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Focusing on making linear algebra accessible to beginners, the book delves into advanced topics like Hermitian products and Jordan normal forms. It emphasizes the connection between matrices and systems of linear equations, illustrating how matrix operations serve as abstractions of table operations. The text details the row-reduction process, akin to Gauss elimination, using a unique vertical arrangement for convenience. It also covers regular matrices, determinants, and their applications, including the resultants of polynomials, while introducing abstract vector spaces over a field.
Buchkauf
Linear Algebra, Toshitsune Miyake
- Sprache
- Erscheinungsdatum
- 2023
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- (Paperback)
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- Titel
- Linear Algebra
- Untertitel
- From the Beginnings to the Jordan Normal Forms
- Sprache
- Englisch
- Autor*innen
- Toshitsune Miyake
- Erscheinungsdatum
- 2023
- Einband
- Paperback
- Seitenzahl
- 380
- ISBN13
- 9789811669965
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Mathematik
- Beschreibung
- Focusing on making linear algebra accessible to beginners, the book delves into advanced topics like Hermitian products and Jordan normal forms. It emphasizes the connection between matrices and systems of linear equations, illustrating how matrix operations serve as abstractions of table operations. The text details the row-reduction process, akin to Gauss elimination, using a unique vertical arrangement for convenience. It also covers regular matrices, determinants, and their applications, including the resultants of polynomials, while introducing abstract vector spaces over a field.