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Matrix Mathematics Vital Source e-bog
Stephan Ramon Garcia og Roger A. Horn
(2023)
Cambridge University Press
773,00 kr.
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Matrix Mathematics
A Second Course in Linear Algebra
Stephan Ramon Garcia og Roger A. Horn
(2023)
Sprog: Engelsk
Cambridge University Press
630,00 kr.
5 stk på lager
Hvor kan jeg afhente varen?Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Cambridge University Press (Maj 2023)
- Forfattere: Stephan Ramon Garcia og Roger A. Horn
- ISBN: 9781108945592
Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900 exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300 more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 2. Udgave
- Hardback: 500 sider
- Udgiver: Cambridge University Press (Maj 2023)
- Forfattere: Stephan Ramon Garcia og Roger A. Horn
- ISBN: 9781108837101
Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300+ more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.
Contents; Preface; Notation;
1. Vector Spaces;
2. Bases and Similarity;
3. Block Matrices;
4. Rank, Triangular Factorizations, and Row Equivalence;
5. Inner Products and Norms;
6. Orthonormal Vectors;
7. Unitary Matrices;
8. Orthogonal Complements and Orthogonal Projections;
9. Eigenvalues, Eigenvectors, and Geometric Multiplicity;
10. The Characteristic Polynomial and Algebraic Multiplicity;
11. Unitary Triangularization and Block Diagonalization;
12. The Jordan Form: Existence and Uniqueness;
13. The Jordan Form: Applications;
14. Normal Matrices and the Spectral Theorem;
15. Positive Semidefinite Matrices;
16. The Singular Value and Polar Decompositions;
17. Singular Values and the Spectral Norm;
18. Interlacing and Inertia;
19. Norms and Matrix Norms;
20. Positive and Nonnegative Matrices; References; Index.
1. Vector Spaces;
2. Bases and Similarity;
3. Block Matrices;
4. Rank, Triangular Factorizations, and Row Equivalence;
5. Inner Products and Norms;
6. Orthonormal Vectors;
7. Unitary Matrices;
8. Orthogonal Complements and Orthogonal Projections;
9. Eigenvalues, Eigenvectors, and Geometric Multiplicity;
10. The Characteristic Polynomial and Algebraic Multiplicity;
11. Unitary Triangularization and Block Diagonalization;
12. The Jordan Form: Existence and Uniqueness;
13. The Jordan Form: Applications;
14. Normal Matrices and the Spectral Theorem;
15. Positive Semidefinite Matrices;
16. The Singular Value and Polar Decompositions;
17. Singular Values and the Spectral Norm;
18. Interlacing and Inertia;
19. Norms and Matrix Norms;
20. Positive and Nonnegative Matrices; References; Index.
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