Advanced linear algebra
(eBook)
Author:
Series:
Graduate texts in mathematics ; volume 135.
Published:
New York : Springer, ©2005.
Format:
eBook
Edition:
2nd ed.
ISBN:
9780387274744, 038727474X, 0387247661, 9780387247663
Content Description:
1 online resource (xvi, 482 pages) : illustrations
Status:
Available Online
Description
"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
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LC Subjects
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Citations
APA Citation (style guide)
Roman, S. (2005). Advanced linear algebra. 2nd ed. New York, Springer.
Chicago / Turabian - Author Date Citation (style guide)Roman, Steven. 2005. Advanced Linear Algebra. New York, Springer.
Chicago / Turabian - Humanities Citation (style guide)Roman, Steven, Advanced Linear Algebra. New York, Springer, 2005.
MLA Citation (style guide)Roman, Steven. Advanced Linear Algebra. 2nd ed. New York, Springer, 2005.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
UPC:
10.1007/0-387-27474-X
Notes
Bibliography
Includes bibliographical references (pages 473-474) and index.
Restrictions on Access
University staff and students only. Requires University Computer Account login off-campus.
Description
"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
Staff View
Grouped Work ID:
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Record Information
| Last Sierra Extract Time | Apr 05, 2024 08:37:14 AM |
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| Last File Modification Time | Apr 05, 2024 08:38:47 AM |
| Last Grouped Work Modification Time | Apr 05, 2024 08:37:30 AM |
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| 490 | 1 | |a Graduate texts in mathematics ;|v 135 | |
| 504 | |a Includes bibliographical references (pages 473-474) and index. | ||
| 505 | 0 | |a 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. | |
| 506 | |a University staff and students only. Requires University Computer Account login off-campus. | ||
| 520 | 1 | |a "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 | |
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