Using Algebraic Geometry

The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.

List of contents

Introduction.- Solving Polynomial Equations.- Resultants.- Computation in Local Rings.- Modules.- Free Resolutions.- Polytopes, Resultants, and Equations.- Integer Programming, Combinatorics, and Splines.- Algebraic Coding Theory.- The Berlekamp-Massey-Sakata Decoding Algorithm.

About the author

Donal O Shea, geboren 1952, ist Professor für Mathematik am Mount Holyoke College in Massachusetts. Für seine mathematischen Arbeiten zur Theorie der Singularitäten ist er international bekannt geworden. Er hat zahlreiche Forschungsbeiträge veröffentlicht und übersetzt aus dem Russischen und Französischen.

Product details

• Authors: David Cox, David A Cox, David A. Cox, Joh Little, John Little, John B. Little, Donal Oshea, Donal O'Shea, Donal B. O'Shea
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9781489987471
• ISBN: 978-1-4899-8747-1
• No. of pages: 12
• Weight: 184 g
• Series: Graduate Texts in Mathematics; Graduate Texts in Mathematics
• Subject: Natural sciences, medicine, IT, technology > IT, data processing