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Using Algebraic Geometry (Graduate Texts in Mathematics (185)) by David A. Cox; John B. Little; Donal O'Shea is a nonfiction available to read on EtoBox.

What is Using Algebraic Geometry (Graduate Texts in Mathematics (185)) about?

Once thought to be high-brow estoeric mathematics, algebraic geometry is now finding applications in a myriad of different areas, such as cryptography, coding algorithms, and computer graphics. This book gives an overview of some of the techniques involved when applying algebraic geometry. The authors gear the discussion to those who are attempting to write computer code to solve polynomial equations and thus the first few chapters cover the algebraic structure of ideals in polynomial rings and Grobner basis algorithms. The reader is expected to have a fairly good background in undergraduate algebra in order to read this book, but the authors do give an introduction to algebra in the first chapter. Many exercises permeate the text, some of which are quite useful in testing the reader's understanding. The Maple symbolic programming language is used to illustrate the main algorithms, and I think effectively so. The authors do mention other packages such as Axiom, Mathematica, Macauley, and REDUCE to do the calculations. The chapter on local rings is the most well-written in the book, as the idea of a local ring is made very concrete in their discussion and in the examples. Th

Who reads Using Algebraic Geometry (Graduate Texts in Mathematics (185))?

Author

David A. Cox; John B. Little; Donal O'Shea

Publisher

Springer US

Published

2005

Language

EN

ISBN

9780387984926

Category

nonfiction

Subjects

Mathematics, Stem