Combinatorial Matrix Theory

Herbert J. Ryser

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Language: English

Published by Cambridge University Press, 2014

1107662605 / 9781107662605

Series: Book 26 of 188 - Encyclopedia of Mathematics and its Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves. There are chapters dealing with the many connections between matrices, graphs, digraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix, and Latin squares. The final chapter deals with algebraic characterizations of combinatorial properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jordan Canonical Form. The book is sufficiently self-contained for use as a graduate course text, but complete enough for a standard reference work on the basic theory. Thus it will be an essential purchase for combinatorialists, matrix theorists, and those numerical analysts working in numerical linear algebra.

Seller Inventory # 9781107662605

Title
Combinatorial Matrix Theory
Author
Herbert J. Ryser
Publisher
Cambridge University Press
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1107662605
ISBN 13
9781107662605
Item weight
547 grams
Dimensions
229x152x20 mm
Series
Book 26 of 188: Encyclopedia of Mathematics and its Applications

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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