A Combinatorial Approach to Matrix Theory and Its Applications PDF
by Richard A. Brualdi, Dragos Cvetkovic
Part of the Discrete Mathematics and Its Applications series
Description
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. Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. It presents material rarely found in other books at this level, including Gersgorin's theorem and its extensions, the Kronecker product of matrices, sign-nonsingular matrices, and the evaluation of the permanent matrix. The authors provide a combinatorial argument for the classical Cayley-Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix. They also describe several applications of matrices in electrical engineering, physics, and chemistry.
Information
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Download - Immediately Available
- Format:PDF
- Pages:288 pages
- Publisher:CRC Press
- Publication Date:06/08/2008
- Category:
- ISBN:9781420082241
Other Formats
- Hardback from £135.00
Information
-
Download - Immediately Available
- Format:PDF
- Pages:288 pages
- Publisher:CRC Press
- Publication Date:06/08/2008
- Category:
- ISBN:9781420082241
