Linear Algebra: Vector Spaces and Linear Transformations - Couverture souple

Dillon, Meighan I.

 
9781470469863: Linear Algebra: Vector Spaces and Linear Transformations
Couverture souple
ISBN 10 : 1470469863 ISBN 13 : 9781470469863
Editeur : American Mathematical Society, 2023

Synopsis

This textbook is directed towards students who are familiar with matrices and their use in solving systems of linear equations. The emphasis is on the algebra supporting the ideas that make linear algebra so important, both in theoretical and practical applications. The narrative is written to bring along students who may be new to the level of abstraction essential to a working understanding of linear algebra. The determinant is used throughout, placed in some historical perspective, and defined several different ways, including in the context of exterior algebras. The text details proof of the existence of a basis for an arbitrary vector space and addresses vector spaces over arbitrary fields. It develops LU-factorization, Jordan canonical form, and real and complex inner product spaces. It includes examples of inner product spaces of continuous complex functions on a real interval, as well as the background material that students may need in order to follow those discussions. Special classes of matrices make an entrance early in the text and subsequently appear throughout. The last chapter of the book introduces the classical groups.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Meighan I. Dillon, Kennesaw State University, Marietta, GA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2023
Langue
anglais
ISBN 10 
1470469863
ISBN 13 
9781470469863
Reliure
Broché
Nombre de pages
367
Coordonnées du fabricant
non disponible
Personne responsable
non disponible