The Encyclopedia of Integer Sequences 1st Edition by N. J.A. Sloane (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “In spite of the large number of published mathematical tables, until the appearance of the first authors A Handbook of Integer Sequences in 1974 there was no table of sequences of integers. The 1974 book remedied this situation to a certain extent, and the present work is a greatly expanded version of that book. The main table contains 5488 sequences of integers (compared with 2372 in the first book), collected from all branches of mathematics and science. The sequences arearranged in numerical order, and for each one a brief description and a reference is given. An invaluable tool. I shall say no more about this marvelous reference except that every recreational mathematician should buy a copy forthwith.” –MARTIN GARDNER in Scientific American”There are twice as many sequences as there were in Sloane’s Handbook and those who have the Handbook will want The Encyclopedia….Many people who have searched in vain for some of the sequences missing from the Handbook will be quick to get copies of this new and expanded version to track down these missing sequences.” –RICHARD K. GUY, University of Calgary”What’s the next whole number in this sequence: 2, 4, 7, 11, 16, 22, 29? The answer can be found in one of more than 5,000 entries in The Encyclopedia of Integer Sequences.” –SCIENCE NEWS”The number of sequences cataloged here is more than double the tally of the previous incarnation….If libraries shelve this book in the reference section, they should consider aquiring a second copy for circulation. The book will likely be in high demand, not just by researchers, but by browsers at all levels who will especially appreciate the entertaining commentaries interspersed every few pages throughout the encyclopedia. Highly recommended for all academic libraries.” –CHOICE”Incomparable, eccentric, yet very useful. Contains thousands of ‘well-defined and interesting’ infinite integer sequences together with references for each. Sequences are arranged lexicographically and (to minimize errors) typeset from computer tape. If you ever wondered what comes after 1,2,4,8,18,71…this is the place to look it up.” –American Mathematical Monthly From the Back Cover The Encyclopedia of Integer Sequences contains more than 5000 integer sequences, arranged for easy reference, with more than half never before catalogued. In addition to having more than double the material of Sloane’s A Handbook of Integer Sequences (Academic Press, 1973), this encyclopedia gives the name, mathematical description, and citations to the literature for each sequence. It includes essays on origins, uses, and connections, with interesting diagrams or illustrations. More than a table, this is an introduction to the field, showing readers how to identify and work with sequences. It includes an extensive bibliography of current and classic references. An index to all the sequences in the book is also available separately in Macintosh and IBM formats.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A classic, this version fell a bit short in its commentary on knots, crediting J. H. Conway for work completed by A. Caudron, The book is for collectors only, since current updates are available on the author’s OEIS website.

⭐This product is not the Encyclopedia of Integer Sequences as it is portrayed here on Amazon; it is instead an almost useless data disk. The integer sequences are there all right, in lexicograhic order; but they are completely unidentified (except for a code number keyed to the book)! In other words, without the book this very expensive diskette is useless.Basically I consider this to be false advertising. Do not buy it unless you already have the book and want a machine-readable, searchable copy of the sequences.

⭐Since combinatorics is my major, this book fulfills my dream. It contains over 5000 sequences, from famous Fibonacci to notorious 1,3,6,11,17,25,… (Perfect ruler,general term still unknown ), to nonsense 1,11,21,1211,111221,..(every term describe the former term). Nearly every important integer sequence in mathematics get a line here, with references. This is a dream book for combinatorics specialists, a must for high-school teachers while doing some short essays with gifted students, a fun book for mathematics fans, especially those like mathematical games.

⭐Excellent expositions of certain number sequences

⭐I often read books like this for fun, and had just gone through

⭐. I have to say I was somewhat disappointed with that book, since each line in the book seemed to have little to do with the next line, which was kind of jarring. Maybe this is what post-modern writing is like but it felt like you could read the lines in the “A Million Random Digits” book in any order and it wouldn’t even make a difference.However, this book was different. Each line in a section flowed predictably from the next line. In fact, I often could tell someone what the next line would be in the book without even looking. While this may take away some of the suspense of reading, I still felt it was a very rewarding reading experience. This book has a very logical storyline and development! While the endings of some books feel like they came out of nowhere, in this book, every ending fits perfectly with the entire story until that point. I highly recommend this book!

⭐The Encyclopedia of Integer Sequences is available in three formats. Sellers often incorrectly match the ISBN to the format. It may be helpful to know the ISBN, rather than to rely on the results of a search by Title/Author.Hardcover Book: ISBN 0125586302Macintosh Disk: ISBN 0125586310MSDOS/IBM Disk: ISBN 0125586329Also, use the price as a clue to which item you will be receiving – the book sells for $70+, the disk for under $20.

⭐I enjoyed studying and looking at the integer sequences which are not truely random. This book is mainly suitable for maths graduates but it is comprehensible to non mathematicians alike.

⭐Just what I wanted

⭐Yet to study from it, but it is right up to my expectations. I will need some time to go to the subject matter.

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