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Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)

Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)

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VERY GOOD: The book is in excellent condition. The pages are clean, the binding is still like-new tight, and the covers are in very good condition except for a slight "ding" in the upper spine. It is printed on acid-free paper.

Product Details

From the back cover: "The book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant, 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 as well as examine the important properties of nonnegative matrices that are part of the Perron-Frobenius theory. 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 applications to scientific areas.

"Features:

  • Places combinatorial and graph-theoretical tools at the forefront of the development of matrix theory
  • Fosters a better understanding of matrix theory by using graphs to explain basic matrix construction, formulas, computations, ideas, and results
  • 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
  • Includes a combinatorial argument for the classical Cayley-Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix
  • Describes several applications of matrices in electrical engineering, physics, and chemistry."
BRIEF CONTENTS
  • Preface
  • Dedication
  • 1. Introduction
  • 2. Basic Matrix Operations
  • 3. Powers of Matrices
  • 4. Determinants
  • 5. Matrix Inverses
  • 6. Systems of Linear Equations
  • 7. Spectrum of a Matrix
  • 8. Nonnegative Matrices
  • 9. Additional Topics
  • 10. Applications
  • Code
  • Answers and Hints
  • Bibliography
  • Index
View full details

AUTHOR: Brualdi;Richard A. and Gragos Cvetkovic
PUBLISHER: Chapman & Hall/CRC Press
ISBN-13: 9781420082234
ISBN-10: 142008223X
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Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)
Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)1914
Discrete Mathematics and Its Applications: A Combinatorial Approach to Matrix Theory and Its Applications (Hardback)1914
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