Applications of Computational Algebraic Geometry: American Mathematical Society Short Course, January 6-7, 1997, San Diego, California

Front Cover
David A. Cox, Bernd Sturmfels, Dinesh N. Manocha
American Mathematical Soc., 1998 - Mathematics - 172 pages
0 Reviews
This work introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gr obner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that crunching equations is now as easy as crunching numbers has had a impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusual and accessible, which makes the subject easy to learn and easy to apply. This book begins with an introduction to Gr obner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in this book assume no previous acquaintance with the material.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Related books

Contents

Introduction to resultants
24
Applications to computer aided geometric design
67
Combinatorial homotopy of simplicial complexes and complex information
91
Applications to integer programming
119
Applications to coding theory
143
Index
169
Copyright

Other editions - View all

Common terms and phrases

References from web pages

Math 201 - Calculus I
Math 380 – Computational Algebraic Geometry. Syllabus – Spring 2008. Room 320, MWF 12:40-1:40. Professor Info: Adam Parker Office: 329D Science ...
www3.wittenberg.edu/ aparker/ classes/ 380spring2008.doc

Seminar "Industrielle Anwendungen der Computeralgebra"
Seminar "Industrielle Anwendungen der Computeralgebra". Seminarleitung: Dr. Martin Kreuzer, Zi. M 003, Tel. 943 -3036 ...
staff.fim.uni-passau.de/ kreuzer/ 1999_SoSe/ indaca.html

The AMS Annual Publisher's Discount Sale, Volume 53, Number 9
Analysis. The Backward Shift on the Hardy. Space. Joseph A. Cima, University of North Carolina,. Chapel Hill, NC, and William T. Ross, ...
www.ams.org/ notices/ 200609/ noti-oct06-2pg-sprd-ad.pdf

Bibliographic information