Finitely Generated Abelian Groups and Similarity of Matrices over a Field by Christopher Norman

Finitely Generated Abelian Groups and Similarity of Matrices over a Field by Christopher Norman

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Summary

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. The analogous theory of matrix similarity over a field is then developed in Part 2 starting with matrices having polynomial entries: two matrices over a field are similar if and only if their rational canonical forms are equal.

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Finitely Generated Abelian Groups and Similarity of Matrices over a Field by Christopher Norman

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. The analogous theory of matrix similarity over a field is then developed in Part 2 starting with matrices having polynomial entries: two matrices over a field are similar if and only if their rational canonical forms are equal.

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 finitely generated Abelian groups or canonical forms of square matricesThe book contains detailed proofs, illuminating examples, and many exercises which will help the reader to understand very well the presented techniques. … will help the reader to pass from linear to abstract algebra, so I recommend it to all undergraduate students.” (Simion Sorin Breaz, Zentralblatt MATH, Vol. 1242, 2012)

SKU Unavailable
ISBN 13 9781447127291
ISBN 10 1447127293
Title Finitely Generated Abelian Groups and Similarity of Matrices over a Field
Author Christopher Norman
Series Springer Undergraduate Mathematics Series
Condition Unavailable
Binding Type Paperback
Publisher Springer London Ltd
Year published 2012-01-26
Number of pages 381
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.