Linear algebra in action
Material type:
TextSeries: Graduate studies in mathematics ; volume 232Publication details: Rhode Island : American Mathematical Society, 2023. Edition: 3rd edDescription: xxiii, 485pISBN: 9781470474195Subject(s): Algebras, Linear | Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.) | Functions of a complex variable -- Instructional exposition (textbooks, tutorial papers, etc.) | Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.) | Difference and functional equations -- Instructional exposition (textbooks, tutorial papers, etc.) | Functional analysis -- Linear function spaces and their duals -- Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces | Convex and discrete geometry -- Instructional exposition (textbooks, tutorial papers, etc.) | Systems theory; control -- Instructional exposition (textbooks, tutorial papers, etc.)DDC classification: 512.64 Online resources: Table of Contents | Index | Reviews Summary: This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student.
Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed.
This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Book
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SMS Library | 512.64 DYM-L (Browse shelf(Opens below)) | Available | 25211 |
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| 512.628:517.986 BOT-G Differential forms in algebraic topology | 512.64 BAP-L Linear algebra and linear models | 512.64 COL-D Dynamical systems and linear algebra: volume 158 | 512.64 DYM-L Linear algebra in action | 512.64 FRI-L Linear algebra | 512.64 HOF-L Linear algebra | 512.64 HOF-L Linear algebra |
Includes bibliographical references and index.
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student.
Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed.
This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Undergraduate and graduate students and researchers interested in learning and teaching linear algebra with an emphasis on concrete algorithms.
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