The Encyclopedia of Integer Sequences

Erscheinungsjahr 1995
ISBN: 978-0-12-558630-6
Verlag: William Andrew Publishing

Buch, Englisch, 587 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 920 g

This encyclopedia contains more than 5000 integer sequences, over half of which have never before been catalogued. Because the sequences are presented in the most natural form, and arranged for easy reference, this book is easier to use than the authors earlier classic A Handbook of Integer Sequences. The Encyclopedia gives the name, mathematical description, and citations to literature for each sequence. Following sequences of particular interest, thereare essays on their origins, uses, and connections to related sequences (all cross-referenced). A valuable new feature to this text is the inclusion of a number of interesting diagrams and illustrations related to selected sequences.

The initial chapters are both amusing and enlightening. They serve as a delightful introduction to the subject and a short course on how to identify and work with integer sequences. This encyclopedia brings Sloanes ground-breaking Handbook up to date, more than doubling its size, and linking both the old and the new material to an extensive bibliography (over 25 pages long), of current and classic references. An index to all the sequences in the book is also available separately on disk in Macintosh and IBM formats.

Zielgruppe

Audience: Those professionals and researchers in all areas of applied and theoretical science and engineering who need to identify and work with integer sequences, including amateurs and recreational mathematics enthusiasts, and science and mathematics libraries. Of interest to those working in: number theory, combinatronics, graph theory, discrete mathematics, computer science, algebra, geometry, communications, information theory, physics, chemistry, statistics, botany, and zoology.

Autoren/Hrsg.

Sloane, N. J.A.

Plouffe, Simon

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Enzyklopädien, Nachschlagewerke, Wörterbücher
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

Description of the Book: Description of a Typical Entry. Arrangement of a Table. Number of Terms Given. References. What Sequences are Included? The Figures. How to Handle a Strange Sequence: How to See if a Sequence Is in the Table. If the Sequence is Not in the Table. Finding the Next Term. Recurrences and Generating Functions. Analysis of Differences. Other Methods for Hand Analysis. Transformations of Sequences. Methods for Computer Investigation of Sequences. The On-line Versions of the Encyclopedia. The Floppy Disk. Further Topics: Applications. History. Differences from the 1973 Book. Future Plans. Acknowledgments. The Table of Sequences. Bibliography. Index.