Advanced linear algebra
Roman, Steven.
Advanced linear algebra Steven Roman. - 3rd ed. - New Delhi : Springer, 2007. - xviii, 522 p. ; 25 cm. - Graduate texts in mathematics ; 135 . - Graduate texts in mathematics ; 135. .
Includes bibliographical references and index.
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 -- Singular Values and the Moore-Penrose Inverse -- An Introduction to Algebras -- The Umbral Calculus. Pt. I. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Pt. II. 11. 12. 13. 14. 15. 16. 17. 18. 19.
9788132202974
2007934001
Algebras, Linear.
QA184.2 / .R66 2007
512.5 / ROM-A
Advanced linear algebra Steven Roman. - 3rd ed. - New Delhi : Springer, 2007. - xviii, 522 p. ; 25 cm. - Graduate texts in mathematics ; 135 . - Graduate texts in mathematics ; 135. .
Includes bibliographical references and index.
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 -- Singular Values and the Moore-Penrose Inverse -- An Introduction to Algebras -- The Umbral Calculus. Pt. I. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Pt. II. 11. 12. 13. 14. 15. 16. 17. 18. 19.
9788132202974
2007934001
Algebras, Linear.
QA184.2 / .R66 2007
512.5 / ROM-A