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25 Remote Warehouse Mathematics- Combinatorics

Combinatorial Theory (Classics in Mathematics)

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Combinatorial Theory (Classics in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Reihentext + Combinatorial Theory From the reviews: "This book presents a very good introduction to combinatorics. It covers most aspects of enumeration and order theory,... It is divided into three parts. The first part presents the basic material on mappings and posets... The second part deals with enumeration ... Finally the third part treats of the order-theoretic aspects ... In the text examples are given and at the end of each chapter valuable notes, also very good selected exercises. They constitute an organic part of the book. This book can warmly be recommended first of all to students interested in combinatorics. A two semester course can also be based on it." (Publicationes Mathematicae Debrecen)

Synopsis:

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

Description:

Includes bibliographical references (p. [453]-469) and index.

About the Author

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.

Table of Contents

Preliminaries: Sets: Graphs; Posets; Miscellaneous Notation. Mappings: Classes of Mappings; Fundamental Orders; Permutations; Patterns. Lattices: Distributive Lattices; Modular and Semimodular Lattices; Geometric Lattices; The Fundamental Examples. Countng Functions: The Elementary Counting Coefficients; Recursion and Inversion; Binomial Sequences; Order Functions. Incidence Functions: The Incidence Algebra; Möbius Inversion; The Möbius Function; Valuations. Generating Functions:Ordered Structures; Unordered Structures; G-patterns; G, H-patterns. Matroids- Introduction: Fundamental Concepts; Fundamental Examples; Construction of Matroids; Duality and Connectivity. Matroids - Further Theory: Linear Matroids; Bineary matroids; Graphic Matroids; Transversal Matroids. Combinatorial Order Theory: Maximum-Minimum Theorems; Transversal Theorems; Sperner Theorems; Ramsey Theorems. Bibliography. List of Symbols. Subject Index

Product Details

ISBN:
9783540617877
Author:
Ainger, Martin
Author:
Aigner, Martin
Publisher:
Springer
Location:
Berlin ;
Subject:
General
Subject:
Geometry
Subject:
Discrete Mathematics
Subject:
Combinatorial analysis
Subject:
Graph theory
Subject:
Algorithms
Subject:
Combinatorics
Subject:
Lattice theory
Subject:
combinatorial theory
Subject:
computing
Subject:
Convex and Discrete Geometry
Subject:
Order, Lattices, Ordered Algebraic Structures
Subject:
Mathematics-Combinatorics
Copyright:
Edition Number:
1
Edition Description:
Reprint of the 1st ed. Berlin Heidelberg New York 1979
Series:
Classics in Mathematics
Series Volume:
99
Publication Date:
March 2004
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
493
Dimensions:
235 x 155 mm 1530 gr

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Related Subjects

Science and Mathematics » Biology » Molecular
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Combinatorics

Combinatorial Theory (Classics in Mathematics) New Trade Paper
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Product details 493 pages Springer-Verlag - English 9783540617877 Reviews:
"Synopsis" by , 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
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