VERY GOOD: This book is in very good condition, showing only slight signs of use and wear.
Product Details
Continued from the back cover: "Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematical science, but the necessary material has appeared only sporadically in the literature and in university curricula. As interest in applied mathematics has grown, the need for a text and reference offering a broad selection of topics in matrix theory has become apparent, and this book meets that need.
"This volume reflects two concurrent views of matrix analysis. First, it encompasses topics in linear algebra that have arisen out of the needs of mathematical analysis. Second, it is an approach to real and complex linear algebraic problems that does not hesitate to use notions from analysis. Both views are reflected in its choice and treatment of topics.
"Matrix Analysis will be welcomed as either an undergraduate or graduate textbook. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts, beginning with a review of results from elementary linear algebra. Eigenvalues, eigenvectors, and similarity are discussed in the first chapter; the following chapters each treat a major topic in depth. This book will also be useful as a self-contained reference work to a variety of audiences in scientific fields including engineering, statistics, economics, and related disciplines."
Chapters
Review and miscellanea
Eigenvalues, eigenvectors, and similarity
Unitary equivalence and normal matrices
Canonical forms
Hermitian and symmetric matrices
Norms for vectors and matrices
Location and perturbation of eigenvalues
Positive definite matrices
Nonnegative matrices
Appendices
Complex numbers
Convex sets and functions
The fundamental theorem of algebra
Continuous dependence of the zeroes of a polynomial on its coefficients
