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Cover: 9781108837101 | Matrix Mathematics | A Second Course in Linear Algebra | Buch | 2023
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Matrix Mathematics
A Second Course in Linear Algebra
Buch von Roger A. Horn (u. a.)
Sprache: Englisch

81,10 €*

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Lieferzeit 1-2 Wochen

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Beschreibung
Designed for advanced undergraduates studying mathematics, data science, and the physical sciences, this rigorous text helps students transition from basic linear algebra to advanced topics and applications. Readers will appreciate its modern matrix-based approach, clear exposition, 350 numerical and conceptual examples, and 900 exercises.
Designed for advanced undergraduates studying mathematics, data science, and the physical sciences, this rigorous text helps students transition from basic linear algebra to advanced topics and applications. Readers will appreciate its modern matrix-based approach, clear exposition, 350 numerical and conceptual examples, and 900 exercises.
Über den Autor
Stephan Ramon Garcia is W .M. Keck Distinguished Service Professor and Chair of the Department of Mathematics and Statistics at Pomona College. He is the author of five books and over 100 research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and combinatorics. He has served on the editorial boards of the Proceedings of the American Mathematical Society, Notices of the American Mathematical Society, Involve, and The American Mathematical Monthly. He received six teaching awards from three different institutions and is a fellow of the American Mathematical Society, which has awarded him the inaugural Dolciani Prize for Excellence in Research.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9781108837101
ISBN-10: 1108837107
Sprache: Englisch
Einband: Gebunden
Autor: Horn, Roger A.
Garcia, Stephan Ramon
Hersteller: Cambridge University Press
Maße: 185 x 260 x 32 mm
Von/Mit: Roger A. Horn (u. a.)
Erscheinungsdatum: 25.05.2023
Gewicht: 1,136 kg
Artikel-ID: 126453333
Über den Autor
Stephan Ramon Garcia is W .M. Keck Distinguished Service Professor and Chair of the Department of Mathematics and Statistics at Pomona College. He is the author of five books and over 100 research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and combinatorics. He has served on the editorial boards of the Proceedings of the American Mathematical Society, Notices of the American Mathematical Society, Involve, and The American Mathematical Monthly. He received six teaching awards from three different institutions and is a fellow of the American Mathematical Society, which has awarded him the inaugural Dolciani Prize for Excellence in Research.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9781108837101
ISBN-10: 1108837107
Sprache: Englisch
Einband: Gebunden
Autor: Horn, Roger A.
Garcia, Stephan Ramon
Hersteller: Cambridge University Press
Maße: 185 x 260 x 32 mm
Von/Mit: Roger A. Horn (u. a.)
Erscheinungsdatum: 25.05.2023
Gewicht: 1,136 kg
Artikel-ID: 126453333
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