A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) (142008223X)

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Author: Richard A. Brualdi, Dragos Cvetkovic

Publisher: Chapman & Hall/CRC (2008)

Binding: Hardcover, 288 pages

pricer: $89.95

ISBN-10: 142008223X

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Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices.

After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the K?nig digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix; examine the important properties of nonnegative matrices thatare part of the Perron¨CFrobenius theory; and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry.

Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its application to scientific areas.

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	Programming Combinatorial Algorithms: Generation, Enumeration, and Search (Discrete Mathematics and Its Applications) Donald L. Kreher, Douglas R. Stinson, "Combinatorial Algorithms: Generation, Enumeration, and Search"Pages: 344 \| Publisher: CRC(1998-12-18) \| ISBN: 084933988X \| English \| Djvu \| 3.8 MBThis textbook thoroughly outlines combinatorial algor ...
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	A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) Author: Richard A. Brualdi, Dragos CvetkovicPublisher: Chapman & Hall/CRCPublish Date: 2008-08-06ISBN: 142008223XPages: 288For more mathematics and physics ebooks, go to http://mathlib.co.cc Product Description:Unlike most elementary bo ...
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	Programming Combinatorial Algorithms: Generation, Enumeration, and Search (Discrete Mathematics and Its Applications) Donald L. Kreher, Douglas R. Stinson, "Combinatorial Algorithms: Generation, Enumeration, and Search"Pages: 344 \| Publisher: CRC(1998-12-18) \| ISBN: 084933988X \| English \| Djvu \| 3.8 MBThis textbook thoroughly outlines combinatorial algor ...
	Science/Engineering Combinatorial Methods in Discrete Mathematics (Encyclopedia of Mathematics and its Applications) Vladimir N. Sachkov, "Combinatorial Methods in Discrete Mathematics (Encyclopedia of Mathematics and its Applications)"Publisher: Cambridge University Press \| Pages: 320 \| ISBN:0521455138 \| DjVu \| 2 MBDiscrete mathematics is an important to ...
	Science/Engineering A Combinatorial Approach to Matrix Theory and Its Applications Richard A. Brualdi, Dragos Cvetkovic “A Combinatorial Approach to Matrix Theory and Its Applications" Chapman & Hall/CRC \| 2008-08-06 \| ISBN: 142008223X \| 288 pages \| PDF \| 1,7 MB Unlike most elementary books on matrices, A Combinatori ...
	Science/Engineering Branching Programs and Binary Decision Diagrams: Theory and Applications (Monographs on Discrete Mathematics and Applications) Branching Programs and Binary Decision Diagrams: Theory and Applications (Monographs on Discrete Mathematics and Applications) By Ingo WegenerPublisher: Society for Industrial Mathematics 1987 \| 418 Pages \| ISBN: 0898714583 \| PDF \| 20 MBF ...
	A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) Author: Richard A. Brualdi, Dragos CvetkovicPublisher: Chapman & Hall/CRCPublish Date: 2008-08-06ISBN: 142008223XPages: 288For more mathematics and physics ebooks, go to http://mathlib.co.cc Product Description:Unlike most elementary bo ...
	Discrete Oscillation Theory (Contemporary Mathematics and Its Applications) (Contemporary Mathematics and Its Applications) Author: Ravi P. Agarwal; Martin Bohner; Said R. Grace; Donal O'ReganPublisher: Hindawi Publishing Corporation (2005)Binding: Hardcover, 961 pagespricer: $275.00ISBN-10: 9775945194editorialreviewsThis book is devoted to a rapidly developing ...

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