Noncommutative Rational Series with Applications
Noncommutative Rational Series with Applications by Jean Berstel, published by Cambridge University Press in 2011, is an illustrated edition comprising 248 pages in English. This book provides a modern account of the algebraic theory of automata, which has evolved significantly since its inception by Schützenberger and Chomsky over 50 years ago. It explores the development of noncommutative power series and its connections to representation theory, combinatorial mathematics, and theoretical computer science.
Readers will find a comprehensive examination of the algebraic approach to noncommutative rational series, highlighting its wide applicability in various mathematical fields. The book delves into number-theoretic results and their implications in automata theory, codes, and non-commutative algebra. Notably, it includes material such as Schützenberger’s theorem on polynomially bounded rational series, presented for the first time in book form. This resource serves as a valuable reference for graduate students and researchers engaged in algebra and theoretical computer science.
Official synopsis Publisher
The algebraic theory of automata was created by Schützenberger and Chomsky over 50 years ago and there has since been a great deal of development. Classical work on the theory to noncommutative power series has been augmented more recently to areas such as representation theory, combinatorial mathematics and theoretical computer science. This book presents to an audience of graduate students and researchers a modern account of the subject and its applications. The algebraic approach allows the theory to be developed in a general form of wide applicability. For example, number-theoretic results can now be more fully explored, in addition to applications in automata theory, codes and non-commutative algebra. Much material, for example, Schützenberger’s theorem on polynomially bounded rational series, appears here for the first time in book form. This is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap.
FAQ
What is “Noncommutative Rational Series with Applications” about?
Who is the author of “Noncommutative Rational Series with Applications”?
When was “Noncommutative Rational Series with Applications” published?
What is the ISBN for “Noncommutative Rational Series with Applications”?
What are the book details (language, pages, edition)?
