Download E-books Noncommutative Rational Series with Applications (Encyclopedia of Mathematics and its Applications) PDF

By Jean Berstel

The algebraic thought of automata was once created through Schützenberger and Chomsky over 50 years in the past and there has considering the fact that been loads of improvement. Classical paintings at the thought to noncommutative energy sequence has been augmented extra lately to parts similar to illustration conception, combinatorial arithmetic and theoretical computing device technology. This booklet provides to an viewers of graduate scholars and researchers a contemporary account of the topic and its purposes. The algebraic process permits the idea to be built in a basic type of broad applicability. for instance, number-theoretic effects can now be extra absolutely explored, as well as purposes in automata concept, codes and non-commutative algebra. a lot fabric, for instance, Schützenberger's theorem on polynomially bounded rational sequence, seems right here for the 1st time in e-book shape. this can be a very good source and reference for all these operating in algebra, theoretical computing device technology and their parts of overlap.

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