Introduction to Lattices and Order
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Product details:
- Edition number 2, Revised
- Publisher Cambridge University Press
- Date of Publication 18 April 2002
- ISBN 9780521784511
- Binding Paperback
- No. of pages312 pages
- Size 229x152x17 mm
- Weight 420 g
- Language English
- Illustrations 36 b/w illus. 75 exercises 0
Categories
Short description:
The second edition of a successful and unique textbook for students in mathematics or theoretical computer science.
MoreLong description:
This 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.
'Recommended for every academic mathematics collection.' Choice
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.
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