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The Resource Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
Resource Information
The item Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary

 "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, numbertheoretic results can now be more fully explored, in addition to applications in automata theory, codes and noncommutative 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"Provided by 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 of 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 noncommutative algebra. Much material, for example, Schützenberger's theorem on polynomially bounded rational series, and results on semi simple algebras, appear here for the first time in book form. In sum, this is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap"Provided by publisher
 Language
 eng
 Extent
 xiii, 248 p.
 Contents

 Machine generated contents note: Preface; Part I. Rational Series: 1. Rational series; 2. Minimization; 3. Series and languages; 4. Rational expressions; Part II. Arithmetic: 5. Automatic sequences and algebraic series; 6. Rational series in one variable; 7. Changing the semiring; 8. Positive series in one variable; Part III. Applications: 9. Matrix semigroups and applications; 10. Noncommutative polynomials; 11. Codes and formal series; 12. Semisimple syntactic algebras; Open problems and conjectures; References; Index of notation; Index
 Isbn
 9780521190220
 Label
 Noncommutative rational series with applications
 Title
 Noncommutative rational series with applications
 Statement of responsibility
 Jean Berstel, Christophe Reutenauer
 Language
 eng
 Summary

 "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, numbertheoretic results can now be more fully explored, in addition to applications in automata theory, codes and noncommutative 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"Provided by 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 of 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 noncommutative algebra. Much material, for example, Schützenberger's theorem on polynomially bounded rational series, and results on semi simple algebras, appear here for the first time in book form. In sum, this is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap"Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1941
 http://library.link/vocab/creatorName
 Berstel, Jean
 Index
 index present
 LC call number
 QA267
 LC item number
 .B47 2011
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Reutenauer, Christophe
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 137
 http://library.link/vocab/subjectName

 Machine theory
 Noncommutative algebras
 Machine theory
 Noncommutative algebras
 Label
 Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
 Bibliography note
 Includes bibliographical references and index
 Contents
 Machine generated contents note: Preface; Part I. Rational Series: 1. Rational series; 2. Minimization; 3. Series and languages; 4. Rational expressions; Part II. Arithmetic: 5. Automatic sequences and algebraic series; 6. Rational series in one variable; 7. Changing the semiring; 8. Positive series in one variable; Part III. Applications: 9. Matrix semigroups and applications; 10. Noncommutative polynomials; 11. Codes and formal series; 12. Semisimple syntactic algebras; Open problems and conjectures; References; Index of notation; Index
 Dimensions
 24 cm.
 Extent
 xiii, 248 p.
 Isbn
 9780521190220
 Isbn Type
 (hardback)
 Lccn
 2010030398
 Other physical details
 ill.
 System control number

 (OCoLC)639166314
 (OCoLC)ocn639166314
 Label
 Noncommutative rational series with applications, Jean Berstel, Christophe Reutenauer
 Bibliography note
 Includes bibliographical references and index
 Contents
 Machine generated contents note: Preface; Part I. Rational Series: 1. Rational series; 2. Minimization; 3. Series and languages; 4. Rational expressions; Part II. Arithmetic: 5. Automatic sequences and algebraic series; 6. Rational series in one variable; 7. Changing the semiring; 8. Positive series in one variable; Part III. Applications: 9. Matrix semigroups and applications; 10. Noncommutative polynomials; 11. Codes and formal series; 12. Semisimple syntactic algebras; Open problems and conjectures; References; Index of notation; Index
 Dimensions
 24 cm.
 Extent
 xiii, 248 p.
 Isbn
 9780521190220
 Isbn Type
 (hardback)
 Lccn
 2010030398
 Other physical details
 ill.
 System control number

 (OCoLC)639166314
 (OCoLC)ocn639166314
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