In recent years, the discovery of new algorithms for dealing with
polynomial equations, coupled with their implementation on fast
inexpensive computers, has sparked a minor revolution in the study
and practice of algebraic geometry. These algorithmic methods have
also given rise to some exciting new applications of algebraic
geometry. This book illustrates the many uses of algebraic
geometry, highlighting some of the more recent applications of
Grvbner bases and resultants. In order to do this, the authors
provide an introduction to some algebraic objects and techniques
which are more advanced than one typically encounters in a first
course, but nonetheless of great utility. The book is written for
nonspecialists and for readers with a diverse range of backgrounds.
It assumes knowledge of the material covered in a standard
undergraduate course in abstract algebra, and it would help to have
some previous exposure to Grvbner bases. The book does not assume
the reader is familiar with more advanced concepts such as modules.
For this new edition the authors added two new sections and a new
chapter, updated the references and made numerous minor
improvements throughout the text.
Springer Science+Business Media
|Country of origin:
||Graduate Texts in Mathematics, 185
David A. Cox
• John Little
• Donal O'Shea
||Electronic book text
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