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Computational Algebraic Geometry

Name: Computational Algebraic Geometry
Brand: Cambridge University Press
SKU: 02034250
Price: 19597 HUF
Availability: InStock
Author: Hal Schenck
ISBN: 9780521536509

Hal Schenck

Language

English

Book Paperback

Libristo code: 02034250

Publishers Cambridge University Press, October 2003

The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigat... Full description

Libristo code: 02034250

134 b

19 597 Ft

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The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity).