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On the Foundations of Combinatorial Theory : Combinatorial Geometries by Henry H., Rota, Gian-Carlo Crapo - Henry H., Rota, Gian-Carlo Crapo
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Henry H., Rota, Gian-Carlo Crapo:

On the Foundations of Combinatorial Theory : Combinatorial Geometries by Henry H., Rota, Gian-Carlo Crapo - gebrauchtes Buch

ISBN: 9780262530163

It has been clear within the last ten years that combinatorial geometry, together with its order-theoretic counterpart, the geometric lattice, can serve to catalyze the whole field of com… Mehr…

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Crapo, Henry H., Rota, Gian-Carlo:

On the Foundations of Combinatorial Theory : Combinatorial Geometries - Taschenbuch

2020, ISBN: 9780262530163

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ON THE FOUNDATIONS OF COMBINATORIAL THEORY: COMBINATORIAL GEOMETRIES. [Preliminary Ed.] - Crapo, Henry H. & Rota, Gian-Carlo
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Crapo, Henry H. & Rota, Gian-Carlo:
ON THE FOUNDATIONS OF COMBINATORIAL THEORY: COMBINATORIAL GEOMETRIES. [Preliminary Ed.] - Taschenbuch

1970

ISBN: 0262530163

[EAN: 9780262530163], [PU: Cambridge/London: M.I.T. Press c. 1970.], MATHEMATICS GEOMETRY COMBINATORICS, Mathematics|Geometry|General, Mathematics|General, G, unmarked 7" x 10" Paperback;… Mehr…

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On the Foundations of Combinatorial Theory: Combinatorial Geometries - CRAPO
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On the Foundations of Combinatorial Theory: Combinatorial Geometries - Taschenbuch

1974, ISBN: 9780262530163

MIT Press, Paperback, Auflage: Prelim ed. 293 Seiten, Publiziert: 1974-01-01T00:00:01Z, Produktgruppe: Book, 0.45 kg, Verkaufsrang: 3878417, Numbers, Mathematics, Science, Nature & Maths,… Mehr…

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Henry H. Crapo, Gian-Carlo Rota:
On the Foundations of Combinatorial Theory: Combinatorial Geometries - Taschenbuch

1970, ISBN: 9780262530163

Paperback, A copy that's been read with the usual wear and creases on the cover. Pages are tanning but clean. All pages are intact. Very Clean Copy-Over 500, 000 Internet Orders Filled., … Mehr…

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Details zum Buch
On the Foundations of Combinatorial Theory: Combinatorial Geometries
Autor:
Titel:
ISBN-Nummer:

0262530163


It has been clear within the last ten years that combinatorial geometry, together with its order-theoretic counterpart, the geometric lattice, can serve to catalyze the whole field of combinatorial theory, and a major aim of this book, now available in a preliminary edition, is to present the theory in a form accessible to mathematicians working in disparate subjects.

Earlier studies have been one-sided or restricted in their point of view; they were motivated primarily by the desire to extend the classical theory of graphs, or were lattice-theoretic approaches confined to axiomatics and algebraic dependence. These approaches largely ignored the original geometric motivations.

The present work brings all these aspects together in order to emphasize the many-sidedness of combinatorial geometry, and to point up the unifying role it may well play in current developments in combinatorics and its applications.

The book defines the axiomatics of combinatorial geometry, describes a variety of geometrical examples, and discusses the notion of a strong map between geometries. In addition, there is a brief presentation of coordinatization theory and a sketch of two important lines of future work, the "critical problem" and matching theory. The full chapter titles are given below.

Contents: 1. Introduction. 2. Geometrics and Geometric Lattices. 3. Six Classical Examples. 4. Span, Bases, Bonds, Dependence, and Circuits. 5. Cryptomorphic Versions of Geometry. 6. Simplicial Geometries. 7. Semimodular Functions. 8. A Glimpse of Matching Theory. 9. Maps. 10. The Extension Theorem. 11. Orthogonality. 12. Factorization of Relatively Complemented Lattices. 13. Factorization of Geometries. 14. Connected Sets. 15. Representation. 16. The Critical Problem. 17. Bibliography.

Detailangaben zum Buch - On the Foundations of Combinatorial Theory: Combinatorial Geometries


EAN (ISBN-13): 9780262530163
ISBN (ISBN-10): 0262530163
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1970
Herausgeber: MIT Press

Buch in der Datenbank seit 2008-08-12T04:20:43+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-09-28T20:11:35+02:00 (Berlin)
ISBN/EAN: 0262530163

ISBN - alternative Schreibweisen:
0-262-53016-3, 978-0-262-53016-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: gian carlo rota, crapo
Titel des Buches: foundations geometry, combinatorial geometry, the foundations combinatorial theory

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