You are here: Home / Shop / Product Detail Page |

## Encyclopedia of Mathematics and Its Applications 39: Combinatorial Matrix Theory (Hardback)"This is the first book length exposition of basic results of combinatorial matrix theory, that is, the use of combinatorics and graph theory in matrix theory (and vice versa) and the study of intrinsic properties of matrices viewed as arrays of numbers rather than as algebraic objects." — From the Dust Jacket ## $93.89 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**GOOD:** This book is in excellent condition, but has a previous owner’s name written on the front end page. There is no other writing on its pages. There is some foxing on the top page edge.

## Description

From the dust jacket: “The early chapters deal with the many connections with matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters treat the permanent of a matrix and latin squares. The final chapter deals with algebraic characterization of combinatorial properties and the use of combinatorial arguments in proving such classical theorems as the Cayley-Hamilton theorem and the Jordan canonical form.

“The book assumes that the reader is familiar with basic results of matrix theory but it is otherwise self-contained. It includes many exercises, making it suitable for use as a graduate text. It is also complete enough for a standard reference work in on the basic theory. It will be an essential tool for combinatorialists, matrix theorists and numerical linear algebraists who use combinatorial structure in the analysis of matrices.”

**BRIEF CONTENTS**

- Preface
- 1. Incidence Matrices
- 2. Matrices and Graphs
- 3. Matrices and Digraphs
- 4. Matrices and Bipartite Graphs
- 5. Some Special Graphs
- 6. Existence Theorems
- 7. The Permanent
- 8. Latin Squares
- 9. Combinatorial Matrix Algebra
- Master Reference List
- Index

## Details

- SKU:
- 2197
- Subject:
- Mathematics
- Author:
- Brualdi, Richard A. and Herbert J. Ryser
- Publisher:
- Cambridge University Press
- Publish Date:
- 1991
- Format:
- Hardback with Dust Jacket
- Weight (pounds):
- 1.42
- Dimensions (W”xL”xH”):
- 6.3″x9.3″x1″
- ISBN-13:
- 9780521322652
- ISBN-10:
- 0521322650
- Grade Level:
- Graduate
- Series:
- Encyclopedia of Mathematics and Its Applications

## Related Products

### Products related to "Encyclopedia of Mathematics and Its Applications 39: Combinatorial Matrix Theory (Hardback)"

- Views:

#### Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry (Hardback)

$49.95

"Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications." — From the back cover

#### Encyclopedia of Mathematics and Its Applications 94: Mathematical Constants (Hardback)

$47.39

"The pages of

*Mathematical Constants*abound in thousands of tales about numbers. This book is an amazing piece of erudition destined to fascinate the novice, puzzle the exerpt, and trigger the imagination of all." — the late Philippe Flajolet, renowned computer scientist#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Hardback)

$123.50

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

#### Applied Mathematical Sciences 82: Linear Integral Equations, Second Edition (Hardback)

$115.25

"in the the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book." — Rainer Kress, Author, in the Preface to the Second Edition

#### Introduction to The Theory of Distributions, Second Edition (Hardback)

$99.95

This book is "... a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss." — Review of the first edition in

*Bulletin of the London Mathematical Society*#### Stochastic Modelling and Applied Probability 51: Applied Probability and Queues, Second Edition (Hardback)

$91.29

"This book serves as an introduction to queueing theory and provides a thorough treatment of tools such as Markov processes, renewal theory, random walks, Lévy processes, matrix-analytic methods, and chagne of measure. ..." — From the back cover

#### Nonlinear Systems, Second Edition (Hardback)

$79.95

"This text is intended for a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians." — From the Preface (page v)

#### Introduction to Symmetry Analysis (Softcover with CD-ROM)

$74.79

"Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. ... The text emphasizes applications, and numerous worked examples are used to illustrate basic concepts." — From the back cover

#### Encyclopedia of Mathematics and Its Applications 20: Finite Fields (Softcover)

$73.95

"In this book, which is the first one devoted entirely to finite fields, we have aimed at presenting both the classical and the applications-oriented aspect of the subject. Thus, in addition to what has to be considered the essential core of the theory, the reader will find results and techniques that are of importance mainly because of their use in applications." — From the Authors in the Preface

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

$73.75

"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." — From the back cover#### Applied Mathematical Sciences 40: Linear Operator Theory in Engineering and Science (Softcover)

$72.95

"The goal of this book is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented." — Preface

#### Applied Finite Group Actions, Second Edition (Hardback)

$71.29

"The topic of this book is finite group actions and their use in order to approach finite unlabeled structures by defining them as orbits of finite groups on sets. Well-known examples are graphs, linear codes, chemical isomers, spin configurations, isomorphism classes of combinatorial designs etc." — From the back cover

#### Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (Hardback)

$70.95

"This timely and synoptic text contains the essentials of queueing networks, from the classical product-form theory to the more recent developments such as diffusion and fluid limits, stochastic comparisons, stability, dynamic scheduling, and optimization." — From the back cover

#### Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)

$68.32

"This is a book of ideas. Most of them arise out of my fascination with the division algebras and their tantalizing potential for a deep connection to physics....Inevitably many of these mathematical ideas will be shown to be intimately linked to the design of our physical world." — Geoffrey M. Dixon, Author

#### Texts in Applied Mathematics 36: A Course in Robust Control Theory: A Convex Approach (Hardback)

$68.29

"This goal of this book is to give a graduate-level course on robust control theory that emphasizes ... new developments, but at the same time conveys the main principles and ubiquitous tools at the heart of the subject. Its pedagogical objectives are to introduce a coherent and unified framework for studying robust control theory, to provide students with the control-theoretic background required to read and contributed to the research literature, and the present the main ideas and demonstrations of the major results of robust control theory." — From the back cover

#### Wiley Classics Library: Nonlinear Oscillations (Softcover)

$67.95

"Because this book is intended for classroom use as well as for a reference to researchers, it is nearly self-contained." — From the Preface (page vii)

#### Handbook of Integral Equations (Hardback)

$66.59

"To accommodate different mathematical backgrounds, the authors avoid special terminology; outline some of the methods in a schematic, simplified manner; number the equations and formulas separately in each section; and arrange the equations in increasing order of complexity." — From the back cover

#### Constraint Processing (Hardback)

$61.75

"An indispensable resource for researchers and practitioners in AI and optimization." — Henry Kautz, University of Washington

#### Graduate Texts in Mathematics: Classical Topology and Combinatorial Group Theory, Second Edition (Hardback)

$61.49

"This is a well-balanced introduction to topology that stresses geometric aspects." — From the back cover

#### Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback)

$57.79

"This book is an introduction to and a reference for the applications of integral transforms to a wide variety of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools." — From the back cover