Linear Algebra

Harvey E. Rose

ISBN 10: 376436792X / ISBN 13: 9783764367923

Edité par Birkhäuser Basel, Birkhäuser Basel Okt 2002, 2002

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; a linear expression is a sum of scalar multiples of the entities under consideration. Also, an operation is called linear if it preserves addition, and multiplication by a scalar. For example, if A and Bare 2 x 2 real matrices, v is a (row) vector in the real plane, and c is a real number, then v(A + B) = vA + vB and (cv)A = c(vA), that is, the process of applying a matrix to a vector is linear. Linear Algebra is the study of properties and systems which preserve these two operations, and the following pages present the basic theory and results of this important branch of pure mathematics. There are many books on linear algebra in the bookshops and libraries of the world, so why write another A number of excellent texts were written about fifty years ago (see the bibliography); in the intervening period the 'style' of math ematical presentation has changed. Also, some of the more modern texts have concentrated on applications both inside and outside mathematics. There is noth ing wrong with this approach; these books serve a very useful purpose. But linear algebra contains some fine pure mathematics and so a modern text taking the pure mathematician's viewpoint was thought to be worthwhile. 268 pp. Englisch.

N° de réf. du vendeur 9783764367923

Détails bibliographiques

• Titre: Linear Algebra
• Éditeur: Birkhäuser Basel, Birkhäuser Basel Okt 2002
• Date de parution: 2002
• Langue: anglais
• ISBN à 10 chiffres: 376436792X
• ISBN à 13 chiffres: 9783764367923
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 15 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 15 millimètres de profondeur
• Poids: 411 grammes

A propos de ce titre

Synopsis

In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; a linear expression is a sum of scalar multiples of the entities under consideration. Also, an operation is called linear if it preserves addition, and multiplication by a scalar. For example, if A and Bare 2 x 2 real matrices, v is a (row) vector in the real plane, and c is a real number, then v(A + B) = vA + vB and (cv)A = c(vA), that is, the process of applying a matrix to a vector is linear. Linear Algebra is the study of properties and systems which preserve these two operations, and the following pages present the basic theory and results of this important branch of pure mathematics. There are many books on linear algebra in the bookshops and libraries of the world, so why write another? A number of excellent texts were written about fifty years ago (see the bibliography); in the intervening period the 'style' of math- ematical presentation has changed. Also, some of the more modern texts have concentrated on applications both inside and outside mathematics. There is noth- ing wrong with this approach; these books serve a very useful purpose. But linear algebra contains some fine pure mathematics and so a modern text taking the pure mathematician's viewpoint was thought to be worthwhile.