Relational Mathematics

Gunther Schmidt

Publisher:

Cambridge University Press

Publication Date:

2010

Number of Pages:

567

Format:

Hardcover

Series:

Encyclopedia of Mathematics and Its Applications 132

Price:

99.00

ISBN:

9780521762687

Category:

Monograph

MAA Review
Table of Contents

We do not plan to review this book.

Preface
1. Introduction
Part I. Representations of Relations: 2. Sets, subsets and elements
3. Relations
Part II. Operations and Constructions: 4. Algebraic operations on relations
5. Order and function: the standard view
6. Relations and vectors
7. Domain construction
Part III. Algebra: 8. Relation algebra
9. Orders and lattices
10. Rectangles, fringes, inverses
11. Concept analysis
Part IV. Applications: 12. Orderings: an advanced view
13. Preference and indifference
14. Aggregating preferences
15. Relational graph theory
16. Standard Galois mechanisms
Part V. Advanced Topics: 17. Mathematical applications
18. Implication structures
19. Power operations
Appendix A. Notations
Appendix B. Postponed proofs of Part II
Appendix C. Algebraic visualization
Appendix D. Historical annotations
Table of symbols
References
Index.