holiday reading?



> Sent: Monday, December 16, 2002 12:22 PM
> Subject: holiday reading?
>  
> I'd like to know what you all consider landmark papers/dissertations
in computer algebra. 
> I need a little reading material for the holidays.
> 
> Thanks, Sam Tannous

My answer is: Cox, Little & O'Shea, twice.

1. Ideals, Varieties, and Algorithms: An Introduction to Computational
Algebraic Geometry and Commutative Algebra (Undergraduate Texts in
Mathematics)

2. Using Algebraic Geometry (Graduate Texts in Mathematics, 185)

A lot of esoteric mathematics of fields and rings of polynomials
(especially over finite fields) is finally finding applications that
warrant a computer scientist's attention.  (The mathematician's
preference would be, of course, to declare any such field to be
engineering rather than math, but that's a discussion for another time.)

Read, enjoy, see what you think.
Roger A. Shepherd.

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