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    Natural Dualities for the Working Algebraist (Cambridge Studies in Advanced Mathematics (Hardcover)) (Hardback) By (author) David M. Clark, By (author) B. A. Davey

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    DescriptionThe theory of natural dualities, as presented in this text, is broad enough to encompass many known dualities through a rich assortment of substantive theorems, yet concrete enough to be used to generate an array of previously undiscovered dualities. This text will serve as a user manual for algebraists, for category theorists and for those who use algebra in their work, particularly mathematicians and computer scientists interested in non-classical logics. It will also give the specialist a complete account of the foundations, leading to the research frontier of this rapidly developing field. As the first text devoted to the theory of Natural Dualities, it provides an efficient path through a large body of results, examples and applications in this subject which is otherwise available only in scattered research papers. To enable the book to be used in courses, each chapter ends with an extensive exercise set. Several fundamental unsolved problems are included.


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  • Full bibliographic data for Natural Dualities for the Working Algebraist

    Title
    Natural Dualities for the Working Algebraist
    Authors and contributors
    By (author) David M. Clark, By (author) B. A. Davey
    Physical properties
    Format: Hardback
    Number of pages: 370
    Width: 156 mm
    Height: 235 mm
    Thickness: 24 mm
    Weight: 606 g
    Language
    English
    ISBN
    ISBN 13: 9780521454155
    ISBN 10: 0521454158
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Modifier: Region of Publication: 03
    B&T General Subject: 710
    B&T Modifier: Continuations: 02
    Warengruppen-Systematik des deutschen Buchhandels: 16200
    B&T Modifier: Academic Level: 02
    Ingram Subject Code: MA
    Libri: I-MA
    B&T Modifier: Text Format: 06
    BIC subject category V2: PBF
    B&T Approval Code: A51350000
    BIC subject category V2: PBC, PBKF
    BISAC V2.8: MAT002000
    B&T Merchandise Category: UP
    DC21: 515.782
    DC22: 515.782
    LC subject heading:
    DC22: 515/.782
    B&T Approval Code: A51490000
    LC classification: QA155.5 .C56 1998
    LC subject heading: ,
    Thema V1.0: PBKF, PBC
    Illustrations note
    15 b/w illus.
    Publisher
    CAMBRIDGE UNIVERSITY PRESS
    Imprint name
    CAMBRIDGE UNIVERSITY PRESS
    Publication date
    01 December 1998
    Publication City/Country
    Cambridge
    Review quote
    'One of the aims of the theory of natural dualities is to provide a systematic framework for making algebraic abstractions concrete. This book, written for those working in algebra, whether in the classical vein or with an eye towards applications to other parts of mathematics and to computer science, is the first thorough exposition of duality theory. Here you will find a clear, engaging, and accessible account of all its fundamental methods and key examples, as well as detailed and well-motivated discussions of intriguing and significant open problems. This well written book will be a valuable resource for algebraists, and an invaluable resource for those determined to advance the current flowering of duality theory itself.' George McNulty, University of South Carolina 'The best is self-contained and well written ... contains a wealth of materials ...' Zentralblatt '... it is written in a readable clear style and can be recommended to researchers and to students of advanced courses.' European Mathematical Society
    Table of contents
    1. Dual adjunctions and where to find them; 2. Natural dualities; 3. Strong dualities; 4. Examples of strong dualities; 5. Sample applications; 6. What makes a duality useful? 7. Piggyback dualities; 8. Optimal dualities and entailment; 9. Completeness theorems for entailment; 10. Dualisable algebras; Appendix A. Algebras; Appendix B. Boolean spaces; Bibliography; Notation index; Index.