Introduction to Lattices and Order (Paperback)

B.A. Davey

ISBN 10: 0521784514 / ISBN 13: 9780521784511

Editore: Cambridge University Press, Cambridge, 2002

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Paperback. 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. Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinforce the ideas of homomorphisms and of ideals encountered in group theory and ring theory. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text. For the new edition, much has been rewritten or expanded and new exercises have been added. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9780521784511

Dati bibliografici

• Titolo: Introduction to Lattices and Order (Paperback)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0521784514
• ISBN 13: 9780521784511
• Rilegatura: Paperback
• Edizione: seconda edizione
• Condizione: new

Descrizione articolo

Riassunto

The explosive development of theoretical computer science in recent years has influenced this new edition: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added.

Recensione

'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 für 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