A Combinatorial Approach to Matrix Theory and Its Applications (Hardcover) (ISBN-13: 9781420082234)

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.

Author: Richard A. Brualdi, Dragos Cvetkovic
ISBN-10: 142008223X
ISBN-13: 9781420082234
Publisher: CRC Press
Language: English
Published: 11/01/2008
Pages: 283
Format: Hardcover
Weight: 1.35lbs
Size: 9.60h x 6.30w x 0.90d

Review Citation(s):
Scitech Book News 12/01/2008 pg. 35