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Advanced linear algebra

By: Material type: TextTextSeries: Graduate texts in mathematics ; 135.Publication details: New Delhi : Springer, 2007.Edition: 3rd edDescription: xviii, 522 p. ; 25 cmISBN:
  • 9788132202974
Subject(s): DDC classification:
  • 512.5 ROM-A
LOC classification:
  • QA184.2 .R66 2007
Contents:
Pt. I. Basic Linear Algebra -- 1. Vector Spaces -- 2. Linear Transformations -- 3. The Isomorphism Theorems -- 4. Modules I: Basic Properties -- 5. Modules II: Free and Noetherian Modules -- 6. Modules over a Principal Ideal Domain -- 7. The Structure of a Linear Operator -- 8. Eigenvalues and Eigenvectors -- 9. Real and Complex Inner Product Spaces -- 10. Structure Theory for Normal Operators -- Pt. II. Topics -- 11. Metric Vector Spaces: The Theory of Bilinear Forms -- 12. Metric Spaces -- 13. Hilbert Spaces -- 14. Tensor Products -- 15. Positive Solutions to Linear Systems: Convexity and Separation -- 16. Affine Geometry -- 17. Singular Values and the Moore-Penrose Inverse -- 18. An Introduction to Algebras -- 19. The Umbral Calculus.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD Reference Mathematics REF 512.5 ROM-A (Browse shelf(Opens below)) Available 003172
Books Books IIITD General Stacks Mathematics 512.5 ROM-A (Browse shelf(Opens below)) Available 002503
Total holds: 0

Includes bibliographical references and index.

Pt. I. Basic Linear Algebra -- 1. Vector Spaces -- 2. Linear Transformations -- 3. The Isomorphism Theorems -- 4. Modules I: Basic Properties -- 5. Modules II: Free and Noetherian Modules -- 6. Modules over a Principal Ideal Domain -- 7. The Structure of a Linear Operator -- 8. Eigenvalues and Eigenvectors -- 9. Real and Complex Inner Product Spaces -- 10. Structure Theory for Normal Operators -- Pt. II. Topics -- 11. Metric Vector Spaces: The Theory of Bilinear Forms -- 12. Metric Spaces -- 13. Hilbert Spaces -- 14. Tensor Products -- 15. Positive Solutions to Linear Systems: Convexity and Separation -- 16. Affine Geometry -- 17. Singular Values and the Moore-Penrose Inverse -- 18. An Introduction to Algebras -- 19. The Umbral Calculus.

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