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Combinatorial Theory
Taschenbuch von Martin Aigner
Sprache: Englisch

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Beschreibung
This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen
This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen
Über den Autor

Biography of Martin Aigner

Martin Aigner received his Ph.D. in Mathematics in 1965 from the University of Vienna. He then spent five years in the United States, the last two at the University of North Carolina at Chapel Hill where he was introduced to the combinatorial world (which he has never left since) by G. C. Rota and the late R. C. Bose. After extensive travels he returned to Europe and spent three years at the University of Tübingen with a senior fellowship of the German Science Foundation. Since 1974 he has been a Professor of Mathematics at the Free University of Berlin.
Martin Aigner has published in various fields of combinatorics and graph theory and is the author of several monographs on discrete mathematics, graph theory and the theory of search.

Inhaltsverzeichnis
Preliminaries.- 1. Sets.- 2. Graphs.- 3. Posets.- 4. Miscellaneous Notation.- I. Mappings.- 1. Classes of Mappings.- 2. Fundamental Orders.- 3. Permutations.- 4. Patterns.- Notes.- II. Lattices.- 1. Distributive Lattices.- 2. Modular and Semimodular Lattices.- 3. Geometric Lattices.- 4. The Fundamental Examples.- Notes.- III. Counting Functions.- 1. The Elementary Counting Coefficients.- 2. Recursion and Inversion.- 3. Binomial Sequences.- 4. Order Functions.- Notes.- IV. Incidence Function.- 1. The Incidence Algebra.- 2. Möbius Inversion.- 3. The Möbius Function.- 4. Valuations.- Notes.- V. Generating Functions.- 1. Ordered Structures.- 2. Unordered Structures.- 3. G-patterns.- 4. G, H-patterns.- Notes.- VI. Matroids: Introduction.- 1. Fundamental Concepts.- 2. Fundamental Examples.- 3. Construction of Matroids.- 4. Duality and Connectivity.- Notes.- VII. Matroids: Further Theory.- 1. Linear Matroids.- 2. Binary Matroids.- 3. Graphic Matroids.- 4. Transversal Matroids.- Notes.- VIII. Combinatorial Order Theory.- 1. Maximum-Minimum Theorems.- 2. Transversal Theorems.- 3. Sperner Theorems.- 4. Ramsey Theorems.- Notes.- List of Symbols.
Details
Erscheinungsjahr: 1996
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 500
Reihe: Classics in Mathematics
Inhalt: x
483 S.
123 s/w Illustr.
ISBN-13: 9783540617877
ISBN-10: 3540617876
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Aigner, Martin
Auflage: Reprint of the 1st ed. Berlin Heidelberg New York 1979
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Classics in Mathematics
Maße: 235 x 155 x 27 mm
Von/Mit: Martin Aigner
Erscheinungsdatum: 16.12.1996
Gewicht: 0,75 kg
preigu-id: 102554713
Über den Autor

Biography of Martin Aigner

Martin Aigner received his Ph.D. in Mathematics in 1965 from the University of Vienna. He then spent five years in the United States, the last two at the University of North Carolina at Chapel Hill where he was introduced to the combinatorial world (which he has never left since) by G. C. Rota and the late R. C. Bose. After extensive travels he returned to Europe and spent three years at the University of Tübingen with a senior fellowship of the German Science Foundation. Since 1974 he has been a Professor of Mathematics at the Free University of Berlin.
Martin Aigner has published in various fields of combinatorics and graph theory and is the author of several monographs on discrete mathematics, graph theory and the theory of search.

Inhaltsverzeichnis
Preliminaries.- 1. Sets.- 2. Graphs.- 3. Posets.- 4. Miscellaneous Notation.- I. Mappings.- 1. Classes of Mappings.- 2. Fundamental Orders.- 3. Permutations.- 4. Patterns.- Notes.- II. Lattices.- 1. Distributive Lattices.- 2. Modular and Semimodular Lattices.- 3. Geometric Lattices.- 4. The Fundamental Examples.- Notes.- III. Counting Functions.- 1. The Elementary Counting Coefficients.- 2. Recursion and Inversion.- 3. Binomial Sequences.- 4. Order Functions.- Notes.- IV. Incidence Function.- 1. The Incidence Algebra.- 2. Möbius Inversion.- 3. The Möbius Function.- 4. Valuations.- Notes.- V. Generating Functions.- 1. Ordered Structures.- 2. Unordered Structures.- 3. G-patterns.- 4. G, H-patterns.- Notes.- VI. Matroids: Introduction.- 1. Fundamental Concepts.- 2. Fundamental Examples.- 3. Construction of Matroids.- 4. Duality and Connectivity.- Notes.- VII. Matroids: Further Theory.- 1. Linear Matroids.- 2. Binary Matroids.- 3. Graphic Matroids.- 4. Transversal Matroids.- Notes.- VIII. Combinatorial Order Theory.- 1. Maximum-Minimum Theorems.- 2. Transversal Theorems.- 3. Sperner Theorems.- 4. Ramsey Theorems.- Notes.- List of Symbols.
Details
Erscheinungsjahr: 1996
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 500
Reihe: Classics in Mathematics
Inhalt: x
483 S.
123 s/w Illustr.
ISBN-13: 9783540617877
ISBN-10: 3540617876
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Aigner, Martin
Auflage: Reprint of the 1st ed. Berlin Heidelberg New York 1979
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Classics in Mathematics
Maße: 235 x 155 x 27 mm
Von/Mit: Martin Aigner
Erscheinungsdatum: 16.12.1996
Gewicht: 0,75 kg
preigu-id: 102554713
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