Book:Gunther Schmidt/Relational Mathematics

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Gunther Schmidt: Relational Mathematics

Published $2010$, Cambridge University Press

ISBN 0-521-7-62685.


Subject Matter


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