Springer, Date: 1984-10-31. Paperback. Good. 1984. Springer ISBN 0387960740 9780387960746 [US]

Springer , pp. 228 2nd Edition . Papeback. Used. Springer ISBN 0387960740 9780387960746 [US]

ISBN10: 0387960740, ISBN13: 9780387960746, [publisher: Springer New York] Softcover Druck auf Anfrage Neuware - Printed after ordering - These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector-valued functions. The idea is to introduce students to some of the concepts of Lie group theory-- all done at the concrete level of matrix groups. As much as we could, we motivated developments as a means of deciding when two matrix groups (with different definitions) are isomorphic. In Chapter I 'group' is defined and examples are given; ho- morphism and isomorphism are defined. For a field k denotes the algebra of n x n matrices over k We recall that A E Mn(k) has an inverse if and only if det A ~ 0 , and define the general linear group GL(n,k) We construct the skew-field lli of to operate linearly on llin quaternions and note that for A E Mn(lli) we must operate on the right (since we mUltiply a vector by a scalar n on the left). So we use row vectors for R , en, llin and write xA for the row vector obtained by matrix multiplication. We get a ~omplex-valued determinant function on Mn (11) such that det A ~ 0 guarantees that A has an inverse.
[Einbeck, Germany] [Publication Year: ...
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ISBN10: 0387960740, ISBN13: 9780387960746, [publisher: Springer New York] Softcover Druck auf Anfrage Neuware - Printed after ordering - These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector-valued functions. The idea is to introduce students to some of the concepts of Lie group theory-- all done at the concrete level of matrix groups. As much as we could, we motivated developments as a means of deciding when two matrix groups (with different definitions) are isomorphic. In Chapter I 'group' is defined and examples are given; ho- morphism and isomorphism are defined. For a field k denotes the algebra of n x n matrices over k We recall that A E Mn(k) has an inverse if and only if det A ~ 0 , and define the general linear group GL(n,k) We construct the skew-field lli of to operate linearly on llin quaternions and note that for A E Mn(lli) we must operate on the right (since we mUltiply a vector by a scalar n on the left). So we use row vectors for R , en, llin and write xA for the row vector obtained by matrix multiplication. We get a ~omplex-valued determinant function on Mn (11) such that det A ~ 0 guarantees that A has an inverse.
[Einbeck, Germany] [Publication Year: ...
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New York, NY Springer 1984 2nd 1984 ed. Trade paperback New. Trade paperback (US). Glued binding. 228 p. Contains: Unspecified. Universitext.

Springer, Date: 1984-10-31. Paperback. New. New. In shrink wrap. Looks like an interesting title! 1984. Springer ISBN 0387960740 9780387960746 [US]

Springer, Date: 1984. 2nd. Paperback. New. 1984. Springer ISBN 0387960740 9780387960746 [IN]