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Sprache:
Englisch
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Beschreibung
Combining concepts of mathematics and computer science, this book is about the sequences of symbols that can be generated by simple models of computation called "finite automata." Suitable for graduate students or advanced undergraduates, it starts from elementary principles and develops the basic theory. The study then progresses to show how these ideas can be applied to solve problems in number theory and physics.
Combining concepts of mathematics and computer science, this book is about the sequences of symbols that can be generated by simple models of computation called "finite automata." Suitable for graduate students or advanced undergraduates, it starts from elementary principles and develops the basic theory. The study then progresses to show how these ideas can be applied to solve problems in number theory and physics.
Inhaltsverzeichnis
Preface; 1. Stringology; 2. Number theory and algebra; 3. Numeration systems; 4. Finite automata and other models of computation; 5. Automatic sequences; 6. Uniform morphisms and automatic sequences; 7. Morphic sequences; 8. Frequency of letters; 9. Characteristic words; 10. Subwords; 11. Cobham's theorem; 12. Formal power series; 13. Automatic real numbers; 14. Multidimensional automatic sequences; 15. Automaticity; 16. k-regular sequences; 17. Physics; Appendix. Hints, references and solutions for selected exercises; Bibliography; Index.
Details
Erscheinungsjahr: | 2015 |
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Fachbereich: | Allgemeines |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: | Gebunden |
ISBN-13: | 9780521823326 |
ISBN-10: | 0521823323 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: |
Allouche, Jean-Paul
Shallit, Jeffrey |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 260 x 183 x 36 mm |
Von/Mit: | Jean-Paul Allouche (u. a.) |
Erscheinungsdatum: | 30.10.2015 |
Gewicht: | 1,286 kg |