Computational Algebraic Geometry (Paperback)

Hal Schenck

ISBN 10: 0521536502 / ISBN 13: 9780521536509

Published by Cambridge University Press, Cambridge, 2003

About this Item

Paperback. The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Recent 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 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). Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521536509

Bibliographic Details

• Title: Computational Algebraic Geometry (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2003
• Language: English
• ISBN 10: 0521536502
• ISBN 13: 9780521536509
• Binding: Paperback
• Condition: new

About this title

Synopsis

Recent advances in computing and algorithms make it easier to do many classical problems in algebra. Suitable for graduate students, this book brings advanced algebra to life with many examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The remainder of the book focuses on three active areas of contemporary algebra: homological algebra; algebraic combinatorics and algebraic topology; and algebraic geometry.

Book Description

The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Recent advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. Suitable for graduate students, the objective of this book is to bring advanced algebra to life with lots of examples. The first three chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book then focuses on three active areas of contemporary algebra:* Homological Algebra--the snake lemma, long exact sequence in homology, 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.* Algebraic Geometry--points and curves in projective space, Riemann-Roch, Cech cohomology,regularity.