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Sinopsis
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.
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"Rose's Linear Algebra is a highly sophisticated undergraduate work...This book would be excellent for mathematics majors or for non-majors with access to a second course in which applications were presented. Summing Up: Recommended for lower- and upper-division undergraduates."--Choice
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Linear Algebra: A Pure Mathematical Approach
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Springer Basel AG, 2002
ISBN 10: 376436792X
ISBN 13: 9783764367923
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Linear Algebra: A Pure Mathematical Approach
Publicado por
Springer Basel AG, 2002
ISBN 10: 376436792X
ISBN 13: 9783764367923
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Librería: Anybook.com, Lincoln, Reino Unido
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Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9783764367923. Nº de ref. del artículo: 9722573
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Linear Algebra: A Pure Mathematical Approach
Publicado por
Springer Basel AG, 2002
ISBN 10: 376436792X
ISBN 13: 9783764367923
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Librería: Anybook.com, Lincoln, Reino Unido
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Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9783764367923. Nº de ref. del artículo: 9722574
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Linear Algebra : A Pure Mathematical Approach
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Linear Algebra: A Pure Mathematical Approach (Paperback or Softback)
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Linear Algebra: A Pure Mathematical Approach
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Linear Algebra : A Pure Mathematical Approach
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Linear Algebra (Paperback)
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Birkhauser Verlag AG, Basel, 2002
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Paperback. Condición: new. Paperback. Linear Algebra is one of the most important branches of mathematics - important because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, and develops and proves its fundamental properties and theorems taking a pure mathematical approach - linear algebra contains some fine pure mathematics. Main topics: vector spaces and algebras, dimension, linear maps, direct sums, and (briefly) exact sequences; matrices and their connections with linear maps, determinants (properties proved using some elementary group theory), and linear equations; Cayley-Hamilton and Jordan theorems leading to the spectrum of a linear map - this provides a geometric-type description of these maps; Hermitian and inner product spaces introducing some metric properties (distance, perpendicularity etc.) into the theory, also unitary and orthogonal maps and matrices; applications to finite fields, mathematical coding theory, finite matrix groups, the geometry of quadratic forms, quaternions and Cayley numbers, and some basic group representation theory In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; But linear algebra contains some fine pure mathematics and so a modern text taking the pure mathematician's viewpoint was thought to be worthwhile. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9783764367923
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Linear Algebra
Publicado por
Birkhauser Verlag AG, CH, 2002
ISBN 10: 376436792X
ISBN 13: 9783764367923
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Paperback. Condición: New. 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. Nº de ref. del artículo: LU-9783764367923
Cantidad disponible: Más de 20 disponibles