This volume provides a down-to-earth, easily understandable guide to techniques of matrix theory, which are widely used throughout engineering and the physical, life, and social sciences. Fully up-to-date, the book covers a wide range of topics, from basic matrix algebra to such advanced concepts as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. Results are illustrated with many examples drawn from diverse areas of application. Numerous exercises are included to clarify the material presented in the text, which is suitable for undergraduates and graduates alike. Researchers will also benefit from the accessible accounts of advanced matrix techniques.
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Editorial Reviews
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"The exposition and organization are excellent. The emphasis on applications is pervasive and well-done. . .the exercises are excellent, and include many special topics which an instructor may utilize to tailor a particular course. . .Barnett's book is invaluable as a resource to quickly become familiar with. . ." --Robert Grone, San Diego State University
"The book is particularly aimed at the nonmathematician who is interested in how matrices can be used and can be recommended for these groups at all levels as well as an alternative, nonabstract approach for mathematicians." --Mathematical Reviews
"The first seven chapters provide a first course on matrices, including applications, and the last seven chapters consist of more advanced topics not easily found in textbooks." --Quarterly of Applied Mathematics
About the Author
Stephen Barnett is at University of Bradford.
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Inside This Book
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First Sentence:
In this chapter we describe a few of the very many areas of applications in which matrices are used, the choice of topics being deliberately diverse. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
diagonalization formula, companion matrix, companion matrices, circulant matrix, minimum polynomial, sufficient condition for asymptotic stability, principal diagonal, ordinary inverse, secondary diagonal, controllability matrix, circulant matrices, leading principal minors, invariant factors, column interchanges, polynomial matrices, rational matrices, stability matrix, principal submatrices, check matrix, using gaussian elimination, elementary divisors, row interchanges, companion form, triangular factors, partitioned form Key Phrases - Capitalized Phrases (CAPs): (learn more)
References Barnett, Repeat Exercise New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter we describe a few of the very many areas of applications in which matrices are used, the choice of topics being deliberately diverse. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
diagonalization formula, companion matrix, companion matrices, circulant matrix, minimum polynomial, sufficient condition for asymptotic stability, principal diagonal, ordinary inverse, secondary diagonal, controllability matrix, circulant matrices, leading principal minors, invariant factors, column interchanges, polynomial matrices, rational matrices, stability matrix, principal submatrices, check matrix, using gaussian elimination, elementary divisors, row interchanges, companion form, triangular factors, partitioned form Key Phrases - Capitalized Phrases (CAPs): (learn more)
References Barnett, Repeat Exercise New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 10
books:
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24
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- Error-Correcting Codes and Finite Fields. Student Edition (Oxford Applied Mathematics and Computing Science Series) by Oliver Pretzel in Front Matter
- Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Applied and Engineering Mathematics) by D. W. Jordan in Front Matter
- Applied Mathematics by Raymond A. Barnett in Front Matter
- Abstract Data Types: Their Specification, Representation, and Use (Applied Mathematics & Computing Science) by Pete Thomas in Front Matter
- Mathematical Models in Applied Mechanics (Oxford Texts in Applied and Engineering Mathematics) by A. B. Tayler in Front Matter
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- Boundary Value Problems, Fifth Edition: and Partial Differential Equations by David L. Powers in Back Matter
- Mathematical Methods for Physicists, Sixth Edition: A Comprehensive Guide by George B. Arfken on page 239
- Progress in Optics Volume 37, Volume 37 by Author Unknown on page 53
- Introduction to Parallel Computing (Oxford Texts in Applied and Engineering Mathematics) by W. P. Petersen in Front Matter
- Fuzzy Control: Synthesis and Analysis by Shehu S. Farinwata on page 201
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