Linear Algebra

Language: English

Published by Birkhauser Verlag AG, CH, 2002

376436792X / 9783764367923

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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. Softcover reprint of the original 1st ed. 2002.…

Seller Inventory # LU-9783764367923

Title
Linear Algebra
Author
Harvey E. Rose
Publisher
Birkhauser Verlag AG, CH
Publication year
2002
Condition
New
Binding
Paperback
Language
English
ISBN 10
376436792X
ISBN 13
9783764367923

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