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This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work. It features all of the key results, many very useful tables, and a large number of research problems. The book will be of interest to those interested in one of the most fascinating areas of discrete mathematics, connected to statistics and coding theory, with applications to computer science and cryptography. It will be useful for anyone who is running experiments, whether in a chemistry lab or a manufacturing plant (trying to make those alloys stronger), or in agricultural or medical research. Sam Hedayat is Professor of Statistics and Senior Scholar in the Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago. Neil J.A. Sloane is with AT&T Bell Labs (now AT&T Labs). John Stufken is Professor Statistics at Iowa State University.
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.
Key Features
* Contains more than 5000 integer sequences
* Gives the name and mathematical description of each
sequence
* Provides citations to literature for each sequence
* Extensively cross-referenced
* Lists a bibliography of more than 25 pages
Orthogonal arrays have played a vital role in improving the quality
of products manufactured throughout the world. This first book on
the subject since its introduction more than fifty years ago serves
as a key resource to this area of designing experiments. Most of
the arrays obtained by the methods in this book are available
electronically. Anyone running experiments - whether in a chemistry
lab or a manufacturing plant, or in agricultural or medical
research - will find this book useful.
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