Computational Algebraic Geometry

Schenck Hal Schenck Henry Series C. M.

ISBN 10: 052182964X / ISBN 13: 9780521829649

Published by Cambridge University Press, 2003

About this Item

PRINT ON DEMAND pp. 208. Seller Inventory # 18544796

Bibliographic Details

Title: Computational Algebraic Geometry

Publisher: Cambridge University Press

Publication Date: 2003

Binding: Hardcover

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.