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    Introduction to Lattices and Order (Paperback) By (author) B. A. Davey, By (author) H. A. Priestley

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    DescriptionThis new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.


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  • Full bibliographic data for Introduction to Lattices and Order

    Title
    Introduction to Lattices and Order
    Authors and contributors
    By (author) B. A. Davey, By (author) H. A. Priestley
    Physical properties
    Format: Paperback
    Number of pages: 309
    Width: 152 mm
    Height: 224 mm
    Thickness: 18 mm
    Weight: 499 g
    Language
    English
    ISBN
    ISBN 13: 9780521784511
    ISBN 10: 0521784514
    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 Modifier: Academic Level: 01
    B&T General Subject: 710
    Warengruppen-Systematik des deutschen Buchhandels: 16320
    Ingram Subject Code: MA
    B&T Modifier: Text Format: 06
    BIC subject category V2: UYA, PBV
    BISAC V2.8: MAT002000
    B&T Merchandise Category: UP
    BISAC V2.8: MAT002010
    DC21: 511.324
    BIC subject category V2: PBCH
    BISAC V2.8: MAT018000
    LC subject heading:
    DC22: 511.33
    B&T Approval Code: A51370000
    LC subject heading:
    DC22: 511.3/3
    LC classification: QA171.5 .D38 2002
    Thema V1.0: UYA, PBV, PBCH
    Edition
    2, Revised
    Edition statement
    2nd Revised edition
    Illustrations note
    36 b/w illus. 75 exercises
    Publisher
    CAMBRIDGE UNIVERSITY PRESS
    Imprint name
    CAMBRIDGE UNIVERSITY PRESS
    Publication date
    01 May 2002
    Publication City/Country
    Cambridge
    Review quote
    'Recommended for every academic mathematics collection.' Choice '... an excellent introductory textbook on ordered sets and lattices and it is intended for undergraduate and beginning graduate students in mathematics.' Vaclav Slavic, Zentralblatt fur Mathematik 'I used Introduction to Lattices and Order as the sole textbook in a one semester course. The students enrolled were a heterogeneous group including modestly prepared undergraduates, well trained graduate students, and a few applications-oriented computer science students ... In short, the textbook was a success.' Joel Berman, Australian Mathematical Society Gazette '... a well-written, satisfying, informative, and stimulating account of applications that are of great interest, particularly in computer science and social science ... it will surely become a classic.' Mathematical Reviews 'Altogether, this is a great book. It would be interesting (and educational) to give a course based on it - almost makes me wish I hadn't retired!' Australian Mathematical Society Gazette '... a valuable source to anyone who needs to use ordered structures in any context.' EMS Newsletter 'It can be recommended as a valuable source to anyone who needs to use ordered structures in any context.' European Mathematical Society 'The book is written in a very engaging and fluid style. The understanding of the content is aided tremendously by the very large number of beautiful lattice diagrams ... The book provides a wonderful and accessible introduction to lattice theory, of equal interest to both computer scientists and mathematicians.' Jonathan Cohen, SIGACT News
    Table of contents
    Preface; Preface to the first edition; 1. Ordered sets; 2. Lattices and complete lattices; 3. Formal concept analysis; 4. Modular, distributive and Boolean lattices; 5. Representation theory: the finite case; 6. Congruences; 7. Complete lattices and Galois connections; 8. CPOs and fixpoint theorems; 9. Domains and information systems; 10. Maximality principles; 11. Representation: the general case; Appendix A. A topological toolkit; Appendix B. Further reading; Notation index; Index.