Ideals, Varieties, and Algorithms pp 212-260 | Cite as

# Polynomial and Rational Functions on a Variety

Chapter

## Abstract

One of the unifying themes of modern mathematics is that in order to understand any class of mathematical objects, one should also study *mappings* between those objects, and especially the mappings which preserve some property of interest. For instance, in linear algebra after studying vector spaces, you also studied the properties of *linear mappings* between vector spaces (mappings that preserve the vector space operations of sum and scalar product).

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## Copyright information

© Springer Science+Business Media New York 1997