Linear Algebra
This self-contained textbook, now in a thoroughly revised and expanded second edition, takes a matrix-oriented approach to Linear Algebra. It presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its derivation. Throughout, the book emphasizes the...
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| Auteurs principaux: | , |
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| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | anglais |
| Publié: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Édition: | 2nd ed. 2025. |
| Collection: | Springer Undergraduate Mathematics Series,
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| Sujets: | |
| Accès en ligne: | https://doi.org/10.1007/978-3-031-93260-1 |
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Table des matières:
- Chapter 1. Linear Algebra in every day life
- Chapter 2. Basic mathematical concepts
- Chapter 3. Algebraic structures
- Chapter 4. Matrices
- Chapter 5. The echelon form and the rank of matrices
- Chapter 6. Linear systems of equations
- Chapter 7. Determinants of matrices
- Chapter 8. The characteristic polynomial and eigenvalues of matrices
- Chapter 9. Vector spaces
- Chapter 10. Linear maps
- Chapter 11. Linear forms and bilinear forms
- Chapter 12. Euclidean and unitary vector spaces
- Chapter 13. Adjoints of linear maps
- Chapter 14. Eigenvalues of endomorphisms
- Chapter 15. Polynomials and the Fundamental Theorem of Algebra
- Chapter 16. Cyclic subspaces, duality and the Jordan canonical form
- Chapter 17. Matrix functions and systems of differential equations
- Chapter 18. Special classes of endomorphisms
- Chapter 19. The singular value decomposition
- Chapter 20. The Kronecker product and linear matrix equations.