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This edition brings the reader on par with the flurry of research results generated during the last two decades in the theory and applications of multidimensional systems. The book has an abundance of examples to illustrate advanced concepts and brings out, for the first time, in a text book setting the algorithms for bivariate polynomial matrix factorization results that form the basis of two-dimensional systems theory. The reader is alerted to the reasons for the difficulties in generalization to the higher dimensional case. Algorithms and their implementation using symbolic algebra are emphasized.