wide range of calculations with respect to tackle a wide range of calculations in general relativity, including the manipulation of indicial formulae. For the researcher in general relativity, the book therefore promises a wide overview of the facilities available in computer algebra to lessen the burden of the lengthy, error-prone calculations involved in their research.

Full Product Details

Author:   M. A. H. MacCallum ,  J. E. F. Skea (both at, both at, Queen Mary and Westfield College, London) ,  R. G. McLenaghan (, University of Waterloo, Canada, and the late) ,  Julian Dermott McCrea (, University College, Dublin)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 1.10cm , Height: 1.10cm , Length: 1.10cm
Weight:   0.001kg
ISBN:  

9780198536468


ISBN 10:   0198536461
Pages:   396
Publication Date:   24 November 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

SHEEP: A computer algebra system for general relativity: An overview of SHEEP; Using SHEEP and CLASSI; Using CLASSI to classify metrics; The internals of SHEEP; Packages for special occasions; STENSOR; REDUCE: in general relativity and Poincare gauge theory: Geometrical preliminaries; Calculations on coordinate bases; Anholonomic frames; The exterior calculus package EXCALC; The Poincare gauge theory; MAPLE: applications to general relativity: Introduction; Computation of the connection and the curvature; The Petrov classification of the Weyl tensor; Computer algebra aided integration of field equations with the NP package; Bibliography; Index.

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