Using algebraic geometry

著者

• Cox, David A.
• Little, John B.
• O'Shea, Donal

書誌事項

Using algebraic geometry

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

（Graduate texts in mathematics, 185）

Springer, c2005

2nd ed

• : hbk
• : pbk

注記

Includes bibliographical references (p. 533-545) and index

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA71631311
• ISBN:
  • 0387207066
  • 9780387207339
• LCCN: 2003070363
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xii, 572 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA564
  • DC22 : 516.3/5
• 件名:
  • LCSH : Geometry, Algebraic
• 親書誌ID:
  • BA00010074