Relational Mathematics

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.