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CRC Press A Combinatorial Approach to Matrix Theory - Book

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Description

A Combinatorial Approach to Matrix Theory and Its Applications offers a unique perspective on linear algebra. Unlike standard elementary books, this text uses combinatorial and graph-theoretical tools to develop basic theorems. This method provides new insights by exploring how these specific tools connect to matrix theory. The book begins with a review of essential foundations, including graph theory basics, elementary counting formulas, fields, and vector spaces. It then moves into the algebra of matrices, utilizing the Konig digraph to perform simple matrix operations. Readers will explore topics such as matrix powers and a graph-theoretical definition of the determinant. This volume is part of the Discrete Mathematics and Its Applications series. It is an ideal resource for students and professionals looking to understand the deep connections between discrete mathematics, graph theory, and matrix algebra through a specialized combinatorial lens.

Key Features

Uses combinatorial and graph-theoretical tools to develop basic theorems of matrix theory for a unique learning perspective.

Includes a foundational review of graph theory, elementary counting formulas, fields, and vector spaces.

Explains matrix algebra and demonstrates how to use the Konig digraph for simple matrix operations.

Provides detailed discussions on matrix powers and a graph-theoretical definition of the determinant.

Part of the Discrete Mathematics and Its Applications series for structured academic study.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
06 August 2008
Listed Since
28 January 2008

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