An engaging textbook for advanced undergraduates and beginning graduates covering the core subjects in linear algebra, with a unique emphasis on ideas from analysis. This edition includes over 200 new exercises and in-depth coverage of contemporary applications, including quantum mechanics, machine learning, data science, and quantum information.
An engaging textbook for advanced undergraduates and beginning graduates covering the core subjects in linear algebra, with a unique emphasis on ideas from analysis. This edition includes over 200 new exercises and in-depth coverage of contemporary applications, including quantum mechanics, machine learning, data science, and quantum information.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Yisong Yang is Professor at the Courant Institute of Mathematical Sciences, New York University. He is a Fellow of the American Mathematical Society and the author of 'Solitons in Field Theory and Nonlinear Analysis' (2001) and 'Mathematical Physics with Differential Equations' (2023).
Inhaltsangabe
Notation and convention 1. Vector spaces 2. Linear mappings 3. Determinants 4. Scalar products 5. Real quadratic forms and self-adjoint mappings 6. Complex quadratic forms and self-adjoint mappings 7. Jordan decomposition 8. Selected topics 9. Excursion: Quantum mechanics in a nutshell 10. Excursion: Problems in machine learning 11. Excursion: Problems in data analysis 12. Excursion: Multilinear algebra 13. Excursion: Essentials of quantum information and quantum entanglement Solutions to selected problems Bibliographic notes Bibliography Index.
Notation and convention 1. Vector spaces 2. Linear mappings 3. Determinants 4. Scalar products 5. Real quadratic forms and self-adjoint mappings 6. Complex quadratic forms and self-adjoint mappings 7. Jordan decomposition 8. Selected topics 9. Excursion: Quantum mechanics in a nutshell 10. Excursion: Problems in machine learning 11. Excursion: Problems in data analysis 12. Excursion: Multilinear algebra 13. Excursion: Essentials of quantum information and quantum entanglement Solutions to selected problems Bibliographic notes Bibliography Index.
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