Book:Gunther Schmidt/Relational Mathematics

Gunther Schmidt: Relational Mathematics

Published $\text {2010}$, Cambridge University Press

ISBN 0-521-7-62685

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