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Advanced Linear Algebra
Buch von Nicholas A. Loehr
Sprache: Englisch

116,95 €*

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Beschreibung

Designed for advanced undergraduate and beginning graduate students in linear of abstract algebra, Advanced Linear Algebra provides a bridge from elementary computational linear algebra to more advanced, abstract aspects of linear algebra in many areas of pure and applied mathematics.

Designed for advanced undergraduate and beginning graduate students in linear of abstract algebra, Advanced Linear Algebra provides a bridge from elementary computational linear algebra to more advanced, abstract aspects of linear algebra in many areas of pure and applied mathematics.

Über den Autor

Nicholas A. Loehr received his Ph.D. in mathematics from the University of California at San Diego in 2003, studying algebraic combinatorics under the guidance of Professor Jeffrey Remmel. After spending two years at the University of Pennsylvania as an NSF postdoc, Dr. Loehr taught mathematics at the College of William and Mary, the United States Naval Academy, and Virginia Tech. Dr. Loehr has authored over sixty refereed journal articles and three textbooks on combinatorics, advanced linear algebra, and mathematical proofs. He teaches classes in these subjects and many others, including cryptography, vector calculus, modern algebra, real analysis, complex analysis, and number theory.

Inhaltsverzeichnis

1. Overview of Algebraic Systems. 2. Permutations. 3. Polynomials. 4. Basic Matrix Operations. 5. Determinants via Calculations. 6. Comparing Concrete Linear Algebra to Abstract Linear Algebra. 7. Hermitian, Positive Definite, Unitary, and Normal Matrices. 8. Jordan Canonical Forms. 9. Matrix Factorizations. 10. Iterative Algorithms in Numerical Linear Algebra. 11. Affine Geometry and Convexity. 12. Ruler and Compass Constructions. 13. Dual Vector Spaces. 14. Bilinear Forms. 15. Metric Spaces and Hilbert Spaces. 16. Finitely Generated Commutative Groups. 17. Introduction to Modules. 18. Principal Ideal Domains, Modules over PIDs, and Canonical Forms. 19. Introduction to Universal Mapping Properties. 20. Universal Mapping Problems in Multilinear Algebra

Details
Erscheinungsjahr: 2024
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9781032765723
ISBN-10: 1032765720
Sprache: Englisch
Einband: Gebunden
Autor: Loehr, Nicholas A.
Hersteller: Taylor & Francis Ltd
Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße: 184 x 261 x 42 mm
Von/Mit: Nicholas A. Loehr
Erscheinungsdatum: 21.06.2024
Gewicht: 1,382 kg
Artikel-ID: 128614384
Über den Autor

Nicholas A. Loehr received his Ph.D. in mathematics from the University of California at San Diego in 2003, studying algebraic combinatorics under the guidance of Professor Jeffrey Remmel. After spending two years at the University of Pennsylvania as an NSF postdoc, Dr. Loehr taught mathematics at the College of William and Mary, the United States Naval Academy, and Virginia Tech. Dr. Loehr has authored over sixty refereed journal articles and three textbooks on combinatorics, advanced linear algebra, and mathematical proofs. He teaches classes in these subjects and many others, including cryptography, vector calculus, modern algebra, real analysis, complex analysis, and number theory.

Inhaltsverzeichnis

1. Overview of Algebraic Systems. 2. Permutations. 3. Polynomials. 4. Basic Matrix Operations. 5. Determinants via Calculations. 6. Comparing Concrete Linear Algebra to Abstract Linear Algebra. 7. Hermitian, Positive Definite, Unitary, and Normal Matrices. 8. Jordan Canonical Forms. 9. Matrix Factorizations. 10. Iterative Algorithms in Numerical Linear Algebra. 11. Affine Geometry and Convexity. 12. Ruler and Compass Constructions. 13. Dual Vector Spaces. 14. Bilinear Forms. 15. Metric Spaces and Hilbert Spaces. 16. Finitely Generated Commutative Groups. 17. Introduction to Modules. 18. Principal Ideal Domains, Modules over PIDs, and Canonical Forms. 19. Introduction to Universal Mapping Properties. 20. Universal Mapping Problems in Multilinear Algebra

Details
Erscheinungsjahr: 2024
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Einband - fest (Hardcover)
ISBN-13: 9781032765723
ISBN-10: 1032765720
Sprache: Englisch
Einband: Gebunden
Autor: Loehr, Nicholas A.
Hersteller: Taylor & Francis Ltd
Verantwortliche Person für die EU: preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße: 184 x 261 x 42 mm
Von/Mit: Nicholas A. Loehr
Erscheinungsdatum: 21.06.2024
Gewicht: 1,382 kg
Artikel-ID: 128614384
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