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A paperback edition of a classic text for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.

This is the first fully comprehensive introduction to REDUCE - one of the most widely available and easy to use computing algebra packages around. Based on extensive teaching experience, it provides full coverage of REDUCE, from setting up to using user-contributed REDUCE packages written for specific applications. This will enable users to gain familiarity with the full range of REDUCE commands whilst simultaneously learning of the internal workings of REDUCE. Numerous exercises are provided throughout to illustrate themes covered in the text as well as to encourage `hands on' working with...

Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them...