| Description |
1 online resource (xvi, 482 pages) : illustrations |
| Series |
Graduate texts in mathematics ; 135 |
|
Graduate texts in mathematics ; 135.
|
| Contents |
Preliminaries -- Preliminaries -- Basic Linear Algebra -- Vector Spaces -- Linear Transformations -- The Isomorphism Theorems -- Modules I: Basic Properties -- Modules II: Free and Noetherian Modules -- Modules over a Principal Ideal Domain -- The Structure of a Linear Operator -- Eigenvalues and Eigenvectors -- Real and Complex Inner Product Spaces -- Structure Theory for Normal Operators -- Topics -- Metric Vector Spaces: The Theory of Bilinear Forms -- Metric Spaces -- Hilbert Spaces -- Tensor Products -- Positive Solutions to Linear Systems: Convexity and Separation -- Affine Geometry -- Operator Factorizations: QR and Singular Value -- The Umbral Calculus |
| Summary |
"This is a graduate textbook covering an especially broad range of topics. The new edition has been thoroughly rewritten, both in the text and exercise sets, and contains new chapters on convexity and separation, positive solutions to linear systems, singular values and QR decompostion. Treatments of tensor products and the umbral calculus have been greatly expanded and discussions of determinants, complexification of a real vector space, Schur's lemma and Gersgorin disks have been added."--Jacket |
| Bibliography |
Includes bibliographical references (pages 473-474) and index |
| Notes |
Print version record |
| In |
Springer eBooks |
| Subject |
Algebras, Linear.
|
|
Álgebra lineal
|
|
Algebras, Linear
|
|
Álgebra.
|
|
Álgebra linear.
|
|
Valores próprios.
|
|
Linjär algebra.
|
| Form |
Electronic book
|
| ISBN |
9780387274744 |
|
038727474X |
|
0387247661 |
|
9780387247663 |
|
