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Algebraic Geometry and Commutative Algebra (Paperback, 2nd ed. 2022)
Loot Price: R2,033
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Algebraic Geometry and Commutative Algebra (Paperback, 2nd ed. 2022)
Series: Universitext
Expected to ship within 18 - 22 working days
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Algebraic Geometry is a fascinating branch of Mathematics that
combines methods from both Algebra and Geometry. It transcends the
limited scope of pure Algebra by means of geometric construction
principles. Putting forward this idea, Grothendieck revolutionized
Algebraic Geometry in the late 1950s by inventing schemes. Schemes
now also play an important role in Algebraic Number Theory, a field
that used to be far away from Geometry. The new point of view paved
the way for spectacular progress, such as the proof of Fermat's
Last Theorem by Wiles and Taylor. This book explains the
scheme-theoretic approach to Algebraic Geometry for non-experts,
while more advanced readers can use it to broaden their view on the
subject. A separate part presents the necessary prerequisites from
Commutative Algebra, thereby providing an accessible and
self-contained introduction to advanced Algebraic Geometry. Every
chapter of the book is preceded by a motivating introduction with
an informal discussion of its contents and background. Typical
examples, and an abundance of exercises illustrate each section.
Therefore the book is an excellent companion for self-studying or
for complementing skills that have already been acquired. It can
just as well serve as a convenient source for (reading) course
material and, in any case, as supplementary literature. The present
edition is a critical revision of the earlier text.
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