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003 0001
008 990408s1999 ne# b i 001 0 eng
020 _a0792357868 (alk. paper)
035 _9(DLC) 99015356
040 _aDLC
_cDLC
_dDLC
082 0 0 _a512.4
_221
084 _a512.4
_bGOL-S
100 1 _aGolan, Jonathan S.
245 1 0 _aSemirings and their applications /
_h[Book] /
_cby Jonathan S. Golan.
260 _aBoston :
_aBoston :
_bKluwer Academic Publishers,
_cc1999.
300 _axi, 381 pages :
_c25 cm.
365 _a01
_b0.00
520 _aThere is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision of the book was in order. Therefore, though the structure of the first ±dition was preserved, the text was extensively rewritten and substantially expanded. In particular, references to many interesting and applications of semiring theory, developed in the past few years, had to be added. Unfortunately, I find that it is best not to go into these applications in detail, for that would entail long digressions into various domains of pure and applied mathematics which would only detract from the unity of the volume and increase its length considerably. However, I have tried to provide an extensive collection of examples to arouse the reader's interest in applications, as well as sufficient citations to allow the interested reader to locate them. For the reader's convenience, an index to these citations is given at the end of the book .
521 _aAll.
650 0 _aSemirings (Mathematics).
650 0 _aLogic, Symbolic and mathematical
650 0 _aMathematics
_zMathematical optimization
650 0 _aAlgebra
_zComputational complexity
852 _p57163
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