Linear Algebra

• Κύριοι συγγραφείς: Liesen, Jörg (Συγγραφέας), Mehrmann, Volker (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the boo...

Πίνακας περιεχομένων:

• Linear Algebra in every day life
• Basic mathematical concepts
• Algebraic structures
• Matrices
• The echelon form and the rank of matrices
• Linear systems of equations
• Determinants of matrices
• The characteristic polynomial and eigenvalues of matrices
• Vector spaces
• Linear maps
• Linear forms and bilinear forms
• Euclidean and unitary vector spaces
• Adjoints of linear maps
• Eigenvalues of endomorphisms
• Polynomials and the Fundamental Theorem of Algebra
• Cyclic subspaces, duality and the Jordan canonical form
• Matrix functions and systems of differential equations
• Special classes of endomorphisms
• The singular value decomposition
• The Kronecker product and linear matrix equations.