[PDF.07tm] Finitely Generated Abelian Groups and Similarity of Matrices over a Field (Springer Undergraduate Mathematics Series)
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Finitely Generated Abelian Groups and Similarity of Matrices over a Field (Springer Undergraduate Mathematics Series)
Christopher Norman
[PDF.af82] Finitely Generated Abelian Groups and Similarity of Matrices over a Field (Springer Undergraduate Mathematics Series)
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| #3674755 in Books | 2012-02-12 | Original language:English | PDF # 1 | 9.25 x.90 x6.10l,1.22 | File type: PDF | 381 pages||||From the reviews:|“‘Designed to be a second course in linear algebra suitable for second/third mathematics undergraduates, or postgraduates’, will help the readers to improve their knowledge of basic notions in algebra, as the structure of f
At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction to such groups: two finitely generated abelian groups ...
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