홈 editorial content online
Volume 14 (2012)
No 1
Volume 13 (2011)
No 1
Volume 12 (2010)
No 1
Volume 11 (2009)
No 1, No 2
Volume 10 (2008)
No 1, No 2
Volume 9 (2006)
No 1, No 2
Volume 8 (2005)
No 1, No 2
Volume 7 (2004)
No 1, No 2
Volume 6 (2003)
No 1, No 2
Volume 5 (2002)
No 1, No 2
Volume 4 (2001)
No 1, No 2
Volume 3 (2000)
No 1
Volume 2 (1999)
No 1
Volume 1 (1998)
No 1

(1999 / vol.2 / no.1)
On Algebraic Analysis II
Sun T. Soh
Pages. 208-218     



As a continuation of my article, $ extit{"On Algebraic
Analysis I''}$, an underlying theory for computational mathematics called,
Algebraic Analysis, is discussed with some examples and helpful remarks.
Based on thse results, some important elementary algorithms in Algebraic
Analysis are accordingly discussed.



1. Introduction
2. The division algorithm in several variables
3. Groebner bases
4. Buchberger's algorithm for Groebner bases
5. Elimination and extension theory
6. Dimension theory
7. Algorithms based on Buchberger's algorithm
8. Further results



symbolic computation,approximation



01-08, 01A67