Algebraic Computing in General Relativity: Lecture Notes from the First Brazilian School on Computer Algebra Volume 2 Oxford Science Publications

Author	M. A. H. MacCallum,J. E. Skea,R. G. McLenaghan,J. D. McCrea
ISBN	9780198536468
Publisher	Oxford University Press, Usa
Manufacturer	Oxford University Press, Usa

This book provides a step-by-step approach to the facilities available in MAPLE, REDUCE, and SHEEP--three innovative computer algebra systems--for performing calculations relevant to general relativity theory research. Beginning with MAPLE and REDUCE, two widespread great-purpose systems, the authors describe how currently available packages perform tetrad, coordinate system, and Poincare gauge theory calculations. A section on SHEEP and Stensor offers expert guidance on how they can be used to tackle a wide range of calculations in general relativity, including the manipulation of indicial formulae.

This book provides a step-by-step approach to the facilities available in MAPLE, REDUCE, and SHEEP--three innovative computer algebra systems--for performing calculations relevant to general relativity theory research. Beginning with MAPLE and REDUCE, two widespread great-purpose systems, the authors describe how currently available packages perform tetrad, coordinate system, and Poincare gauge theory calculations. A section on SHEEP and Stensor offers expert guidance on how they can be used to tackle a wide range of calculations in general relativity, including the manipulation of indicial formulae. With Algebraic Computing in General Relativity in hand, students and researchers in mathematical physics and general relativity theory have an indispensable practical overview of the subject.