1.

Record Nr.

UNINA9910811864403321

Autore

Gockenbach Mark S.

Titolo

Finite-dimensional linear algebra / / by Mark S. Gockenbach

Pubbl/distr/stampa

Boca Raton, FL : , : CRC Press, an imprint of Taylor and Francis, , 2010

ISBN

1-04-005269-X

0-429-06686-4

1-4398-8287-8

Edizione

[First edition.]

Descrizione fisica

1 online resource (673 p.)

Collana

Discrete Mathematics and Its Applications

Disciplina

512/.5

Soggetti

Algebras, Linear

Dimensional analysis

Finite fields (Algebra)

Vector spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Cover; Title; Copyright; Contents; Preface; About the Author; Chapter 1: Some problems posed on vector spaces; Chapter 2: Fields and vector spaces; Chapter 3: Linear operators; Chapter 4: Determinants and eigenvalues; Chapter 5: The Jordan canonical form; Chapter 6: Orthogonality and best approximation; Chapter 7: The spectral theory of symmetric matrices; Chapter 8: The singular value decomposition; Chapter 9: Matrix factorizations and numerical linear algebra; Chapter 10: Analysis in vector spaces; A The Euclidean algorithm; B Permutations; C Polynomials; D Summary of analysis in R

BibliographyIndex

Sommario/riassunto

Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.