Automata, languages, and machines, Volume 59A (Pure and Applied Mathematics) by Samuel Eilenberg (PDF)

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⭐An all-time classic book, the first part of a two volume series, written by Samuel Eilenbergwho is one of the founding fathers of category theory. The intended readership consists ofpure mathematicians and theoretical computer scientists. This book is indispensable forseveral fields in theoretical computer science that have arisen from automata theory andformal languages, including recent developments in combinatoricson finite and infinite words (see the books by Lothaire, an influential french writers collective).Infinite words are also called infinite sequences or streams, and include the important familyof automatic streams (Allouche and Shallit, Automatic Sequences). The book is also importantfor research in coalgebraic techniques, the area in computer science that is concerned with specificationand manipulation of infinite objects such as streams or trees.The two volumes A and B are out of print. This Part A with 451 pages was published in 1974.This is a marvellous book, written in a clear, precise mathematical style, enjoyable to readand very well structured. My second-hand copy of the book, formerly belonging to an americanuniversity library (St. John Fisher College) was in very good shape.

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