GOOD: This book is in good condition, showing only a few signs of use and wear (mostly in the slight curling of the covers). The pages are free of writing.
Product Details
This is volume 58 of Cambridge University Press'sLondon Mathematical Society Student Texts series.
From the back cover: "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 theorem, Cech cohomology, regularity."
Chapters
Basics of Commutative Algebra
Projective Space and Graded Objects
Free Resolutions and Regular Sequences
Gröbner Bases and the Buchberger Algorithm
Combinatorics, Topology and the Stanley-Reisner Ring
