Using Algebraic Geometry (Graduate Texts in Mathematics) （2ND）

Cox, David A./ Little, John/ O'Shea, Donal

Springer Verlag（2014/11発売）

ただいまウェブストアではご注文を受け付けておりません。 ⇒古書を探す

製本 Paperback:紙装版/ペーパーバック版／ページ数 12 p.
言語 ENG
商品コード 9781489987471
DDC分類 516

Full Description

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.

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.