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Commutative Algebra (2nd, revised Edition)
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Commutative Algebra (2nd, revised Edition)
Series: De Gruyter Textbook
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The primary audience for this book is students and the young
researchers interested in the core of the discipline. Commutative
algebra is by and large a self-contained discipline, which makes it
quite dry for the beginner with a basic training in elementary
algebra and calculus. A stable mathematical discipline such as this
enshrines a vital number of topics to be learned at an early stage,
more or less universally accepted and practiced. Naturally, authors
tend to turn these topics into an increasingly short and elegant
list of basic facts of the theory. So, the shorter the better.
However, there is a subtle watershed between elegance and
usefulness, especially if the target is the beginner. From my
experience throughout years of teaching, elegance and terseness do
not do it, except much later in the carrier. To become useful, the
material ought to carry quite a bit of motivation through
justification and usefulness pointers. On the other hand, it is
difficult to contemplate these teaching devices in the writing of a
short book. I have divided the material in three parts. starting
with more elementary sections, then carrying an intermezzo on more
difficult themes to make up for a smooth crescendo with additional
tools and, finally, the more advanced part, versing on a reasonable
chunk of present-day steering of commutative algebra. Historic
notes at the end of each chapter provide insight into the original
sources and background information on a particular subject or
theorem. Exercises are provided and propose problems that apply the
theory to solve concrete questions (yes, with concrete polynomials,
and so forth).
General
Imprint: |
De Gruyter
|
Country of origin: |
Germany |
Series: |
De Gruyter Textbook |
Release date: |
August 2023 |
First published: |
2023 |
Authors: |
Aron Simis
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Dimensions: |
240 x 170mm (L x W) |
Pages: |
370 |
Edition: |
2nd, revised Edition |
ISBN-13: |
978-3-11-107845-8 |
Categories: |
Books
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LSN: |
3-11-107845-0 |
Barcode: |
9783111078458 |
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