The Utilize of Abstract Algebra Theory and Applications in Computer Science and Mathematics
Author(s):
Dr. Ajay Gupta, Rishabh Choudhary
Keywords:
Utilize, Abstract Algebra, Excel, Group.
Abstract
Abstract algebra is one of the prerequisites to understand Lie Groups which are very important in Physics (both in theory and applications). All the transformation groups studied in linear algebra are indeed examples of Lie groups. There are also some quite recent methods of numerical integration based on them. The computational commutative algebra tools, primarily Gröbner bases, have several applications from cryptography, to computational biology, to the study of discrete non-linear PDE. They are basically useful each time you have to solve some system of multi-variate polynomials. The study of finite groups (and also some number theory) can be useful to solve combinatorial problems which sometimes arise in theory or trying to solve some real software problem.
Article Details
Unique Paper ID: 145022
Publication Volume & Issue: Volume 4, Issue 7
Page(s): 74 - 80
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