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A course in linear algebra
George, Raju K.
eBook
Springer <editore>
2024
Abstract
Designed for senior undergraduate and graduate courses in mathematics and engineering, this self-contained textbook discusses key topics in linear algebra with real-life applications. Split into two parts—theory in part I and solved problems in part II—the book makes both theoretical and applied linear algebra easily accessible.
[...]
Topics such as sets and functions, vector spaces, linear transformations, eigenvalues and eigenvectors, normed spaces, and inner product spaces are discussed in part I; while in part II, over 500 meticulously solved problems show how to use linear algebra in real-life situations. A must-have book for linear algebra courses; it also serves as valuable supplementary material. (Dal sito dell'editore)
eBook
Monografia
Description
A *course in linear algebra / Raju K. George, Abhijith Ajayakumar. - Singapore : Springer, 2024. - 1 testo elettronico (xiii, 551 p. : ill.)
ISBN E-Book
9789819986804
Series
University texts in the mathematical sciences
Author
Coauthor
Subjects
15A03 - Vector spaces, linear dependence, rank, lineability [MSC 2020]
15A04 - Linear transformations, semilinear transformations [MSC 2020]
15A06 - Linear equations (linear algebraic aspects) [MSC 2020]
15A09 - Theory of matrix inversion and generalized inverses [MSC 2020]
15A10 - Applications of generalized inverses [MSC 2020]
15A18 - Eigenvalues, singular values, and eigenvectors [MSC 2020]
15A20 - Diagonalization, Jordan forms [MSC 2020]
15A63 - Quadratic and bilinear forms, inner products [MSC 2020]
15Axx - Basic linear algebra [MSC 2020]
15B10 - Orthogonal matrices [MSC 2020]
15Bxx - Special matrices [MSC 2020]
46B20 - Geometry and structure of normed linear spaces [MSC 2020]
46Bxx - Normed linear spaces and Banach spaces; Banach lattices [MSC 2020]
46C50 - Generalizations of inner products (semi-inner products, partial inner products, etc.) [MSC 2020]
46Cxx - Inner product spaces and their generalizations, Hilbert spaces [MSC 2020]
47A05 - General (adjoints, conjugates, products, inverses, domains, ranges, etc.) [MSC 2020]
47A15 - Invariant subspaces of linear operators [MSC 2020]
47A30 - Norms (inequalities, more than one norm, etc.) of linear operators [MSC 2020]
47Axx - General theory of linear operators [MSC 2020]
47B02 - Operators on Hilbert spaces (general) [MSC 2020]
47B15 - Hermitian and normal operators (spectral measures, functional calculus, etc.) [MSC 2020]
47Bxx - Special classes of linear operators [MSC 2020]
Parole chiave
Eigenvalues and Eigenvectors
Inner product spaces
Linear algebra
Linear operators
Linear transformations
Vector spaces
Publication place
Singapore
Publisher
Springer <editore>
Publication year
2024
Thesaurus
15A03
15A04
15A06
15A09
15A10
15A18
15A20
15A63
15Axx
15B10
15Bxx
46B20
46Bxx
46C50
46Cxx
47A05
47A15
47A30
47Axx
47B02
47B15
47Bxx
Applications of generalized inverses [MSC 2020]
Basic linear algebra [MSC 2020]
Diagonalization, Jordan forms [MSC 2020]
Eigenvalues, singular values, and eigenvectors [MSC 2020]
General (adjoints, conjugates, products, inverses, domains, ranges, etc.) [MSC 2020]
General theory of linear operators [MSC 2020]
Generalizations of inner products (semi-inner products, partial inner products, etc.) [MSC 2020]
Geometry and structure of normed linear spaces [MSC 2020]
Hermitian and normal operators (spectral measures, functional calculus, etc.) [MSC 2020]
Inner product spaces and their generalizations, Hilbert spaces [MSC 2020]
Invariant subspaces of linear operators [MSC 2020]
Linear equations (linear algebraic aspects) [MSC 2020]
Linear transformations, semilinear transformations [MSC 2020]
Normed linear spaces and Banach spaces; Banach lattices [MSC 2020]
Norms (inequalities, more than one norm, etc.) of linear operators [MSC 2020]
Operators on Hilbert spaces (general) [MSC 2020]
Orthogonal matrices [MSC 2020]
Quadratic and bilinear forms, inner products [MSC 2020]
Special classes of linear operators [MSC 2020]
Special matrices [MSC 2020]
Theory of matrix inversion and generalized inverses [MSC 2020]
Vector spaces, linear dependence, rank, lineability [MSC 2020]
https://unina2.on-line.it/opac/resource/VAN00310073?locale=eng