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Author: Richard Scott Pierce
Publisher: American Mathematical Soc.
ISBN: 0821818309
Category : Algebra, Boolean
Languages : en
Pages : 70
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Book Description
This monograph is devoted to the investigation of metric Boolean spaces that are of finite type. The first part contains uniqueness and existence theorems that reduce the study of the spaces under consideration to an investigation of the corresponding algebras [Fraktur capital]A(X). These algebras are characterized by identities, and they are referred to as topological Boolean algebras. In part two, the decompositions of a space X (of the kind under consideration) into disjoint unions and topological products are considered. These decompositions are related to corresponding algebraic decompositions of [Fraktur capital]A(X). Part three is devoted to the development of a duality theory for topological Boolean algebras.
Author: Richard Scott Pierce
Publisher: American Mathematical Soc.
ISBN: 0821818309
Category : Algebra, Boolean
Languages : en
Pages : 70
Get Book Here
Book Description
This monograph is devoted to the investigation of metric Boolean spaces that are of finite type. The first part contains uniqueness and existence theorems that reduce the study of the spaces under consideration to an investigation of the corresponding algebras [Fraktur capital]A(X). These algebras are characterized by identities, and they are referred to as topological Boolean algebras. In part two, the decompositions of a space X (of the kind under consideration) into disjoint unions and topological products are considered. These decompositions are related to corresponding algebraic decompositions of [Fraktur capital]A(X). Part three is devoted to the development of a duality theory for topological Boolean algebras.
Author: Jonathan S. Golan
Publisher: Springer Science & Business Media
ISBN: 9401593337
Category : Mathematics
Languages : en
Pages : 376
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Book Description
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 .
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
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Book Description
Author: M. Nivat
Publisher: Springer Science & Business Media
ISBN: 9783540156413
Category : Computers
Languages : en
Pages : 228
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematical reviews
Languages : en
Pages : 628
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Book Description
Author: L.D. Faddeev
Publisher: Springer
ISBN: 354038863X
Category : Mathematics
Languages : en
Pages : 398
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Book Description
Author: A. Beck
Publisher: Springer
ISBN: 3540384146
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1862
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Book Description
Author: Asher Kach (M.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 102
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Book Description
Author: Arnaldo Rodriguez-Gonzalez
Publisher: Arnaldo Rodriguez-Gonzalez
ISBN:
Category : Mathematics
Languages : en
Pages : 493
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Book Description
This largely self-contained textbook on qualitative dynamics and chaos is intended for a broad audience of readers who are interested in describing systems that change over time using a mathematically simple, but conceptually rigorous, framework centered around descriptive sequences of symbols. This framework also allows readers who may not have a large amount of mathematical training to develop an unambiguous understanding of the notion of chaos and related aspects of dynamical systems theory. Concepts and techniques are introduced in the first parts of the book, which are later expanded to more mathematically abstract ideas in the latter parts of the book. For those who are already have some mathematical training, this text is intended to be an alternative to standard symbolic dynamics textbooks which both mildly generalizes their scope and specifically centers its discussion around dynamical systems theory aspects. It uses the notion of a "falsifiable system"—a type of set of infinite symbol sequences, which is an extension of both formal languages and symbolic dynamical systems—as a central conceptual link between the theory of formal languages and the study of chaos, and allows readers a method to identify chaos within such systems (and systems equivalent to them) by entirely graphical methods. The latter parts of the book then focus on how to apply these methods to understand the dynamics of more traditional, numerically-based systems.
