K. Murota, University of Tokyo, Japan

Matrices and Matroids for Systems Analysis
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This bookserves also as a comprehensive presentation of the theory and application of mixed
matrices, developed primarily by the present author in the 1990's. A mixed matrix
is a convenient mathematical tool for systems analysis, compatible with the physicalobservation that "fixed constants" and "system parameters" are to be distinguished in
the description of engineering systems. This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science.
From the reviews: "…The book has been prepared very carefully, contains a lot ofinteresting results and is highly recommended for graduate and postgraduate students." András Recski, Mathematical Reviews Clippings 2000m:93006... more on http://springer.com/978-3-642-03993-5

2010. XII, 483 p. 72 illus. (Algorithms andCombinatorics, Vol. 20) Softcover▶
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▶ Offers a comprehensive presentation of the theory and application of mixed matrices and a unique introduction to matroid theory ▶ Features a self-contained presentation of the theory and applications of matroids, written in such a way that the reader canacquire familiarity with matroids through matrices and reach the stage of understanding
the most recent results in matroid theory

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