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Computational Algebraic Geometry (London Mathematical Society Student Texts) Paperback – October 6, 2003

2 customer reviews
ISBN-13: 978-0521536509 ISBN-10: 0521536502 Edition: 1st

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Editorial Reviews

Review

"Schenck's book offers an interesting path into this wonderful subject...Any student who completes this book will be excited about algebraic geometry and well-equipped for further reading."
Bulletin of the American Mathematical Society

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.
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Product Details

  • Series: London Mathematical Society Student Texts (Book 58)
  • Paperback: 208 pages
  • Publisher: Cambridge University Press; 1 edition (October 6, 2003)
  • Language: English
  • ISBN-10: 0521536502
  • ISBN-13: 978-0521536509
  • Product Dimensions: 6 x 0.5 x 9 inches
  • Shipping Weight: 10.6 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,719,226 in Books (See Top 100 in Books)

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3 of 4 people found the following review helpful By mathchicken on April 3, 2012
Format: Paperback
Very useful text for me. It's nice to have a brief summary of some of the longer passages from Hartshorne, emphasizing the intuition from varieties and their coordinate rings. I would definitely buy this book if you have an advisor in algebraic geometry who wants you to learn Hartshorne II and III on your own.
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4 of 8 people found the following review helpful By Maya Ahmed on February 17, 2008
Format: Paperback
I will not say this book is an introduction but that its a confusion remover for a serious student of algebraic geometry. This book I consider a part of the much needed revolution happening in algebraic geometry which means that if you browse or spend time reading a book you must learn something. Excellent coverage of a fascinating subject. Enjoy!
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Computational Algebraic Geometry (London Mathematical Society Student Texts)
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