Book:Gunther Schmidt/Relational Mathematics

Subject Matter

 * Relation Theory

Contents

 * 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: 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: 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: Notation
 * Appendix B: Proofs postponed from Part II
 * Appendix C: Algebraic visualization
 * Appendix D: Historical annotations


 * References


 * Symbols


 * Index