Linear Algebra: Pure & Applied - Couverture rigide

Goodaire, Edgar

 
9789814508360: Linear Algebra: Pure & Applied
Couverture rigide
ISBN 10 : 9814508365 ISBN 13 : 9789814508360
Editeur : World Scientific Publishing Co Pte Ltd, 2013

Synopsis

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as Linear Algebra I and Linear Algebra II throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a 'real' context. The book reflects the author's background as a pure mathematician all the major definitions and theorems of basic linear algebra are covered rigorously but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

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

Présentation de l'éditeur

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as Linear Algebra I and Linear Algebra II throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a 'real' context. The book reflects the author's background as a pure mathematician all the major definitions and theorems of basic linear algebra are covered rigorously but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

Revue de presse

The style of writing is unhurried and careful. This book could be useful as a textbook or for self-study, particularly for mathematics students in the middle echelon. It is clear and well-written, with a reader-friendly style. --Zentralblatt MATH

Goodaire's book gives a proper balance to logic and computation. This book is worth considering if you feel the need to change books for your course. --Mathematical Association of America

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

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2013
Langue
anglais
ISBN 10 
9814508365
ISBN 13 
9789814508360
Reliure
Relié
Nombre de pages
734
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Allemagne

Autres éditions populaires du même titre

9789814508377: Linear Algebra: Pure & Applied

Edition présentée

ISBN 10 :  9814508373 ISBN 13 :  9789814508377
Editeur : WSPC, 2013
Couverture souple