Автор: Jonathan S. Golan Название: Power Algebras over Semirings ISBN: 9048152704 ISBN-13(EAN): 9789048152704 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As such, it tries to find a unified way of dealing with diverse topics in mathematics and theoretical com- puter science as formal language theory, the theory of fuzzy algebraic structures, models of optimal control, and many others. to what extent basic fields of mathematics like algebra and topology are dependent on the underlying set theory?"
Автор: Jonathan S. Golan Название: Semirings and their Applications ISBN: 9048152526 ISBN-13(EAN): 9789048152520 Издательство: Springer Рейтинг: Цена: 14667.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There 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 .
Автор: A. Iarrobino; Anthony Iarrobino; Vassil Kanev; S.L Название: Power Sums, Gorenstein Algebras, and Determinantal Loci ISBN: 3540667660 ISBN-13(EAN): 9783540667667 Издательство: Springer Рейтинг: Цена: 7959.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes.
