Skip to content
Register Sign in Wishlist

Finite Ordered Sets
Concepts, Results and Uses


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: January 2012
  • availability: Available
  • format: Hardback
  • isbn: 9781107013698

£ 78.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.

    • The first book to focus exclusively on finite ordered sets
    • Unique in giving equal attention to the combinatorial, logical and applied aspects of partially ordered sets
    • Discusses applications in various fields
    • Contains over 100 exercises
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: January 2012
    • format: Hardback
    • isbn: 9781107013698
    • length: 350 pages
    • dimensions: 240 x 165 x 21 mm
    • weight: 0.65kg
    • contains: 65 b/w illus. 15 tables 120 exercises
    • availability: Available
  • Table of Contents

    1. Concepts and examples
    2. Particular classes of ordered sets
    3. Morphisms of ordered sets
    4. Chains and antichains
    5. Ordered sets and distributive lattices
    6. Order codings and dimensions
    7. Some uses
    A. About algorithmic complexity
    B. The 58 non-isomorphic connected ordered sets with at most 5 elements
    C. The numbers of ordered sets and of non-isomorphic ordered sets
    D. Documentation marks
    List of symbols

  • Authors

    Nathalie Caspard, Université Paris-Est Créteil (UPEC)
    Nathalie Caspard is an Assistant Professor in the Laboratoire d'Algorithmique, Complexité et Logique (LACL) at Université Paris Est.

    Bruno Leclerc, Ecole des Hautes Etudes en Sciences Sociales, Paris
    Bruno Leclerc is an Honorary Member of the Centre d'Analyse et de Mathématique Sociales of the École des Hautes Études en Sciences Sociales (School of High Studies in Social Sciences) in Paris, and of the CNRS.

    Bernard Monjardet, Université de Paris I
    Bernard Monjardet is Emeritus Professor at the Université Paris 1 Panthéon-Sorbonne.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.