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Titlebook: Linear Geometry; K. W. Gruenberg,A. J. Weir Book 1977 Springer Science+Business Media New York 1977 Mathematica.Natural.algebra.geometry.l

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书目名称Linear Geometry
编辑K. W. Gruenberg,A. J. Weir
视频videohttp://file.papertrans.cn/587/586326/586326.mp4
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Linear Geometry;  K. W. Gruenberg,A. J. Weir Book 1977 Springer Science+Business Media New York 1977 Mathematica.Natural.algebra.geometry.l
描述This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe­ matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.
出版日期Book 1977
关键词Mathematica; Natural; algebra; geometry; language; linear algebra; mathematics; projective geometry
版次1
doihttps://doi.org/10.1007/978-1-4757-4101-8
isbn_softcover978-1-4419-2806-1
isbn_ebook978-1-4757-4101-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1977
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Graduate Texts in Mathematicshttp://image.papertrans.cn/l/image/586326.jpg
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Linear Mappings,Our study of vector spaces in Chapter I involved only a single space at a time, except when we discussed isomorphisms. We must now look at relations between different spaces, possibly even of different dimensions. For this we need a generalization of the notion of isomorphism.
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Euclidean Geometry,.. If . is a real vector space and . is a positive definite bilinear form on ., then (., .) is called a ..
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Modules,In Chapter IV we encountered the problem of finding the similarity classes of square matrices. An illuminating way of dealing with this problem is in terms of .. These arise when we reconsider the notion of vector space by allowing the “scalars” to lie in a set having a more general algebraic structure than that of a field.
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