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Lattice Theory
 
Lattice Theory
Softcover ISBN:  978-0-8218-1025-5
Product Code:  COLL/25
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3173-0
Product Code:  COLL/25.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1025-5
eBook: ISBN:  978-1-4704-3173-0
Product Code:  COLL/25.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
Lattice Theory
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Lattice Theory
Softcover ISBN:  978-0-8218-1025-5
Product Code:  COLL/25
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3173-0
Product Code:  COLL/25.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1025-5
eBook ISBN:  978-1-4704-3173-0
Product Code:  COLL/25.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
  • Book Details
     
     
    Colloquium Publications
    Volume: 251940; 420 pp
    MSC: Primary 06

    The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications.

    The 1996 reprint includes expanded and updated Additional References.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Types of lattices
    • Chapter 2. Postulates for lattices
    • Chapter 3. Structure and representation theory
    • Chapter 4. Geometric lattices
    • Chapter 5. Complete lattices
    • Chapter 6. Universal algebra
    • Chapter 7. Applications to algebra
    • Chapter 8. Transfinite induction
    • Chapter 9. Applications to general topology
    • Chapter 10. Metric and topological lattices
    • Chapter 11. Borel algebras and von Neumann lattices
    • Chapter 12. Applications to logic and probability
    • Chapter 13. Lattice-ordered groups
    • Chapter 14. Lattice-ordered monoids
    • Chapter 15. Vector lattices
    • Chapter 16. Positive linear operators
    • Chapter 17. Lattice-ordered rings
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 251940; 420 pp
MSC: Primary 06

The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications.

The 1996 reprint includes expanded and updated Additional References.

  • Chapters
  • Chapter 1. Types of lattices
  • Chapter 2. Postulates for lattices
  • Chapter 3. Structure and representation theory
  • Chapter 4. Geometric lattices
  • Chapter 5. Complete lattices
  • Chapter 6. Universal algebra
  • Chapter 7. Applications to algebra
  • Chapter 8. Transfinite induction
  • Chapter 9. Applications to general topology
  • Chapter 10. Metric and topological lattices
  • Chapter 11. Borel algebras and von Neumann lattices
  • Chapter 12. Applications to logic and probability
  • Chapter 13. Lattice-ordered groups
  • Chapter 14. Lattice-ordered monoids
  • Chapter 15. Vector lattices
  • Chapter 16. Positive linear operators
  • Chapter 17. Lattice-ordered rings
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.