Gunther Schmidt: Relational Mathematics

Cover: 9780521762687 | Relational Mathematics | Gunther Schmidt | Buch | Englisch | 2011

Rückseite: 9780521762687 | Relational Mathematics | Gunther Schmidt | Buch | Englisch | 2011

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

144,95 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Kategorien:

Beschreibung

Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

Über den Autor

Gunther Schmidt was a Professor in the Faculty for Informatics of the Universität der Bundeswehr München before his retirement in 2004.

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2011
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9780521762687
ISBN-10:	0521762685
Sprache:	Englisch
Einband:	Gebunden
Autor:	Schmidt, Gunther
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	240 x 161 x 36 mm
Von/Mit:	Gunther Schmidt
Erscheinungsdatum:	25.11.2011
Gewicht:	1,03 kg