Computational Algebraic Geometry
By (author) Hal Schenck
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Computational Algebraic Geometry by Hal Schenck
Book DescriptionThe 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).
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Book DetailsISBN: 9780521536509
(228mm x 152mm x 12mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 6-Oct-2003
Country of Publication: United Kingdom
Books By Author Hal Schenck
Computational Algebraic Geometry, Hardback (September 2003)» View all books by Hal Schenck
This 2003 book investigates interplay between algebra and geometry. Covers: homological algebra, algebraic combinatorics and algebraic topology, and algebraic geometry.
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