Advanced Linear Algebra

Specificaties
Paperback, 526 blz. | Engels
Springer New York | 3e druk, 2010
ISBN13: 9781441924988
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Springer New York 3e druk, 2010 9781441924988
Onderdeel van serie Graduate Texts in Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

Specificaties

ISBN13:9781441924988
Taal:Engels
Bindwijze:paperback
Aantal pagina's:526
Uitgever:Springer New York
Druk:3

Inhoudsopgave

* 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 * 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 * References * Index

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        Advanced Linear Algebra