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.
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Professor M. A. H. MacCallum is in the School of Mathematical Sciences, Queen Mary and Westfield College, University of London, London.
Based on a series of lectures given at a summer school on computer algebra, this book presents facilities available in three computer algebra systems - MAPLE, REDUCE, and SHEEP - for performing calculations in the algebra-intensive field of General Relativity. With MAPLE and REDUCE, two widespread general purpose systems, the reader is shown how to use currently available packages to perform calculations with respect to tetrads, coordinate systems, and Poincare gauge theory. The section of SHEEP and STENSOR explains how to use these systems to tackle a wide range of calculations in General Relativity, including the manipulation of indicial formulae. For the researcher in General Relativity, therefore, this book provides a wide overview of the facilities available in computer algebra to lessen the burden of the lengthy, error-prone calculations involved in their research.
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