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Focusing on clarity for beginners, the book delves into linear algebra, starting with matrices and their operations as abstractions of tables. It emphasizes the connection between linear equations and linear algebra, using row-reduction methods akin to Gauss elimination for solving systems. Unique to this text is the vertical arrangement of matrices for easier calculations. Additionally, it covers advanced topics like Hermitian products, Jordan normal forms, and the application of determinants to polynomial resultants, while also introducing abstract vector spaces.
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Linear Algebra, Toshitsune Miyake
- Langue
- Année de publication
- 2022
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- Titre
- Linear Algebra
- Sous-titre
- From the Beginnings to the Jordan Normal Forms
- Langue
- Anglais
- Auteurs
- Toshitsune Miyake
- Éditeur
- Springer Nature Singapore
- Publié
- 2022
- Format
- rigide
- Pages
- 380
- ISBN13
- 9789811669934
- Séries
- Mots clés
- Nonfiction, Science et Mathématiques, Mathématiques
- Description
- Focusing on clarity for beginners, the book delves into linear algebra, starting with matrices and their operations as abstractions of tables. It emphasizes the connection between linear equations and linear algebra, using row-reduction methods akin to Gauss elimination for solving systems. Unique to this text is the vertical arrangement of matrices for easier calculations. Additionally, it covers advanced topics like Hermitian products, Jordan normal forms, and the application of determinants to polynomial resultants, while also introducing abstract vector spaces.