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Some Topics in Algebra - An Advanced Undergraduate Course at PKU (Paperback, Softcover reprint of the original 1st ed. 2014)
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Some Topics in Algebra - An Advanced Undergraduate Course at PKU (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Mathematical Lectures from Peking University
Expected to ship within 10 - 15 working days
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During the springs of 2011 and 2012, the author was invited by
Peking University to give an advanced undergraduate algebra course
(once a week over two months each year). This book was written
during and for that course. By no way does it claim to be too
exhaustive. It was originally intended as a brief introduction to
algebra for an extremely pleasant and passionate audience. It
certainly reflects some of the author's own tastes, and it was
influenced by the feelings and the reactions of the students.
Nevertheless, the result covers some advanced undergraduate algebra
(rings, ideals, basics of fields theory, algebraic integers,
modules, hom and tensor functors, projective modules, etc.)
illustrated by numerous examples, counterexamples and exercises.
Following a worldwide tradition, the author had planned to conclude
by lecturing on the structure of finitely generated modules over
principal ideal domains. But during the course, after explaining
that the notion of projective modules is more natural than the
notion of free modules, it became clear that principal ideal
domains needed to be replaced by Dedekind rings; this is much less
traditional in the literature - but not more difficult.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Mathematical Lectures from Peking University |
Release date: |
August 2016 |
First published: |
2014 |
Authors: |
Michel Broue
|
Dimensions: |
235 x 155 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
201 |
Edition: |
Softcover reprint of the original 1st ed. 2014 |
ISBN-13: |
978-3-662-52505-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
LSN: |
3-662-52505-4 |
Barcode: |
9783662525050 |
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